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ONYAN e*dr=dUmowdap»Nde*+1=UPONPO 1 e e+] lee"vow ff 1 ~Jane-Je=e+] lte™* i :ToY Dy) ON Ite" =U sapi ede =dU -(msm9n9 *79Ty)dWRoSMOPTA Nds2wPypNIASYAPNPYDYNID| au =-fS=-InU+e=-In(lte*)+eIG (ite) aen@i [desin’x . D9)DNi Ussing sapil dU=cosxde _PSDMIN DYNINAYooI9DNOMADTWdPXWD? | 6s a i ANANDTITS209AINI991)OW Jeaesinx=[desinx(1-cos?x) U=cosx i ~sinxde=dUF sap) Loy 1 i =-Java-U*)=-U+sU temcose+5cos)x i sawn(3 sinxde ilJigate =(EScosx sD¥} ON a U=cosxI dU»~sin xd a ap)! =-{M=-iny+e=-incosx +e PU | STD TY ONAyD DyDWVIN WAY) NONMN NPYpNeA OPW yA139Ow ke nfAMMWNYDD NyYpNe WYOTNi :awn(4 | Pa ke Lpde! laa ®=!| 2sin=cos= 7”sgcos? = e 2 2 "2 2 es U=@> : | lide dU ==—— 2 2 cos”> =[rau =1nU+e=inig +e u 2 i Wars? APonM Vannavy‘sins SMM DNIMNIMD MPN SW_DTTIDIN 9.3 2DY*PDA WITVINN NNPNT | [sinxd=~cosx+e foosxdr =sinx + [gear =[ae = / *cosx PN9"9 i cosx =U -sinxdr=dU iqu=AF -InU+c=~Incosx+c=Insecx +c cosxdl i footxdr =f*ar=feeinv-c= Insinx+c *sinx U i sinx =U cosxde=dU iisayavny fscexak= i secx+ige Z sap) SEIS 5snomen 99 ON secx+/gx a .isec’x+/gxsecxigtsece i:2033 ON U=tgx+secx dU=(sec?x+1gxsecx}dr a wyap =P=I+e=Intige+secx)+e a qowimaa + i [dresox =[SESE OMX4 .7 csex +cotx al=~(csexcotx+esc?x}dr B 66 rl au 1 ) L+cosr) ‘=~]=-In(esex+cotx)+e=~In|iSE)ve=nS+e= iU siox sinx. sine 7 asin) x) =-In|————*—sealniigs te i \2sin%4cos*%4) 2. 973:TY77WONNNTNWNwnypawAIDAt7aT!OTPwoIPwANSIN i407) uNndINW vawN) YOR a 1 i [eae =igretcos? x 1 Joyce=cotr+e isin? x TDYWIMNONA NPN NYY 79DYOI7VIN OY NN i — SDWWINA NYSPDYDIWVINIVMNN’INYBNWON)NNANNIT i sawn (2 i Jsin(2x+7)ae = i Us2x+7 I dU =2de = au i aUade2 Cn rr | 1 i=Jsin>=JsinUdU=-cos+e=~>cos(2x +7)+e i 6 DerTs? NpeoNN y7an An7w “ss aunt: fx2) Joecptae= | xinuated | a=+dx i (xx)=2f sec? =24 =21g =+7) 4sec?UdU=2igU+estt)te i aun 3 21 1 LolpdU j feos?xa=fact+e0s2x)=>+5]ecos2xayeslau = U=2r i dU=2d etresinvseedeetsinarte i24 24 sNPIWIMN NYYPNSvTY?kan?ynoynNwwsMasTwyWd? a sawn i Jede-x* cot(x’) = 1209)ON | v=U 3x°de=dU B xidre=wv iB° | dU ,1 , 1 3JFcot=Javea=jlncosv+e=FIn(cos(x+e a va p>)(ypa do212) ndwdroSMTN Dw>TSpNG dUcot1209NA WdWDD? = <7ay3cotbyTawOAPDTAYNN | 70 ] lL yaa anya ‘378 i sawn(s fa—=isin’x DM)ON =U i2xde=dU au i xde= sap) apeheiguse=-Sater’+6 i2¢sin?7U 2 2 sawn (6 foue-i1+cosx inown 99 LtCOS_cog?X 2 2 a 21n299) tf -JSamgure=whee , DTeos¥©cos iy fea 2 2 saun (7 =) 2xdy=([——-1]dr =tgx-x+e goo feeelGaes Le i ¥ F e 1 Ways?Aeon VaannD7w‘5179 i-DYNIMNOVON MYND O7TAIN 9.4 fatec= +0 ] Ina ferde=e* +e i smNmavt sunbi fevde= ps i Us2x dU=2deLp ly1=fe%dee fevauate’ scale ac i fe aleU=se! tomsee+ wn i fret ae=0K il Us-x7 adU=-2xde E AW|vate 2 =-2fave?=-Le+e=-Le* +0 i 2 2 2 sPypnen dyPann dydwOSNIOTA NDI MSPND dvMPD VdTT WO ayn(3] 12de \ +e" iYo yt caboley a bow | ; ( e)\y-} | =fe*-er+ dx=—e**~e* +In(l+e*)+e J\ e+ 2 n(i=e") cunt a Jet?cosydy = . n| F { mapns?npvonnn panmw“sng | siny=Ucosydy =dU | . sawnj= =ver+6 | :D¥)ON e+6=U j ede=dU =(eZ=fuMay=20%+=2We* |=fieele dU=2U"*+0=2e*+6+e t eMDNaAA nyo NyxpN|n 9.5, J ovmon oro Hand = =aresinx+¢ ivi-x? &JBenarigrse y= aresecx MYDNOA NNMWD ATTHY? WN DROW TyANY AD Fala)=) 1 x=secy=—— cosy x 9) TWAT Dw OAINT IW TIN TD peCsinvddysinydy STcostydkcosyae VG a i : de igysecy :9N 7 — Igy=jz 1=ysec* y-1oe p> [a aie a”secyyisec? y—1vx?=1 1Jae =aresecx +exvx?-1 errs?apooM yananya-sris ! « ‘A sum mac) x aU i fiw a de=ad | =[pg=wesinscxansinZ+e i . 2" asa ad) a a= a fey B== ds=adtd a aalge tre te J*--j-_*—- avx?aa? iya.(Z-1 i Via! a iw rya 7 a E wepers? peanyaaa mw ‘3713 [eh hares ve aUJU7-1 aUVU?-1 —f=haresec* +e \xvyxi-a@ a a smxnat i a ai16=25x" :pM) ON U=5x | dU=SdeLYope j 3 oh[qe=baresinoe=LarenF+0 i3/Jie-u> 5 4 3 4 bsQa [= i11+7x? sD?) ON l U=ixaU=Vide i LYax7 iaseeereer 7Wine Fem a ein i GB. ——ivax? -49 22NDON .2x=U i 2dx=dU ae 2 = (|S =areseo+e=Fare see :i uu?-497777 j75 DNprs? mp-woM Van mw ‘sng a je_ vi-x* :2)8)ON xray j3x7dk=dy ' =t(Be aesinyse=larcsinx’+ | Faner 3 ” 3 ‘Ss j ; ox Jaue-x°43 90N i xtsy 2xdx=dy 1] lpdw 11 y 1 x? =SJ =5-areig +c=+arcig+ es 2aeRmRm Re i « Ee iv9-(+1) 20S)ON i x+12U a&=dU i ;_dU _U xt] : =| =arcsin— +c=arcsin~— +6y9-u? 3 3 i 7 fx-7_ ilvi-x? :2Y) ON 1-x?=U i ~2ude=dU pox jak lpqaU. low . al =Nr esealggTwesins+e=520—darosine+C =(1-')? —7aresinx+6 a 76 a I jwxprs? APYONND van anzw ‘ans a jee eexee4es7Sxadee4a3F(x52)43 i DMON Uax+2 i dU=dri dui u 1 x+2 odcctalklaSaa i Q [——-|——*—_- J—_*_- i ¥20+8x =x? [a6~(x? ~8x+16)” [pe-(e-4)*]"* sD) ON i Usx-4 dU=ae | [tee aesin4+ & V36-U* 6 i G3 i [Se-[=J=resin22+Voxvar7fa—(xF-4x-4) *fa-(e-2)° 2 I : Jo i V21+12x-9x? wnwa Tina nwan nN Noy i 21+12x—9x? =21-(9x? -12x+4)+4==25-(9x? -12x +4)=25-(3x-2)? Fy j—*-1j- : | y25-(3x-2)? 3°/25-y? 3x-2=y I 3dx=dy aa? i3 =taresin28?46 i3 5 7 wep'rs? AYO yan mw ‘sa 6‘ J—*— -j—*#—--3j —*_- BxP44x45$Ox7412x415 7(3x42) +11 j| 3x=U ‘ 3dx=dU | =Je areigy=1areig=?+¢ Gen ee aeo | x+] +1 x-243 (-2) 00, 1fot ae=[ED 8p28pe[OOD teofnex74x48 (x=2)) +407(x-2)° +4 (x-2)' +4 (x-2)' +4 {wo MW dv MASY AWA NN ND Us(x-2)' +4 i dU=2x-2)de _my2pn Dy DOSNIVT AIDA Ww _ipau1} 3)yd 23)x-2 fi aN peaB=qldyaretss+e=tall2)+4]+Sarcig +e a i +4arVS-4x-x7 WNWNNNDNSM97T 13PYTANS?TWANNNPD I 1; _-2x-4-4 1 ~2x~4 dx= [er =~-(Ee+22 otreer amace ‘errr i sy)ONi ysS-4x-x7 dy=(-4-2x)dr il$-4x~x7 =5-(x? +4x44)+4= . =9~-(r?44x44) i lpay de 1y# +2 27 =a5]2ome =Se+pares +=Sma +avesin=+6|yt SYo-@e2y 2h 3 3 7 a i :D1909 1 1 x Jar=—arerg=+e ia+r aa . 1 x Joa=arcsin=+c ila?—x? a 1 1 x [rpteeo parceecdte iwre @ a -DPTTIOIN JANI POINI IV NIWA WN? 1ANI NIN WNW MYPNIN IwIVIN PI xtta? i é&les SSIe lox+Ve?=a")+0 i “p? dk 1x-aSore ite |x-@ 2a [r+a) 298 OYDOI VAP? PRACD TWNNA, PHMNIWDVD "MyIDRHAWN MDINd YD a | _—Vi6x? +25 i 2y Us4r i dU=4dx 1 dU 1 1 ry. =fe=snl+OP)+0=Ain(ax+S16"+25)+0 : i4JVie+s 4 4 / a [——-IV3x7 44x45 smonayrnna ¥339> | ;_de a=¥3(—S— =3/—=—— -Veena J3x+2)?+11V iU=3x4+2 i dU=3c 79 { . RP'TS? TPO yan anu ‘sr9 v3- dU 3 I)Sa eee +Hi}+e= ; Bol r 3 Iox®x120151 =Bin(sr+2+\Gr=2) +11)+e="Fn(Gx+2)+ Vor¥12r+15) +e :3 3 |Jf -2j—*— -2j—*_-2x?45x-10“44x?410x-2 (or+54) 2-2 « 7/2) 4 ] oR{8) 3 de dU 12Uo i-[——3*lotnasis Qx+54)-> 74 \u+2); i U=2x4+ 3% dl=2dr =pa242933)... 1fae5-53) i V3 2483)" 83 ax-5453) 2DYTIIONANYYPNWYDTTVIN9.7i Jsinhxde=coshx+e iJooshxd=sinhx+0 fsech?xde =rgher+e i Jesch?xdx =-cothx+e _ Sighs=[Toe=[dU=In(coshx)+ icoshx=U sinhxd=dU r]Joothxde=In(sinhx)+e emNmayt | Joosh(2x\dr= fox=U2dx=dU,=+feoshUaU =4sinh2x +0 a, 2 2 il fet +e) 1 *coshxd=fe*|22de=1f(e24jar= fetcosnade=fer(Sae=1f+tc @' Us2x | aU=2dradferaeetfaeetforaystaceter yh : sfdesJe=sfe d+=sentetsve a ee i L | wars? ANN van anz@ ’s113 | poysawaN mw.10 Juni nbte OTWORO DMN ANAAY AYA NOW +OTD HOI IDA MPOY AID i -OPD210 OTD NNN Ww! IY OTA STII MW 190 V2)i .DYpdN199MWAA_INA TOWNNAYNV2 3 EDph 999 H°8909N 10.1 b sO?yDWind i d dU(x) a(x)[ur] =2H(x)+Uy) j J(u") =F212)+U0)28 i 2dap)oraNnWNdr-299991ON QU-V]=dU-V+U-av iUa =d(U-¥)-VaU rf =Dap)D’9BN7"BYIYTPATAOINTVSON fuav=fau-v)- frau bE |Juavsu-v -fvau (10.1)rf -2NOSIINTINISTAWSTWwINTD>poN 8dTYTADINA MAN ANID? AND i STAND? vIn’?ANTAND i Jretde= i vm !dU =de | Usxf dV=e'de rt Vs[etd=e" :h axe! ~[etde=ae"-e"+0 r KknapaTHYpxpd)vamyAV=ef+kDWONOWAAA F NIPN ONF790 | TNRHPNWWDPMIDTWINANNPI99wTPYIIDINA WWI(40.1)ANNAWENWADMDdy| (orpona MsTaVIN OVADAM). dV-2deOYINT U2yO? 4 jUdV-n7nyJa100WDRPJ¥dU(x) eo I WxPrs? apoOM 17an anzw ‘sme - JrowsPANwINDyw)dV(2) | ENB ; a | Jecxcos2xSDM)ODIN.TIDH7aIANYANYADTYDOWAN i aV =cos2xde . ORi vedsin2x 2de=dU i 2939) i leLl 1 Jeorcos2x=—rsin2x-—rsin2x +—cos2x +c 2 2 4i 2OPIN TDN dV=xd fiU=cos2x aU=-2sin2xde itN r ls rm |dexcos2x==x"cos2x+|x?sin2xdv+e | Anyyawnwnfx?sin2xdeSapam i@ Jxinxde ,[vel] i SAND OK dV=x*dx i U=inx xe yera i" »_iaU=de r]x a2 | i Deeprs?apron panm7ss wt wtywt . i fxinxde=2tne[2Dae=2tnEHfete= wel wel pel u yet eet i =eine-—Lete225|inx-—L) +eutl (u+}) wah ue) i 2ap)w=0Ty? OW r}|finxdr=xinx-x+eiin eB 1 il farctgxde =x-arcige —[xpe*= ¥ I oe) 3 gates? } dé=2xde k Lag 1i=x-arcige~>[=x-arcige-SIn(1+ 3°)+e 22 : {pm9axWwON2B Merges pL crtOTe tier @ 5 T=Jecosbxds = t sana ox aV =cosbxde Use“ VvLb=Hsin ‘sins dU =~ae"*de g 2939) > 1a Tcesinbx+4{sinbxe"™de6 3 i sinBxTONcosbxOYPNIWIIIYWATHNAND29dvANTATTN fsND ANP ADP ANT PUA ON TN = pon 9PUD) I es | DRT Ss?APN Yy7anan7w‘sns sinbred =—Le-* cosbe~2fcosbxe™*e 6 6 | 277) OR | dV=sinbude Use™ 1 ¥=—Loosbr é dU =~ae* DIDpWD Tetesinbx-See cosbr2fcosbre“*de | a) e e oJ2TW WINNT VIN I3N 1 a @ 1=Lensinbx-Le" cosbx-2) po"sinbe—Secosbe— | LTmy amine bia Son) Jaay ANNwe NIN WDD (a)‘ a) etl a14-5)=*—{sinox-2 ox) (+Ge}l=(sind cosbx | ofsinbx-7cosbr} | Te aah s| Jretden ate enfxetde ve Ux" } dV =e"de dU=mde ) Ve-e* fear awen.0-5 nmnxO-PrIDYTYO»DIN%9bANIDO'WWHDAOONTTNA l SDPO DITTWINT HTN NAWIVVIN PYNIVY NOW) ANY Wy) “ 1 eps? AP"ONT aananaw‘sng stor NIT _DPFTIVIN 10.2 DIN DYEID 4-2 TD. DUAN D1I0IN NK fsin™xcos”xde sw FANN) WAPN =n APD, APA NPNAVE MIND sin” xcos" x=sin” xcos™! xcosx min?Tainsin™xcos™" xppdcos*x=(1—sin? x)SwAPM aNd?27In-ATAL PeDY son 2 yoru,sin™xcosx{1— sin?x) pwdvmpIN yap)OUD SINT AWN?YsPIT,sineDVRWSM|TA NIAWcosxd-29210 -sin” x-2D72190 IMRONPN-m_VH EmNnntt 'a iJsin®xcos*ude=Jsin?xcos'xesoxde=fsin?x(1—sin?x)’cosxae= i=Jin?x(1-2sin? x+sin* x)cosxde =[sin?xcosxdx—2[sin* xcosxde +[sin®rcosxde :203) ON i sinx=U cos xdr =dU =furav-2[udu+futau= i UiUeU? sin’essin'xsin’ a2eesEi ree : 30° ST 30° Ss 7 i Qa Jasin?xcos'}xa= i yayNONAINADOAPO . 25) . 2 uw).afain?vesidhsinxd=J(000s?x)cosxsinxe=J(cosx~cos"x}sinxe sD 3} ON DRprs? npvenn yan anu ‘sma Joot™xesc"xdeww[ig"xseo" xdemmUnD NINOOOIN IYWYNO EVITA MN OMA TINS? sec?x=]+tg?x esc? x=1+cot? x oneapn 1902 7-wRTL «n=0 -1729N OF 90D mW.2 JOPN DMR N= MWS emmweaT (1) feg?xde =Jtgxiguds =[(sec*x-1)tgxete =[sec?xtgnd—[tgede=2.In(cosx)+c wr=U sec? xd=dU 2)foot*xate=fcot?xcot?xdv=foot?x(esc*x-l)dx=feat”xesc?xde=foot?xd= ahoo?eflese? ly=cyoot x=f(csc?x-I}ee=a3000rteotr+x+e <1pnd ant AN 2APB AYN NDT Z (3)fig’xsec* xade=fag’xsec?xsec?rde=[tg'x(1-+1g"x)sec? xcke= r, tg*xgS =[(tg’x+tg*x)sec? xd=B*4B* J(tg’x +1") rar :.3™mpnd pont (4) fag?xsec’xa=[ig*xsec* rsecxigedr =|(sec?x-1)sec*xsec.xigrde = : =|(sec*x-see*x)secxtguae SDM ON secx =U a7 peyrs? aonno roan ngpw ‘28 4 7 cx sec’ x Ps=f(U*-u*)au aRX_OX7 5 | DvININNAY APONIND AYypIDSYMdSIPIVONDNINOVINEIYYANG7 a on OPN fsinmxsinmeds a {cosmx sinmd a Joosmxcosnxax DIU) Mb9I0 DIO! OMwpI ENYA 990 MEMAPHI 1 sinxsiny =leo-y)-cos(x+y)] 1 . cosxcosy=sles-y)-cos(x +y)] ) . sinxcosy =asine-»)+sin@x +y)] ssn 1(1) fsin3xsin2xae =Jyleossx ~2x)~cos(3x+2x)fdr= _ 1 1 1=<|(cosx~cos5x}dr =—sinx-sin5x+e - 2 2 10 1 1 1 (2)Joos4xcos2xdk==f(cos2x+cos6x}ar=sin2x+qpsindx+e : =mywNwV MayN 10.3 *: pypna AMUPYIwW YPN dvMasn !YNOW) ATYA anny DD Odo AIAFONDDDDINITAVITA NADY.MBOX MVD —; a : xs53nd 2a?~57x?930wT ON a 222 x=21g 239a?+5%x? monuo ON a 242 2 x=[seeO 29b?x?—a?vonSrapiKn ON 8B > B i Darrs? ape: yaanmw‘sns i] uilad aum(2 i[yee eex+a* i -ARSWON AWAYMODYNNANYARTYAPY ALOAwapTadAWB sap x=a-ig@, dx=a-sec?@d@ »y.b=1 wowmpn2 i 1 1 1{= -J—— «=f sec?040=Vx +a ya?-ig?0+a* a-yig?0+1 2 i std=|——d6 =|secO.d@ =Iin(sec@+tg@)+c [epvee! (sec+69) i PANINI WWNAN.x-777NDOPPNYNDWA13?XYMYSDAQNOIDAIDWINAODN i vOWHMBNAx=alyOTWEAKNOD vx +at x i @ Vetaa?a sec9=7="gg=*\ 10.196, a a po i In(secO+1g8)=In(x+Vx?+a")~Ina : yo RA MAYA NBS NPNI’ ONY OTIPA NAVA WIDdY ODI AWYRD AA | a eeVeta 7va?=x Fea? 2? : a | 1 1 1psec?x .Soe lee" xe=[ce =i (fsa') a(g?x=1)" a?seo?x L 1 sind==feosrde=Fsex a @ a yaxnL x=a-tg6 a de=asec?9d6 it » DRrrs? Tpeon pan now “S71 =—e=tc vx?+a2 x a’yx? +a? A " ' F27WINTDWWw(3 j—#. x |— Tea? xP—a?y vie 5 i 2s x=asec@ ide=asec61g040 apsecOtanode 1} 1 i=] =3]dOcot?6=~| d0(csc?@-1)= a aerry) gr9cote=55fae(exe%6-1) g x 1 1 1 a 1 a=500-5 8+0=~ arcs +e d ia a @Jeig a x T —Teast i !99nNayNaSDNMV?29Ow i TINA NN AVN (4 ; acos0d@ iaeaaily =|————=|d@=@+c pcerrree i maya wey , x=asind de=acos@dd i yaya woNAMw?29Ow i * i ' eo romamous sawn(Ss i x Lp, 2e-141 1 de-1 1pa eteEToofeSO +ete =ifeyltGapalteelGy i(e?-x+I)=U0(ex-1)de= aU led 1 1 14 1 1ely typ e-tysfe I =e aly Doan 2?2 1.3)Posy ea] ia 4 4/7 4 “DM ON I rebey t r= 2Pyya! 2:ODYNDIWIN I yaane jy=igo !|yay=Pisce?040 a i;oe Fa yea? 2 " secoLtz 2 r=+h ee a: | & |©"Oe-xe1)2ey)“Weir 9FO |[cos980=1)¢-reos26pi0= Lont.Lsin20 =baretyZ+3sindoosd Isap"no | Py 12secOtgOdd 1psecO, 1 1 ——-/[/a.- =—fescade=— cot)+e= i Jasz-J a8 atgot?3Jesc@do=In(seed—cor)+ > Lilx2}Icoe vx-2to? =In|a-|=snFS=Stn =tn+ | 2°Ve—4 Vetng) 2tag 2Veed 452 i :DPINATPSWVINNATPINMWYNOWANYND osi4 (x=2\(x-2) and) f 22ND) rw | 1~4 28 ig (x=2)(x+2) "x2" x42 i — DapB-)ATWND <P) STW YO B-1 ANN VN PDN) ON, MAYA? ONT PIT i soapn(x=2)(x+2)-2saNMWwAXP82 L 1=A(x-2)+ B(x-2)=x(A=B)+2(4-B) i DWOPNTPN92ONPV)ONDWOPNIYI19YYTITANMW?OMII19OrY9OAINT722| pr |1 t 2%A-B)+1,A~Be> rfA+B=0 24=t =act \ 2 4 i peat :4 i noma —jt addd eednrn2) | (e=2)(e+2) 04(e=2) 4xr204(x-20e+2) (e242) i samy Llp @ ip e& 1 1 1, x-2 be=—ff =n(x-2)-<in(x+2)=In+ iJxta4rae alin ain>gine»4x2 soon Maw? JNA 9933 BrYPoNA EPIAWA AVY NIT 93 4 iI>eetfe-tpte-tie- (r= 2H2M4) 522x-20 32%eT BP+4 1 1 11 x 1, x-2 1 x =<In(x-2)In(x+2)-—- arcig~ +¢=—In=—=~—areig~ +e i 3gneA)spine+2)ggarele32ge1682 i SDPDPA DON OMA7199790ONY29OW t a—_!_ 4, i(a,x +b,a,x+b,)... (@jx+b,) (qxrb,) i smwoydapINewnAM7predwaNww——— yronnONf (a,x? +5,) i ETNATTDprsONdr99wTBDWYATA { send foe x-2etx ix(x=1) 5 a!4,8 co i x(x-IP xx-1(x-1)? | =A(x-1)* +Br(x=1) +Cx C=l©x=l l=x7(A+B)+x(-24-B+C)+A iA=l © x=0;,x=2 Azl | 1=A+2B+2C {} B=-A=-1 i 1=1+2B+2 | -24-B+C=0 , | aw999DDD A yapAqwr[9S msn ponorang manawana ax+b rary O29 ars JawndPaw idvO10 OND MdyMS9 MypND DYMINA DMA A_WOWA ax+b MRO 9992 iAyne o»pdn OMI 7 95 4 \ DRPTs? ApreNND yan an7w °3799 A4, A, |to ax+b (ax+b) (ax+b)" spayypNGSyMINIANNoYHOWNAax?+bytePYIDNOM IDd.3 iAx+B _paundwyDEPB-1Awe —=" anyne ponawONDar sbrtc sHSIPSTTPNOYTIDNIOVOYDNWOT ax*+bx+¢PDNNITOW 999.4 i MAN AYP MDM dyOT ONAD Ax+B, Ax+B, |Ax+B, iatdbr+c (ar+br+cy (a+br+cy" 999MPHYNNT i —— A, Be Gea(?-4)'(+4)"x-20(x-2)) x42(x+2)? (x7+4)(x?+4)? i smNnayt i a 2pate i 18ex sA9DAANAPNDJ2d1MoMAAMAANNANT i 144a ee x+8 x+8 i 2 r 2+40 68)pitta f{e-s+ de=~~~8x+68In(x+8)+1x87\ x8) 2 i a@i ie+200 x-16 bspon por maNd mY AMAT 36 1 97=fide+[oe =x2fae-2[ex i 1 F216 2ix-40 Qixe4 96 ,Dor?apeoM brananasia xP=160(x-4)(x+4) x-4x44 |1=A(x+4)+B(x-4) 1=x(4+8)+4(4-B) 4(4-B)=1 | 9,x4A+B=0 arto 4-24=1 | e1 4ey Soy p--t |3 i ig 3 x+2 I. ——* F @NGF) Ley x+200 AB Cet |EtF [:(x?=1)(e?+1)“y-1 x4] esl (aly ls -ANSINA ANOVAWF,E,D,C,B, AMNION ANDw LL 1 LE 1 : Aln(s=1)+Bin(x+1)+>Cin(x? +1)+Daretge+55+Ffdee i dapn swMMIND AAA Now >x=19 Wy? u Vx?+1=secO (x?+1)’=sec*9 vr+a x a” de=sec?848 d a1sec?940 1 nqJerre Feet=FoageJ~cosaqie= . = s9ap2 "0 1997 — AIn(x~1)+Bin(x+1)+£in(x? +1 Ei Sor =e =1)+Bin(x+1)+=In(x? +1)+Grier ayr=Alle)+Bln(x+1)+Flas?+1) g - FE regeet‘ Dearcige +55 +prete to te { x42 =A(x+Ix?+1)?+B(x—1x?+1)?+(Cx+Dx?=I(x?+1)+(Ex+PY?-2) Ny | wraps? nprenma oanmop‘srg i i« } 2xt1! Spore | DUTW voND. *wND WW “PAN wPION bYNN TNIWHd ,MIDNA NNONY DDN PID wane x= 1oN x= 1TOY WINDY MNWWDT | P-7:14+6=0 2ynDIANNNY)X?=7x+6-2OW x-]pH i] 7x46 =(xI(x?+x—-6)=(x-Ix-2x+3) i tl ABe i (e-1)(e-20243) x-1x-2x53 | +2x41=A(x2Xx+3)+BoxI(x+3)+C(e-1N(x-2) 2x+1=x7(A+B+C)+x(A+2B-3C)+(-64 -3B+2C) A+B+C=0 A+2B-3C=2 ~6A-3B+2C=1 synen 3 Az-2 t | Bz=l ic=-1 4 x=l ANNwNIDy)APNT | 3 3=AQ-2)0+) ;-2=A4 -2)04) 3-3 i xs2 55=B(2-1\(2+3) Bel, x=3 ] 2(-3)+1 =¢(-3- 1-3 -2) : ~5=20C;-t=c i fp Bpaefiefee i x-7x46 4?x-1 x-2 4ex+3 3 1== In(x=1) +In(x~2)-+ +Giate1)+In(x~2)gine+3)© j 98 i i mars? ayo: 7720 an7w “snes (77299N)_ MWMash10.5 ,2YAEPNNN PINdvrasn (a+br)* ra+bxDwnV MpIN OA WOW 1 WON MypNA dyMOS MN TiN 2"=athe :mxnart | aj—“-(2+3x)? 2=243r | 3z%ds=3aDabsdr I 2?=(2+3x)%2-2 xslt i 3rela oy x?==(z5 -2)9° ) xide 1e(?-2)? ,i 2Lyee fr =<|(=?-2)de==f(2-22?+e= Sel Lf(et-2fae=2I( his zs’2stgz (243x)3 1 «4 ¥ etS$(24 3x)94= 4 Fo ette r= ia?3x) 9(2+32) +c a lee44Jas5x spy s=445x 2eds=Sdede=2ade5 a 2pzd: _2pr44-4, 2 4) aa =2(aL fae ==ff1-—a= 5 See slic: 5] sityea) 2.8 2 48=2—Zin(z +4)+e=H(4 +Sx)?~=Ia(Va45x+4)+0 55 5 5 a+bx" Yay =uapIN DYADNAD Man: a+bx" SwnM MPN NA VOM .2 “WYN PND DYTwwINT WIR sno (x?-a?)’?fex fi 99 warrs? WwaND V7ia now ‘SNS 2yNo?yr? x=asecO ewes . dx=asecO1g0d0 (2-0?) <a'g’o a 3493,aig@-asecOig0dd yr, Mfectaes wigasec19098_Osada= = Jeb afg'8d0=a°|tg"g*8d0 =a?JgAsec? @-1)d@= a"J1g70sec@d8-a" |ig?@dd= =a?tg*@sec? @d0-a’|(sec?6-1}40= | ) i 3 >(42a2)’ange-aigora°erc= eee)3 3a |glxt-a oyyx?-a? waPO, arcig2=F46 a @ +:TPIBDNTOyNTOW99ANYNAD | [2s wages j wennwonnnWy 2nd=Ded: i ywoD ads adeyorPea i : : (na)? (e)%ad tae oN / a > : i =f[ 2-0?+|e=2attatarcigisc I aera 3° aa xoa 1i“ x?=a’ 3 a a : 2TNNNNNTSMNIDVTwAPNGOM2?PINaNAYNYYAWWIVON i JxV2exvde= i t00 j ' ih i z=2+x?(Bade=3x7de ~ 2 ixide=x1x'de=(2"-2)>-2de 2 : 2 22° 42° 2 “4 % =< [z-(2? -2)ade==f(e"-227)===ee=(240)? a+)Poe igle(e*2a=5[let28)=55-55+e=522")*-52+») ANA TANYA WYTDYR NW 90D TYwNWYDd MYTOMR MWA PTAPIaA NNT OD? YPYNPAN NNPWN !INYI IqavNw MayAM Mwwn 59NNYA YY? NITN-MAWN i nyDYNIANAWAAMWNMDAYd7.STNN MNvPIANN.OMIVYN awNy -NS0V 0977 NIP -TN9DW MNT PS) WYDOPNA Mow NNOI) AP -DYIOMSN NYYPN MYSDNA WN OM) OYNY HII NINNINT WON yd 299 2 ix ifeta; FE; f8B ae;jaeInk’? x x i DUNN .OAdY TWA DRY NYY NOP NdANID ,.INI OND PRINS HSDVINi <Tunna TAA199NPI MVWI-999TT2ADNIHSTAVIN i 20129010.6hs =DDDDYTOIN AN i [Sosned xd agfran i (Inxtnn=" ,at\ Jsinxdr=~cosx+e Jatae= +e i Joosauée=sinx+c Jetar=et +e; éJigede=In(secx)+e Jaesint ae va?=x? @ Jootxdr =In(esex)+e de}xfate=dercigtee fsecxdr =In(igx+seex)+c aera aJa& 1x =~cotx) +a =aresec* +e Josexde=Infesex—cotx)+e Weed?aa 2ydbe=tgx+ ae => : Jsec*xax=tex+0 Sere [4a)+0+a Jose?xdx=-cotr+e Jee mrVF~a)+eJsech?xde =ighr+c vx=a? &1,x-a Josch?xdx =-cothx+c fJoteesintee x’-@2ay+a aJighede=In(coshx)+e Jsinhxd=cosh+e i Joothxd=In(sinhx)+e Jooshxd=sinhx+e i |warps? aennn yoan m7w “3113 21 { sin?x=+(1~cos2x) 21 | cos?x==(I+cos2x) 1. Isinxcosx =37a2x 3 I Jsinmesinrede iJoosmesinedeJeosmecosnsde i .N1D07MIaDNA D910 i enemy maya. reFindppyna?—67x?eaDawaWw.L iws538oyea?+6?x?oaTawra WwNd.2 i weSecompypbx?~a?oaDeaWN3 a (ax+6Xa,x+b,) ax+b, ax+b, 2 i 1 AB,By B,——__1___._4_,_4_,_ 4, 5A :; (a,x+b,)"(ajx+b,) ax+b,a,x+, (a,x+5,)? (ax+b.) a 7 1 A Ay+Axr (@brsarb) ax+d aesbr+e a tA Br RG BG f (aesbrse)"(ax+h) arth, aisbrse (art+br+c)) |(at+br+c)" E ! 1 marr? Ap"8OND Vaan Anz ‘ss a Jx°arcigedr = | sDoponavonwTdNT U=areige 1 eae | aard vex t6 | :0ov ANON. wane? PUD fuav=u-v-[vau | xt 1_x*artesoerorstal | -AyDNANTMD)AWANIT:NIwow)ANY | x fai 1 xox=ffxtex? e1-—lor=2sxarcige+ Ien* foto» testy) poyterareigese i sap" . ‘ xf (ert ) iSarcigxdr =~ -+{2-2+x-arcy fr*arciguds 7Meigen tearelge|+e i Q 1 dU . 1 1 ar=[= fd =-U+0=-——+ Salon d eine * i Inx=U idae=av : x GB i ae 1 1 ABr+C_f Ione pa. tad | + Beal FG =x41) (esl) =3+) 104 E re i7 wars? Ayennn Yvan Anzu “3179 1=A(x?—x+1)+(Br+Cix+l) 1=x°(A+B)+x(-A+B+C)+A+C A+B=0 -A+B+C=0 A+C=1 =>-A=B; -2A4+C=0; A+C#1 Aztos=-tacs2 3 3 3 ~VYr4% a pl BxtH 1 1p2x-1+1-4de |A==far +(SS yj-— (= - Ianslyeiadcreergine)zalxax+l a 11 lp . =Glae+I)ein(x?-x+1)+faa = 2 ! pa VCapay Be 2, “4 PaOca) ot“6 oxel 8 “a aede a (x¥-2x+4)? [(e-ayh+3]* “fy+3]?sf tyatee ydy=V3sec?040 Vy?+3=V3sec0 3B v+3)"=3y3sec?@ tay+3 : dy _;3sec?9d0_1 sind y x-lf= [cosa=Oe+e=Hh $e=—*—_+e praaviawea“Toma SseBste is «x?+2 Ande= z rssrery | ways? moon yan mw ‘S119 | Joe 44| (x+1P(x-2) xs(e+)? (x¥1)? x-2 x?+25 A(x+1)(e-2)+Bort Ix-2)+ C(x~2)+Dx+l)? x?42=2x°(4+D)+x?(-24+24+5+3D)+x(-34-B+C+3D)-24-2B-2C+D A+D=0; B+3D=1; 3A-B+C+3D=0 2A-28-2C+D=0=2D=Z=3C=-1 ‘ =A--p--258=1-3p=1-8=1 9 93 | x?+2 271 1 1 1 2r_1 te2Sfte +fte ~fe +2fee= lees stra sliesy Soy otes j =-2inesy-tosrt ele yZine -2)+e"9 3 2atomes j 106 i | meprs?npeonno TanAnw‘ss i (Definite integral) _.p»»vonnds02Nn.11 | aynnii2— f somosnow”NIpIN_-F(b)— Fla)=|f(x\deovANWVIDF(x)=[f(z)deop a @yaf(x)->nananownNinOMONADwIAMynYDb>a-1f(x)>0wrovMD» | as<xsb mnaminn f(x)MypN9AND.pNNNDANIP)@,WoyoTANID bd.d-1 r xANP @ANP AMDY> NNNN Nowa NNNNVADA PANE NNA(x) -2OD | iN2179993MAWMP¥PNOWAf(x)T¥PNEA ON i vt sanwn f fFoea pinnesen 'f(x):Ax<A(x+Ax)~A(x)$f(x+dx):der ' =a JPN INNN Nowa :nyawn - H — ae dyn aonn nown yop, A(x+Ax)—A(x)a (=)r ay xt -f(x)-Ax yoon ponanown sym f(x+Ax): Ax x aa1we :ap) Ax-2pon) ON AA (x)$—<f(x+Ax PySte)rvBie ) 2p) Ax>0Wr 27227 NNNP? ON dA : =se) | AQ)=|fone =F(x)+e a Ala)=F(a)+c=0-3c=-F(a) .E A(b)=F(b)+c=F(b)~F(a) | A(x)vendo.f(x)AMAPSDNONIN,x-ba-1¥DNEDNNNDNew,A(x)ND Fs A(x)=Jfenae+c,f(x)unoND a JeNARS MIMETMApEALANA(x.)=JF(x)dxl, ,,+eMYYM?x,*RVDZTMPI TYNoUT a C=-[f(x)de|_, yomA(a)=0pe 107 Drayrs? meron ran anzw ‘srs and b-9apanown nx3wN? ONY YNON Alb)=[fais] -f/x, 1OWS TAT Yon wan NNOND A(b)=[faide=ffds,,-Ji, 2Nan pws OWENYD ‘ . Jf@de=F(x)=F(b)-F(a) (x) AMDW MypPND tAF(x) WD Ax)=F(x)~Fla)=fflx)ae | YI 99903NA 11.2 :nxanmyab-9apaf(x)YPN?NNNNowANX3ndWNWPY?A | * i DG)ax, i “yt i a vm wnt OMYOPIN n-da—bNMA ’pyND WD u2zwn=Xo-b i WAx,90np)ONTNportNTTAr=—— -DNTA NOW 71p) ,7>2 w1> lim>f(x,)dx,=(0) il, :mam ps tim3°f(x))dx,=Jf(x) i mer 2 -7RWN? DANA Dv0190 paMvp NANvD SyyANA DDD YAN IWNAN PY avn HNO IDA Daw WN YdMwEND O21 ANDYa | 08 a | ors arene ranma srs | 21909DNAmynWAd ANIT sO”0DA PTOI Iw | face2)252 2, 2 | asiyornamwOPINn>OSx<5MMAANPyN.O-DOA NAHYNATAODn : DONNA DYPID AYP NIN XX...) X,0. TITIAN IND i wnx x,=ar i t x,=2dr |H x,=3Ar itit x,=nAr 4%5* i 11.3 YN 5 convo Ar,=Ars— n ¢. é n(n+1)(5)?_25( 1 fS,3DS(x,dx,=Dk:dvdax=(1+243+.+n)(Ax)?=e+0/3) =31.2) a = 2 \W ~20"n i 25 limS,===|xd i nnd)NINADwNAYAYPNVADx,NXINDON i x,=0x,=Arx,=2Ar...x,=(n-1)Ar dap) a n(n=1)(S)* _25!) S,=(k=WAr-Ae=(1+2+3+..4@0-I)Ar)? =}=]=Sh1-- i S.=Z&-) (142434.61 IAs) (3) 84 25 , JimS, == smennamN oapm ANSI ANN 099390 1>«©WAI OWI i M°370IN pI11.3 } pun OPIN AND AY AND |a i ffede =0 | :nnoin $ 2 | ffedde=[fa] -ffondd =0 a 109 . paps? npvennn pean nyu ‘sre fra Jfede=|f(x)de+|s(x)de | sana : , } [snae+ |sone=Jpends,-Jfdet, +[/dael_, -[renee = 1. . ny | Jreoad,, -Jrae, =[eae 7.0.0 | <onvyn nynan yD)or | a ampain? MND9D | , . Jf@)ae =~fede . . a :TMyNN ype V2WwON:TAIWN myn 1uN |(| Ji@a<0 | 3aol I Nd , 6 Jfx)de>0 j 11.6 9N Sra0aNTawndS yHwAOINA”yYPINNIpYYMANDKYBNYANd. | [reode= [slates ffod j mnainwdowANSIJS(xdeMONTPYxPSYADIPYNPavNOWNNprXP I It recyad ; iHTSes)pornprswuPAANoUAawNd *79pdr.|f(x)de-aPNAPwONAD enpun awnp39ff(x)de Swan awnpaTan? awn.[f(x) -> . HOUT2WNNITIVINAJWwTmynmonn i 0i i i ENT 11.4 a Jw Aw, : 2t Ay 1 15ede===(16-I)=—= J 41,4 4 wee-Lx=2 pax pyyaysxpapanovaawn wwtyn ° '2} 11 7feast =0-—s-= .4 4ty 464 | 2 ap[1sfea==t =40=4 ||4) 4 =)bef ° la Joya 7 2x SeJrdqsfed=teg-2 |howls 44 || 11.5 YN -xea-1x=0 paf(x)=sinx amped nnn nown MNNED (2 3 .DOND MYINIITININ OSxSz OWA WY.sinx PYIPAPN WAN ANN por F Jdesin.x =~cosx{f=~cosa-(~cos0) =1+1=2 2 JOON ANN Jsinxa=~cosx\3° =-cos2z~(—cos0) =-1+1=0 LPOMPD MNYUN 2+2=4 MP NOWN ON faesinx =2 a Jsinxdr =~cos{ =-cos2x ~(-cosa) =~cos2x+cosa=-1+(-1)=-2 4m Nowa wv p> ayn Pan Taw. «@-90pa y=e* AMpY’ NAND NownawN (3 py mm wears? apyennn Yan An?w ‘sis v1 :KO S=fetde=-e[7= |se"+e=] _|>. i | x| DWM. NINARANNowA«Ty.xPSANOVSNDMyPNETY AMIDNWAANSIMNT | 7AxWWND DOND TANAN Ee"-wWIN 1 epdyneoOPf(s)=7nowy MnnovaNaD(6+x j spo ]7 y } , 1 ~_ z&——=arcigy|>=2-9== Jl+x?et,22 | | af x | i tgx\”=arctgso~arcig)==-0=~—=arcigx|”=arcigeo—=7-o=7 | ier I,=aretgre~ arcig)=4 } =dei Jyer mrvMoA 93 j alee | minwy noon7 11.5{ SXVTTNSvwYADDA .TANWAN9sAAWITMawINA 2OFADPD AYTay | i JWND 72MAIN PYAD OMIOD NDTWIN YA? INYINA TMNwHY ONRAB MI | OXDIT DYANYODWwAAT AyNWEY OMMIN 7J— =F@)-Ft-a)Zo(a*+x*)? | 2D10N NIA IWWINN AWN dé[“ae rn \ j(@+x")? 1 y eoaig0 | : 2 a ad=asec* 940 24yryie | (a?+x?)*=asecd leVeca2 3. s:(+x)? =a°sec’ | nz | i wpa? pon Tran ma7y ‘a9 asec’@d9 1p in : =/———-—> ==](1-cos* = | Joerg 7gecoe8d==|(1-cost#ycos.da ‘ | 1ingsin’8ifx1x)=ysing- pn 2ps4)—X-1_* _]]= aa3 @Vara 3(ate) i aif tia) ifna1). atia3a) aBaa32a i ef=5)-4{ ayt=tS SAR oa) aR 6Va) a i AMAIA TTAANDADsw OMAN 6Onn pA Pr x=algé AaynA PxsaMyr=-a,x=4 iasaigd 1g =1 i ont4 -a=atg i “1240 o=-% i4 f 2p? 2 % f a3a i feed feos’odo{sing 08)-I leah Fs} a es, H la omy \f in(—2/if.z_sin’?4) 1]x)sia’(-4)) =Asin-4)-|sin-2)4 -a4 3) aN 4) 3) =f) 4/44 5a2 62) a\ i262)" a2 . 1apwpMyynna NovayTWwH|f(x,yeeOIOVAD THOM ysOdPPTHONY? DINxDyTADIND Y¥ADyx),yOYAD¥AdBIwyMIwINA y9A7NDdy.y=p(x) MgaMw?wody-)_yMyyNNAOMOWANde-1xBIPNADyAYANYdpOPN? ,oxnna ns avs? nproonn roan mw ‘ans EmMNBBT fra ent. awxo | woylea? yext-a py) yapn a f(tade = yert-ad : tote Eate)=209 | Jota atx)=Be t > L 4 3 2a)J~ASS orp Dude=2ydy poPVA TIT@yay fany Jan ow MN sawn (2 | foe i nwo { x=cos2y -xMISHRA yTWNd yd 2y=arccosx I1 y=harecosx ly i =>[arecos xdx Dy) i usarccosx , v=x du=-2 5dvedjus; du=dxVi-x? i 1 1 Lp _xde=Jarccosxdx =~xarceosx+=[===zi 2 zivinx j l-xP=eu =2x=du | lpdu x -LfHewisc278 i 18 " 5 j j maps? ayvonnn V7an anzw “s9 1 Waaecd i=Farccosx —>I-x*+c 1} 1 fay i1 i 3|cosade=5|rarceoss-Vi-zJj=qltarecosi—0]-5 [0-1]=> i” x=cos2y ;dx=-2sin2ydy i 02,072: z =x=0-cos2y=0>2y== y="cos2y YaTOVRG i x=1->cos2y=1> 2y=0+y=0 i Jode=fp(-2sin2y)dy =-2fysin2yay i uzy ;dv=sin2ydy 1 ildu=dy |v=-pcos2y r t fa pie 1 Poo Logit ti~2ysin2yy=2p¥60s2y|,~Jcosaydy=0-psin2y}, =—Zsind+5sing=> ' a fae-xe 3 | o>ynTwND3¥Nd if wax", dvee%dr i * Py * Py fedesxret ==xe?+nfdeee* =0+nfdex™e* =n(n—I){dere" = 4 =n(n—1(n=2)..1face=n-(—e°*)*=nt(0-(-1))=n! ° 1 15 waprs? apron Pan noe ‘srs SDNNDD HSWOIN SY Hw 12 Denvw 12.1 | y{ poette|4 <nMnpsFaMANWADNNED.1 : yext-2x |y=6x-x7 : yr6x-x* MAGA NMP MIAN) Mya : 246 x | | 12.1 0N x?-2r=6r-x7 | 2x? -8x =0 x)=0x,=4 jy=0 y,=8 smaArpopann i 6x=x?=(x?=2x)=8x-2x7 sinewpr? i (8x-237)ar 2D wpunn nvwm ; 2.) 12864 i alee (ay? 2 --={4x?-=2} =64-— == flex2x"de=|4x7) 4 ES 993137ND)12.2 ‘| ” |7|\ i| 1A i] \ yevanpona0» ISMNADANNRSDii ;| swomy?=8xnbononpardon eran i aE 7 t TYDN MWY AVUAPIND.x PYDID x=2 Nii | {* xPSVIV pANRODL’ i \ } AxanyOPTnovaPPOMyD| \ \i | azzaws 116 i i j Weary ax j 2A*S9aNNaIPd2 2 2 Vxfav=|ry'de=x[8xde=40x°f =160 i rn) > i+4 eaten|= aay AvwTAMDryJyVANAIANNNID.2 | | wmy?=8xAda»ySanDA i -x=2-wna r=2 | x mranwDye .nYp|IN NWI NoVA PIN ii} | AWNPOTMYx=2DavwonAN| | 12.3." nine Ayam 2-x non onanne fayDIONIAIUOA gMNe).7(2—x)?Ay i 1 wmys+4Dyy=-4papper 4 4 ‘ 2YeLiyeay=20f(2-2lay=258 i ¥=|x(2-x)'dy=20f(2-2)*dy=20f( 2-7)Serad pepo 12.3, i y MawDNVdvPHN?vININ3 i Avwnn99ndwOrD02IIDWd i agen 9opm L yasne oma) xP39UNA OVMINA NNNAD y=4-—x?sennnnowndvypy i Ay xAy pynn new Ww ya F xPAxoMD ATNY dyPERNA vIMDA p | y yeyxn | | 2nweADyINA4 ° > M,=|yxdy=[(4~x")x(-2xdk) = 12.4-Nx° 2 2 7 s\7 3140x 128 =-2{(4x?-x*\de=of42=)= f(yeV35/,15 yvy) ony 22 2 M,= =| (4-x*}é&e=4x- =Poteet816 =8-s2—5303 ,7 warns? neon van nove ‘sns | NUD TWN 12.4 | x=b-vx=a yay=f(x)mypno dueptoNawmD y ds?=dedy? as ds=Jaeodyay& : : sefds=fch(®| s~farefyiZ)ae ' 2 box i 12.5 99N wp TO. ANY AN | x25 x=0-p y=2x"? nmpyndunupnNaNayasnp | ||: |: ! | 5. { 12.6 WN %_3,% |de2 Taw, tfso is=fyi-Gx ‘)de>[ytjae= 24,9) _s{vasy_] 1 ==-S{142x} |=A/(2) "1.39744 iaa) " =3/281]. i 27,8 J27 i ne i i i DAVINA yyarVTNNT779%d13 i iadNaNPNA?(WNr9)YoUMaNYDAYNVINANANONY? Mu)=fdsf(2,4) i «HDT NON XANNA OVD NID 4-2 NH AVINA . 797 WD ON n isean =heeeo T(u)=Jaeda i 29wn> L z rem|"1 Iu) = led =-—— =i iH)!Hlrt. ye1f 1(1) 1 FI'(u)=—|xed =pe"|"-—[ede=-—-||=-> [regefouwwwwe |279 WY) 1ANYIN 7399MpJy7aN 1 I(u)=4+>i (4)aby " 1 iI'(u)=“F |1"(u)=feede a 1'()aww»ymeerawn92M. ce) 2 aryy=> H E tg YfacawdnwowFN[(4)NNawNyNNWoRpro/'(4)2wNdOMNYDMNPONY?2 du i iam parcteu x Iu) =(= (2)Jacd OPIN DEDVI BVNd DYTY YPN r 1f_} vey enUT oa x (a) =[apte=f§pete =—f=] aU=—arcrgt|=—arer ro)lo xlas wine? ig==reel| we z 7 a I(u) seawn? 721'(u) 2vN2 wN>yN W192 g wy? TAYTTVINA WN N99 HAYA ANP” EONANDD HIN IwN NNWAN wONY | PON| e\ 9 papers apron ran nazw ‘sv txt1s|—— Fashar Mu)Viede xtselseth :aingd99) gutsyMu)=|ae 2Ine Lid Ly we tee} Pa) | "(u) =[——(e"™*=I)de=|—Inxe”*de =[e"**de =fxd=——|= Tu)Jaxa 1.SinzInxe fue Jereail, I'(l)=20ran220AUW<~1ON — ooapn <-1on uel , ai .wien s> |1G=fa =In(u+l)+e |M)=leai=Ine € i} :OVTY DNCHNYIP Ny | 1(0)=0 >c=0 i yanyD| Lye oe =Inu \lerrsin(u~1) rnopnynest “pm ———i 9%C0sx Ya?=] | avn | |ja| | 2(2-cosx)* | 2oe “\K I(@) = |———=ofa?~1)? (a=|oeex0"~)) sTNN730|r@={[ce,=(@-cosx) 1 -¥ - 1a)=~5a?-1)?-2a=22 (a?—1) | => tds naLaces" “(gy 1° {a?-1)? —s wry3(2—cosx)? 3V3 120 i DOOTION NJDYDTVIN 1G i Morshmp014.1 AHYINASIMypNedvATIDJyIN)OMONNYOTI0IATW299 i DAA DRONA NPN NA ONPON x=xX,-2AY NAP) ype | ainfr) xq y limf(x)= f(x) OP a : on il :VO -ROSTAPNAITINN: ~! mMypnan :m THNy=—— mypnansant ha x oyna ‘ )pv x=a AMPNAP i pwn f(a)x E wx (0-9 me)OpwRlimf(x) a | AMsNeMspNaN nevAAT , >f(x) HONPYABNAYN | NP -obwevmaisnab : limf(x)=limf(x) 3eat ma | va x o> Suay_NAY pNP f : OD NYlimf(x) i J(09d ayn ovonvn O-aONG WAV70D a AenUPNAomnnapstWAf(x)Wwe P| ta@asx<d oinmmednNNATPPINf(x)WRMp?ADANYONY? E rl 2TYNNYVPN14.22OXMANNYTDIDAP?|f(AdeOODOWN ia@<x<b oma mined nnN MOSTN TYP) f(x) DRONI.N | S2vinnNTAANOPMPXONIPNA.NOPNNIWYWOINA MdTANINNNINAd2 i ssan wa oneDA apne? ne-wnA pean nnzw se | :onpn4 papnad PSION SUDIN | bampmesrxf(x)“9.2 , A JSede=limffeyee | @rp MHI Nf(x) -2.2 | : Jf(xyde=limff(x) | b>anmpamoyn f(r)2.3 | i 4 2 |JfG2)de=timffond 4si | a@<c<b WxMpaMINNf(x)-9-4 i . , 4|sever=limJSx+Jin|Jon | EDMOND WOINA MND at [Jed=limeee | 2 ~ 3 . e |Jf(ade=Jimff(x) +ode 6dk —— =li > ar VsSreeJim|xed AmpndOnn ] 22 " s i uno 4de . .[== arcsin|®=arcsin8avi-? 4ae x im|==limaresinf=> iunlfax Baa :epronran nyawAn ix . H pt i 16.3.WN r|:2pa? nayNT f j#: jive | emanyyaaPIsp27)pAyan.NITTNVINIAI a rz ¢de *' FLtim[=timave) =lim(4-2Va)=4 |ipaeisncnsnes x a |18.6-1x wxp'rs? ApyoonD roan azar ‘svg :3™Mpn? AT : s 5a& de ‘oe . .=z(_2) | af =lim [=Iimresinx{f=lim(aresinf-aresina) ==-|-}=x fvi-k atee ae 10=jim(resin Paar) = MANOVA wD FDI NNI FMADESINAY POPTBVPNM OMANNYOPONNONDNDTYBRANYMNEITIN II JAAN Naa AY 2 PND H ry | Jang ONT ANAWDTHNANMDW TONNADI|f(x)deJOANN OMPNDSUATOX enna | bade tar| f=tim[==tim(ni-ina)by Tams |1 |de t srann sawxn wanwown waton[=snayoro»pwxmrdia Le a>c>b npr YS7 wR TABVINT ADVITA MPH ANY 990d Way :aw99 990 Stade =ffede+[pede -O7aND)MYNVDTONSNBYTSITOITANTTANDPHAdaOPONAWETNXON | ae | ic i 4(x-1)* | =ANANANNASwwNAYPVATNDvITIOD i »fFoad > i x=), 17-1 1 vayanawnosind29mONDNIABNTHOMA He>OMAWTHERwSDmH | = _DSUROMYANSINDAYNVI i 28 i i imeena nin ran amass i onaAPNAPNETayPIAyDnyNAW°99 TITANWweVINNY tnTAWA 1i ysadOryPd)(20-bNONWMYPNaA)x=]ATPNPTONemwnrasxsb= :nNan Ta Sao iide=|dejde»P(e3-1?4(e-1? i p 4 r yor 4)de & 1} 1 Ss tim|5=lim|-——) =tim| —) =aleaninlayiyzt),“Atip) tae ja JF>pwnmonaoneumepavexvopwx[Araownwnoi729aN i7(x-) 3(x-1) oo OM i mmomnan nynvan y’ . |!y7Ann MspNe? 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NoaM¥DNAD NTN NYDN i aT(n+1) =nP(n) sWwpn orp oak otet i I==FJae = awn(3 der see Ley i sp eh=U i x=0+Usax0 > U=0 i e*de=dU owa - eg ——=aragy|*==-0== iJvat iar ieee) fe“tsinzde= san ia] U=sinx dU=cosxdx i Vee" dVse%deaU =~sinxde U*cosx i Vac" dV=e%de +(e" cosx)|” -fe"sinxde =0+1=1 2fe*sinde=1 . 0 inde=>; 2 i MINOWPwMNAWNNYTD*9ADONWANNIBINDD7WwWNONNYT?V2AWNONY? Rung ical Diep rs? apron yan nazu ‘sng EDONBNT s03NT MoI pts -2 jxde;x842x7 +5 yapionp 3x‘now 2x7+5mond yo xTOY KAW 21 3x8 3x? 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" f(x)1 lima j 0g(x) Sone) limf(x) =0 limg(x) =0 Wi | 129 reps? aren roan oz “ns 0 mtn NYARSINAY OPININ BRTNT5SYASN SPE NI { Sap> ya net mya | lim(x) =0 limg(x) = 2i cyNYDANIA—VONNVAOVIDMATAINI \ = 122und AEaD OMS IWITD Tw ap PAMOY AIT WHA | 2x-7 sinxlim =2;lim===1 ! ne xa3 reo it wo0} 1gvimoe onan NoOMo2 DYBIWMNaNdFONdyPEIUM RODDAMYANYIB? (angynN2)-207019.9997 OSS DSU :0N limg(x) =0-1 limf(x) =0 | limg(x)=20=)limf(x)=20 jimZ2_ ALO) I weeg(x) limg'(x) =mNNBSYT aunt I vimSitAOE 1sox lim)1 | aun (2 x*-81 4x?lim——— =lim=108 l 43 x-3 md | awn ot 2x 2 i limx*e™*=lim=>=lim==lim;=0 paPme! net roee 30 I ' | peers? apoom yan aoe i danpypmNNTPAANSINA9102ODN wtyrtl* iel co-Dqne*-ANIDAY.D0-9199NNTAPDINDJP)OWDND.VNNTIM«9-awuy? i .xDv7pIN 2D ANY WD / oO i waxOxDNY=AMDUMNNAVAN2-0AMNYADOBAVYRDWPWw»(3)MANTA «a9BY © 0 N= -90-o-MayndPon i2” 0 awn (4 i: _logex 1 nO, lim~S =jim—*5 =tim=0 Bex yx" emmy i .DIDIPIWNID ANY AWN HOYNI NNW xIwVAN APIN Iv ANAD Nt awn(s i.eti}Oon>l oxone’ lim =lim —=41n=1 ae’=]aro@FI ile a<l awn (6 Fxiex-6 tim2xtt_ 5 im = = lim== ii poe oe 4 i0 7posi doawenend IMDpr>wewD NIN “BN 7RRor@ Pin TIDNDNOIVa¥A? 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ApenT ran anzy ‘sis emymonn pra (3 | |}¥2x+3 vee VB| [Re awe 3(x?+5x) x?45x200Sr | ifTan 27309NN 1p? snpronn prTa (6 | 22 *axi+Srel x->0 -2nry2 999PR oo-apray vix+3. V2e v2vx 1 Fon? epPD tS veoxrel me Pgh -pone swanhaenNoDvTDY | ‘ ‘ ‘ wana |f(x)de psvom] g(x)de O71f(x)<g(x)MypnaMEpr] f(x)de ywON. . i crann] f(x)de orevane|g(x)de -1g(x)$fe)nEMPONaA smear —vr—8 j sTNWAN wap wy 1 1 1 - eove=8 (x-2)(x? +2x+4) ¥¥-2 i SBIINDPWDAVINAO}199VIINDPHqn929Y27200N7 i 136 i in DNprs? nreano poan anu ‘ane DN SYMATANM mpNA 15.1 OOPNOON .dxdMN NAPPIWANN >coWI S,=Va, -yaopox:AYA ra <1anp NIP) TWA N—-» woWD S,bm <7 DV NIP? §+1v3INB THN limS,=SoNFBS <trano WN INOMp wrlimS, ON "prdraad qui wer oprdTS,WAT limS, =coWO TaND NwAANA 7 perra nen WAND Nw :AAaYT 1424340004, i wrrey *a"A TO Int |n+l) |SO limS,=2 { eAmanen TANNA yA wwAD Wann Te ANI 1-1-1, { ee) S,=1,$,=0,S8,=1,S,=0. i A+) MY OMNPN nN VEN MY-MDWI S,719<7anDWOMWWW?9123PRD? i : sn.WdAMIN i lid stator59S 1) a=29=7 -rept i: l=g" Sia, 2MDA NynNeyn 0" 5 fy i"5 4ay ) ‘ i 138 i a i] ' , | Dexprs? apron 173 any “sg ! oe Af, (1) 0 1 : <GBo oIINS NOT Sax manna np S,mexsp ysyann wwpIIND Ww OXATW yO-PRANY awh : nN NYND 99D YI NDOANA ANB PU.NNWEN onda NY ON INP AYP ton n> , .77ann WNAND pM)WwONNYT AYA NWN wMaNP ON? nt 923.5, 2997,S,mexNddNwdYINMTANA WWINNA NPTAYynaBMUTod2TEMA 4,99 : sw OV YOWN ONE WA TYNN.crawh OnaD WwvM2 PI2 UN O/aN DYOM qUAdI 722 OMAPN OMAN DYOI INN NDI Wor wna , OMAN OWA 1 Vay) OMAP ONAN YI ONDA PTW INNI.OMPv1 OMAN apn Mv ov OAPI OMNUD , TAN DwtateASvA MITA YHPNTWSwNNTANA IMONA Np?TIw YN“PyAD WN ‘ DYNDTNTIA ODO SYWWD dD NAP NIAONIDD 112 OWN 993NA ANNA Twa : wn DYNMTaNn WamenA 139 weeps? apeoMD ran ma7w ‘sts 2277 30) NINA W_ 15.2 *wPNA MWAIAA NonOANPAHwNONDWw | a+ar+ar?+..+ar" +. 1111 lts+stot tot. | 27374" n sqwawan Ww. AYN WD :71027aNn+]DID i segee : eg 4 fe 08 Yar lar ivr at a q a Ipl: slime =0asa 7ory? pinewmlimS, =7, fl<1ON. me =r re” I opNdlimS,poo»pNIlimr™"',|r|>]ON. i 1<-1 ON(oscillates) £00 nanp> TronnIT >]ON&->VTAND WA xnen WW5=PORTS 5S,=(n+la po +20-9773nDWMlimS,=00=»2DNWD? i ~ Pred NTA NN5=-1ONT a-a+a-a+ iS,=aporn ox: 109 5S,=0pone oN .annWMTennS,-voR i non: pIsOs? a+ar+ar*+..+ar"+., i irl <1999monn r= 192>yanm !wpaanwosany i wit 23°nm aSMRANMMP?TAHNPIN?990 Gln¢oeln(sewer) ¢suleeeneeens) is(s}+[secltlctcestclefctote sce tetCCAP RACRSBEAeMCASRATSRATBATRETRATS 130 i fa 3 29 mw IXDR ANDO ONAN YYMYND Yow MNAd Dov a 1 =2>t I 122% >> 11 i 2°2 1114 st+recttes i 34°44 2 ee eeeeeeee Seotetopetotctosces 5°67 °8°8 8 8 8 8 2 i ; 8PPyn Onwana OMAN dyAya 22y MNT? TWN limS, =9099>-mAbrannn92wmsiay vPoTPN roWDWITVA savann2nmiaqawny ioymann aon mvvranny any npNID ANdin wD TBM JANYA ON JOA WAND NNN WwAW prs? AWN, 15-1 yOPTY Wa OMAN YIN dwODO :9en> ‘Enpianny 797ONIN15.3 I _N79NA2737 PNany.lima,=0NWDIINDS,ONSA 1i eytanewenANE9937lim=0wveAnWes+A 0D vIonn S,ONANDI i limS,=limS,.,=5lima, =lim(S,-S_,)=S-S=0 102 i .7annWwavOT”pelima,#0ONlima,=0O»PNAD 2»nKINDNw992M192 .D?90n IN NDTW INA) MONA NIN NaN wt ‘anapa_daain “nd15.4° IponeDka,ixS009Inna,om0-aMMNAPNIN kONTESUD’ ™ ™ i amanoYka,0x77ann Dia,omkSo209 = rd wap'rs? Ayronnn Vaan anzy ‘3118 spn SisLika,7S,=Ya, yom S,=Dika, =kDa, =k, yor limS;=lim&S,=klimS,=kS 212 yA DaMTAND MWA MTVA ONY Ma 3" ain WD :ABMT . laid 1 Steet htt. 276 18 54° 2-3" anon nxanne yw) vit427 1 a pone23nWwHDAP?F-=5OFVEIT NIN2WIADX=waarmmo? -ponn Nim Sli isi li 3lor“2hPlas 3( . wn ant ata a |2°46 8 an” Sil ikaln . o1vaneanWwAGayaneY—par iSn - limS,290°NYYTANNIN vIINDWWONAPTA?MoVAVONwDAY»92 <22009ND yan15.5 i sn309 f(n)>0 NWf(n) 297 TANA yo ,OMAPN OMAR DYVOPD a>0)rannf f(x)deoNTanniwon|f(x)deONWINNDf(n")WA i 192 fl a weprs? ayeonn ran Anzu ‘srg judeal Lo1)i nonprdr =--x" | =--0-1)=- o 2407 at 4 4 paND oA Pp?OM wwINT WONTHYANDNOVTTANDWNWINDVONONMYONPN7?MN)Down Jnanwa>Ow | enn #Rono%enmpna pond) | Lol 1 “1 j lespespeetee bo. 23 n > . vpn 90DkWN i 1 a=1-) f(x)=—= 19DL@=5 sankel i 1 1 oink an 1 -#>1yaypionnnonpWwaANSINI->sapk>Lon 5 2k<1Way ©-9TaN WOT IMIY9 ©Yap) k<1ON ennnon,k=1mMpn2wn i nytttre sects2°3°4 °°n | sana? 20 1 Fe inat iJoac=inx? =00 x aran VON SIA nan 99w2 baa 1 lest yt tat24 n . -k-S1yayyannk>1yaypenn a <Vanb IAA AY MED ANDI INDBEY? 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Svn+5 |Deceit a —~ 3 xmo anni) Lae Le+Vn+i l <ifxi-1)" t >>ST) WNDworENavenNa)moAA OMANSD.N.2 ms neason wonnxpensryavnToes atext xt ea 3 +x y=arcigxwypnon | -¥=cos(x?)M¥pneANNNYpRWYNN2i :ONSN DOPNA ONTAND XOWIIND NATIT 3 oo Px tr a& FL~cos(x? ien re eegretinx 3(x-1) 8402-19 7 1 “inQ +x?assypra[RGAE Soman meaunot4| aes 2INy“219%NIDx-IAWIWA INNWDf=x7y?T¥_NEDAROAWANNIND2j Way 1 1 2,1pm L()= SQ)+FE~4)FSeMHe)HoGSE Ht6:a: | dz=dk+dysobWNT ox Gy 1 fangsaa ]jj k i wa PNP? APIAND i 3.4 ynan . -f(2) =log(cosh(l- x*)4)mypman nea -1 éz az ny i ==py.3xr-log(y+z) s(x?+7)?¥pneTAM.aby 6x 2x2WY TTD DNDN TYx=0PIV arccos(siah x)P¥pNEA NNTre Td NI. oesfae @>0) 22 }Joesin(x-1) a [[fteavde— "pe sanownneavn3D ty i .2=0,2=H pwn wpakyrsoyyadyx,y>0DoTRINDWr dy a SF52bya2x+c0sxwheyNo TANNADNTN.4 ia? de [fares Deore? ayoonn remanvu-sng | DNP?PS> APPOAND j 3.5nan j -f(%) =log(cosh(t=x*)'2):mypnanmena1i .SoSSNyp3x2—log(y +2)=(x?+y*))3 ypnenanm a &cs 3:ey+2)=(x?+p?) P 2X2HY ITO OMAN 9911 TYx=ODD arccos(sinh x)M¥PNEANNTYYWdANDai se Jat @>0)wnx2ia vive" [eeesin(x-1) 2i S[fxcs 0# ssnwOANNSwN.3 H Foy i +5=0,2=AomiwnnowpaRopmoy951byx,y>0ponnNIMDwri Ly5 77 vino.4j +r SatOy=2x+cosx mgm nNwWOA MAND rg + cos: m: fangsna i 383 1 B 4 wa j NPAT APVANN j 3.6nan i 2DNANOSTWINA SYNTNTINT wNNN p72-1 °de Fl—cosx* fee yesinx? j je [Se [ag Seo(x-F4+(x-NF >0 ox'tin'x” q& | _ol __sin _( 3)"limxsin—> a lim oa lim1-=-} wx sawn? i pene peor palxtparctscox? } orpon»9bvadwaDySoA (a)=(TEE xaun3 ° xt j wfevtdnaydes (Ipom xde=2a ° a a a t sorxanowAMonn PITS | Sent y pant -y"{——} a azewo Dx +.Grae on" *1 on <1 | >eeerer il Doin?nzoo Dyinpe ami[n(n+))]3 ™ vininpn | _mosonnnPPTneRUDISAPINTxOYMMpINS@=NNIN.SSeay JaneeinemvonASMENSVINAMDPTS. nonpm.3 |m= vn x-Lowmpind x-8x'+7x? +3x-3 nxnna.d , fAnesna 3a8 Deprs? Ayan Yvan anzy “3g na DNA? 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WON.i Boas” xsiny1,s=ysinx ,z=x7+y?ym x i LOSx,ys ONz=osx+cosy+cos(sy) Mapnen2ynMRITE?7Ma l-yLopymain OMAND TYy=)x-2MPIWw?z=FSMPypMEN NNNADKF y 28de h ipa SSOPNATNWNaye ty |fangsna | Deep rs? nyennn p7anmnzu ‘she m3 Pw eR 1998 pxoas { i DNP?PO APPUANN |3.15 ynan NaNOPADwRONVINAIMO29NAPTI.1| S(nl)? Svan +7Lea? T= xmi(2n) min? +n-1 Plo... 4 14 a, nt 1Srortsrqtyrrtetoot ot X-y—s a 2P°3Fa # ne a T+in?n «fede soxopx aiomays NanOneDA SwOPNA NNWNaN. =(x-3)"===> ywn dymovennA OPT AN NSD 3 wivn+1-2" i an= DEnaaumSineoanmxnanmyonan mensi x=x,y=OP20==sin(xy)PspNEN NATWINND WN3| “Ya (x-x)? enpyan mopind wy i xvsiny=cost,Inxr+y=sin¢ op z=x? +xlny mypmonaNM 2 , dzbyox |Sorell 2+S)enat at ‘at q xP+3?=RPpunaomanAwrfededyoavxameanN4i 2]-9nwrmoroy) x?+y?+27=ReapowinennNIwN 2i tangsna i 383 A . weeps? Apennn yaan n7w “sn ma ' DNPPO? AprOnNnD 4.1 ynan j :NanOUOPNA ANawn1 Lie [[lesyzhao ad Spaee ue ' {ff(t6-9°)* eededsdo a ) ao 0 siete) ' 5”. -»wyspsnnone non moss oxReptNDPan-IWN.N.2 (tyes)? 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