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⚪1—21..ᑡᦪḄ12(1)y=---=(2)y=logarcsinx(3)y=-----t/J/2_9sin^xI1y_1(4)y=l-----Flog(2x-3)(5)y=arccos-1----+log(4-x2)rtflVx-222.-ᦪsin—(xw0)y=\x0(x=0)Ḅ01஺3.3ᑡᔜ⚪5,ᦪf(x)0g(x)7ᔲ9:?(1)/(%)=xg(x)=y[x^(2)f(x)=cosJT,g(x)=1-2sin2y92[বf(x)=-~-,^(x)=x-l(4)/(x)=±,g(x)=x°஺x+1X4.@/,(x)=sin1AB/(x+Ax)-/(x)=2sin—coslx+—I5.@/஺)=0?+஺D+5E/(X+I)—/(X)=8X+3,Fa,஺Ḅ1஺6.3ᑡᦪ5HI7ᏔᦪKHI7᜻ᦪKHI7MN᜻ᦪONᏔᦪKi_2x(1)y=x2(l-x2)(2)y=3x2-x3(3)y=----
l+xa*'+Q-X(4)y=x(x-l)(x+l)(5)y=sinx-cosx+l(6)y---------7.@/(x)Sᙠ(-8,+8)VḄWXᦪYAB(1)F,(x)=/(x)+/(-%)ᏔᦪফF2(x)=/(x)-/(-x)S᜻ᦪ஺8.ABᙠ(fo,+8)VḄWXᦪ\⊤^S_`᜻ᦪa_`ᏔᦪḄ0஺9.@/(x)ᙠ(-L,L)VḄ᜻ᦪYc/(x)ᙠ(0,L)VᓫeYAB/(x)ᙠ(-L,0)Vfᓫe஺10.3ᑡᔜᦪ5HI7ᕜhᦪKijᕜhᦪYᢣlᐸᕜh(1)y=cos(x-2)(2)y=cos4x(3)y=l+sinn(4)y=xcosx(5)y=sin2x(6)y=sin3x+tanx஺11.ᑡᔜoᦪ5HIpq᪀ᡂtᔠᦪKvq᪀ᡂtᔠᦪḄᑏᡂtᔠᦪYxᢣlᐸ஺(1))»=x3,x=sin/(2)y=a",u=x2(3)y=log”=3x2+2(4)y=4u,u=sinx-2(5)y=4u,u=x3(6)y=log”=x2-2஺12.3ᑡᦪ7ᵫHI|ᓫᦪtᔠ}ᡂḄK(1).=1(1+.)2+1(2)>=3(x+l)(3)y=sin2(3x+l)(4)y=^logcos2x«a13.-3ᑡᦪḄᦪ

12X(1)y=2sinxফy=l+log.(x+2)(3)y=-2A+1⚪1—31.ᑭᵨᦪᑡ᩽▲AB᝞limu=A,ᑣlimIu\=\A\,xBpᯠ஺nn"TOO"T8⚪1_4Yl'X(X<1)1.@J(x)=1)(1)ᦪy=/(x)Ḅ(2)᪷-᩽▲lim/(x)alim/(x)XT1+(3)-1Y/(x)ᨵ᩽▲ᔩK2.-3ᑡᦪ᩽▲..XX(1)hm——(2)hm—z-----(3)lim—20XTO+1X1XTO+X+\X

2r,+lxl3.3ᑡ᩽▲7ᔲ¡ᙠKS¢£KJ_(1)limsinx(2)limarctanx(3)limcosX—>+00x->00XTOXlx-11c(4)lim(l+e-x)(5)lim.(6)lime~o▲TOOX->1x-1XT+00⚪1—5-3ᑡ᩽▲,rf11-V)x2+512.lim)—23.lim]223n(n+1)J.r—>2x-3'..x~—2x+15,limWVx-14.lim----z------6.lim2Ilx4-1A->0hXf1⚪1ߟ61.-3ᑡ᩽▲©sinax«ஹtanx-sinx©1-cosxZI(1)hm------SwO)(2)lim(3)lim--------iosinbxXTOioxsinx2x-tanx“ஹ..arcsinx(6)limJ1+—(4)lim---------(5)lim-------iosinx10XX->oClXx+3(iYry(7)hm(8)limI1+—(9)lim(l+tanx)cotxt).r->oolX10)ஹ%-+]¯+Q±X2+2](10)hm-----(11)lim(12)lim1x^ool7

32.ᑭᵨ᩽▲¡ᙠ´ᑣAB/«µ©111©(1)hmn\----+—------+…+-------=1XT0°

4+7T஻~+24n+n7C)(2)ᦪᑡ·,¸2+¹,J2+º»…Ḅ᩽▲¡ᙠ;¾V%2+11r(3)lim-------=1oXT+COX+1⚪1—71.஻À▲eÁ,3ᑡ᦮᪗ᦪHI7ÀƾKD(3)”(4)ᓰ*(1)-y(2)nn+1nn2.ÂÃᦪxsinx,-^-,—,ln(l+x),ev,e~xxx(1)xf0,VÉᔜᦪ5HI7ÀƾKHI7ÀÆᜧK(2)Xf+8YVÉᔜᦪ5HI7ÀƾKHI7ÀÆᜧK(3)7Àƾ”YËÌÍᑗᔩKX3.ᦪy=xcosxᙠ(-00,+00)77ᔲᨵÏKÐXf+8ᙢYË`ᦪ7ᔲSÀÆᜧKS¢£K4,-3ᑡ᩽▲!000«J/+஻«0>11+஺+஺-+…+஺..]171«(1)lim(2)limlim-----------------(lal<],161<1)x-»oo"2+1'x->00n-2KT00(_2)஻+2஻Ô3©4x2-1(4)lim(5)limµ_(6)hm---------XT00(_2Ó+3"iX>lX+16R—5x+1,25.-.ᑡ᩽▲:..7T.(1)limeA+(2)limx-cos-(3)hm-sinn/rXT+0o(,r->0Xrt->00flarctanxe-x(4)lim(5)lim-------(6)lime-^arctanxoA—>00xisarctanxxf+86.3ᑡᔜ⚪Ḅ×Í7ᔲØKS¢£K2_qlim(x2-9)(I)lim------=-------=ooXT9X-9lim(x-9)x79©Y11Xr1r1(2)lim(--------z—)=lim-------lim^-=00—00=01XTIX—\X-1XTIJC—1x-^\-COSX..©1«lim-----=limcosx-lim—=0஺X->00XX—8A—>00X7.ABÚ0Yarcsinx-x,arctanx-xo8.ᑭᵨÛÜÀƾḄឋÞY-᩽▲

5,ஹsin2x…..sin2x(I)hm----(2)hm-------iosin3xioarctanx©ஹ©sinxnX(3)lim-------(஻SØ᦮ᦪ)(4)lim—^=xf஺(sinx)mio+VI-cosx9.xf1Yx3-3x+27x-17ßà▤ÀƾK10.Xf+8Y4—7V7ßà▤ÀƾKx4+lX11.x-8YLsinµ7L7ßà▤ÀƾKXXX⚪1—81.Ẇã3ᑡᦪḄäåឋYxælᦪḄ:Yx2(04x41)(1)fM=-(2)/(x)=X2-x(l1)1(x=0)2.ᢣl3ᑡᦪḄçèéYBËIçèéêjH_ëK᝞7\ìçèéYᑣ⊡ᐙᡈᦋñᦪḄòóäå஺x2-1n(i)y=----------(2)y=—বy=cos2-.X2-3X+2tanxXe*(00—sosinx4sinx-sin஺aln(l+3x)(4)lim(5)lim--------(a>0)(6)lim----------x—>ax-axix-bxsinx(7)lim(8)limthx(9)lim(x3+2x-l)X+xX->-KOXf—00

6y[x-V2+Jx-2"10$lim------.-----"11$limx”&(4"12$lim-------------20x)⚪1(101.+,-.x$-3x=lᙠ23(1,2)567ᨵ(9᪷஺2.;/(x)ᙠ=23[a,?1:ABCX],4C…Cx”F[a,ᑗᑁḄ“9KC+,e[a,b],MNfg/(X,)+/(X)+-+/(%„)2/C)=--------------------------------n)⚪2—11.ᵨRᦪTUVWᑡYᦪḄRᦪ(1)y=ax+b(a,ᓃF[ᦪ)\(2)/(x)=cosx\(3)y=-ox2.Wᑡᔜ⚪aᎷTc'(Xo)eᙠCᢥ᯿RᦪTUhiWᑡ᩽▲CᢣmA⊤pqrs(1)/Uo-^)-/Uo)ফ=A0ᐸaC/(0)=0\lim=A\&T°Ax1°Xব]im{|}~—஺20h3.ᑭᵨᫀYᦪVRᦪCVᑡYᦪḄRᦪ(1)y=x2-y[x\(2)y=xL6\yfxx2-y[x(3)y=—r;(4)y=-=-oxVx54.Yᦪf(x)=L,V/পC/'(-2)஺X5.Yᦪf(x)=V7,V/(2),(4)஺6.ᵫs=gg/(g=9.8/2)஺(1)Vᙠf=5ᑮ(f+4)323ᑁḄᙳC;=1C-0.1C0.001;(2)Vᙠ5ᩈḄ\(3)VᙠfḄ஺7.Yᦪᙠ¡K¢ᨵRᦪCYᦪᡠ⊤pḄ¤¥ᙠ¦KF§F¨¢ᨵᑗ¥s©ª«,஺X2(X<1)8.;Yᦪ/3)=(I-'cMYᦪ/(/)ᙠx=lᜐAB¯RCa,஺°±qr²sax+b(x>1)29.V¤¥y=sinxᙠx=%³´=§»ᜐḄᑗ¥·᳛஺

710.V¤¥y=d5±ºᙶ᪗½=1³૙=3Ḅ¾KC¿ÀÁ¾KḄᒘ¥஺æÄᱥ¥5Æ(KḄᑗ¥ÇÈÁᩩᒘ¥s12.+,Yᦪᦪ/(Ê=-Ë⊈ᨬ஺°)ᙠ_=0ᜐABCЧ¯R஺¥0(x=0)13.Yᦪy=lsinxlᙠx=0ᜐḄRᦪFᔲeᙠCqrs14.ÒÓWᑡYᦪᙠᢣTKᜐḄABឋÕ¯Rឋ21/1ஹஹxsin—(xwO)”5ØÙ(1)/(x)=

8i()f(2)y=x2sin(x-2),Vy'(2)஺3.VWᑡYᦪḄRᦪ(ᐸax,fFÞßC஻CáFᜧÈãḄ[ᦪ):(3)y=>/l+in2x(5)y=Jl+e”\(6)y=Vcosx2(7)y=J1+2ᐗ4—.~\(8)y=sin2-cot(\(9)y=sin2(2x-1)\'VT7732(10)y=sinA/1+X2\(11)y=cotV1+(12)y=sinev+A~2\(13)y=cos2(cos2x)(14)y=x2Isin—\x(16)y=2"æ(17)y=t3—3'(18)y=ln(l+X+A/2X+X2)\(19)y=eC3\(20)y=ln3(x2)\(21)y=ln[ln(lnr)]\(22)y=arccos—\(23)y=arccosJl-3R\(24)y=Qarctanx\x

9R2arcsinx…ஹ(25)y=xarccosx-vl-x(26)y=.(27)y=arccos—'e(29)j=ln(arclan71+x2);(30)y=aicsinA(28)y=arcsinarccosx\(32)y=earcsin'+arctanex\(33)y=(5](é)\(31)y=cosarccos-sin2—(34)y=e"\(35)y=ch(shx)\(36)y=th(lnx)\(37)y=shxe"(38)y=arctan(thx)(39)y=In(chx)+———2ch2X4VÕ¤¥y=x?+5ëᑗìíÀK(I,2)Ḅî¥-.஺5V¤¥y=xlnxḄÇÈî¥2x-2y+3=0Ḅï¥-.஺6Äᱥ¥y=;?5Æ•KḄᑗ¥Õî¥3x-y+1=0ñᡂ45°ó஺7VÀ¤¥y=e2*+x25ºᙶ᪗x=0ḄKᜐḄï¥-.CõVöKᑮ¦ï¥Ḅ÷ø஺Vú:8;/(x)ùx¯R,dxপy=/U2)\y=/(ex)e/w\বy=/[/(x)](4)y=f(sin2x)+f(cos2x)«)⚪2—31.VWᑡYᦪḄ~▤Rᦪy=^a2-x2\(3)21+4+4(1)y=xcosx\(2)y=-------------\X(4)y=tanx\(5)y=(1+x2)arctanx\(6)y=e஺\y=ln(x+yjx2-a2)஺(7)y=Insinx(8)y=sinx-sin2x-sin3x\(9)2.ý+Yᦪþ=GeA+C2e-஻(ZGC2ᦪ)ᐵy"-=0஺3.ᦪy=evsinxᐵy"-2yr+2y=0஺4.'(ᑡᦪḄ+▤-ᦪ.(1)y=x2e2x,'.(2)y=x2sin2x,')*)஺d2v5.4/஻(x)6ᙠ'(ᑡᦪyḄ8▤-ᦪ9:.dx<1)y=/(x2)(2)y=/(sin2x).(3)y=ln[/(x)]«6.ABC=8-DE=FF8஺dyVdy2(y¥

10I⚪2—41.'(ᑡLMᡠOPḄ◚ᦪyḄ-ᦪ?.(1)X2+y2=/?2T(2)x2+xy+y2=a2(3)xy=e*"Ty(4)x>'=y'(5)xcosy=sin(x+y)T(6)arctan—=In24ᓝ.yV2஺x2.ᑭᵨ_ᦪ'-`'(ᑡᦪḄ-ᦪ:(1)y=2x«(2)y=(lnx)xT(3)y=x3x-2+1)(4)y=(sinx)cost(5)y=(6)y=(5-2x)(x-l)-1)3.'ᙊ஺-1)2+(y+3)2=17ef(2,1)ḄᑗhLM஺4.iy=$ᢣ(ᑍ+m)'y"஺5.is=l+fe,'s.ox=t26.opq'y=4/dxdx237x=acostdyAy7.oprsh,a''y=asintdxdxx=a((p-sincp)dyd2y8.op᤮h'yy=a(l—COS0)dxdx9.'(ᑡyhᙠzPfᜐḄᑗh|`hLM:3atx=----7x=acos0,}7il+t~0ᙠf=2ᜐ஺(1),ᙠe=Fᜐ;y=hsin043m2x=l+2r-r210.opfLMqj=4r(1)'fDᡠᙠḄT(2)t=2ḄLᔣḄT(3)'LᔣLᔣ஺x=elsin/11.LMqy=ecostᡠOPḄᦪyᐵi2=2dydx12.Fᓣᙢ☢Fὅ120¢£¤40¢/Ḅᚖ9¦'§¦¨15¦¦ὅḄ©

1113.ª«ᐭ8¢ஹᓃ⚔±8¢Ḅ²ᙊ┵s´ᘤ¶ᐸ᳛¹ᑖ»4¼L¢½5¢,ᐸ⊤☢9ᓣḄ¿À©14.ᨵFÂ5¢ḄÃÄ☠ᙠᜋᓃ4£Ḅ(ÇÈᙢɤ3¢/ḄᜋÊËÌ.(1)½ᐸ(ÇᜋÊ¿À¢ÃÄḄ9ஹ.ÇËḄ᳛ÍΩ(2)£Ḅ(ÇᜋÊ1.4¢ÃÄ9Ç(ËḄ᳛¿À©(3)Ï£Ḅ9Ç.ËḄ᳛4¢/©I⚪2—51.'(ᑡᦪḄÐᑖ(1)y=5x2+3x+1T(2)y=(x2+2x)(x-4)T(3)y=arcsin(2x2-1)T(4)y=2ln2x+x6(5)y=ln(secz+tan/)T2.'(ᑡᦪᙠᢣPfḄÐᑖ.2(1)y=arcsin4x,ᙠÒ=—|Ó=2—(1=1qÔ)Tx(2)y=-----,ᙠx=0|x=lᜐ஺1+x3.'(ᑡᦪᙠᢣPᩩÖ(ḄÐᑖ.2½XB”ᑮÙ஺(1)y=x-x,x=10,zlx=0.1T(2)}"(tanx+l)24.4ᦪy=1+1,(1)ᙠÛ=1ᜐdr=0.01,AÜÝdy,4yÞ-dyT(2)ªfxᜐḄÐᑖdy,ß|—ᙠᦪàs9᪗D஺5.âã.(1)d()=2xdxT(2)d()=—dx(3)d()=—dxTxx1dx(4)d()=e-vdxT(5)d()=sin2xdxT(6)d()=--=2y/x(7)d()=eAdx2=()dx.(8)d(sinx+cosx)=d()+d(cosx)=()dxoI⚪3—11.EF(x)=lnsinxᙠæὃ9RollePᳮḄᩩÖêᙠ,9ëDì/য=0Ḅ2.¤Pîᙠæ1,3ï9Ḅᦪ/஺)=஺-1)஺-2)(ð-3)ñòóRollePᳮ²OḄ஺3.opᦪ=ôᙠ1,1ïõᨵ-ᦪöḄf÷RollePᳮᔲùú©ûü©4.ᦪ/(x)=arctanxᙠæ0,1ï9Lagrange¶ÿᳮḄᩩᙠ(0,1)ᑁf(b)-f(a)=/'OS-a)ᡂḄJ஺

125.ab<0"#$%ᦪ/(%)=@ᙠ(a,b)()ᔲᑮ,-ᨵ▲0123ḄJ5678Lagrangex>?ᳮ@ᔲAB66.DᵨF%ᦪ/(G)=(G-1)(G-2)஺-3)(%-4)ḄLᦪ,MNOPQ(%)=0ᨵRST᪷?ᢣXYᡠᙠḄ஺7.\Nឤ^3_arcsinx+arccosx=—(-1V%21"er>exo⚪3—21.Fᑡᔜ⚪Ḅ᩽▲:ln(l+x)y[x-y[aInsin3}(1)lim(2)lim'"(a>0)(3)lim--------XTOx-2"y/X-y/aXT0+Insinx,nl+;(4)(6)limXT+8arccotx(7)(9)limxsinAXT0+(10)(12)limx-»02.\lim"-Sin'ᙠ,D)ᵨ^Hospitalᑣ஺XT+8X+COSX⚪3—31.¢£Ḅ¤⚗3¦4m5/3+£2m3/+4⊤¨(£m4)Ḅ¤⚗3஺2.©ᵨMaclaurin23¢%ᦪ/(x)=(1-3x+⊤¬¨xḄ¤⚗3஺3.40=4"F%ᦪy=J7Ḅ®▤Taylor23஺4./=-1"F%ᦪ/(x)=£Ḅ஻▤Taylor23ᑏ°±ᨽ³´µ⚗஺X⚪3—41.ᑨ%ᦪ/(x)=x+cosx(04]<2¸)Ḅᓫºឋ஺

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ᙠc☢x+2y-z+l=0ÌḄᢗÎ஺14.<ÏÈ3,-1,2ÉÐIÑ.?r+^_஺[2x-y+z-4=0[2/—4y+z=015..?1Ñᙠc☢4x—y+z=lÌḄᢗÎ.?Ḅb஺[2x_y_2z_9=0X⚪9—1I.ᢣsÒ.ᑡbᙠc☢Ó᪆3N£ᙠÕ¤Ó᪆3N£ᑖ⊤ghiÖ×5(1)x=2(2)y=x+l
(3)x2+y2=4
(4)x2-y2=\62.ᢣstᑡbᙠc☢Ó᪆3N£(ᙠÕ¤Ó᪆3N£ᑖ⊤ghiÖ×5’22y=5x+1—/*τ—y=11(1)49y=2x-3
=33.ÙxOzᙶ᪗☢ÌḄÚᱥ?d=5xÛᑍ+ÝÞ-ᕜᡠàᡂḄÝÞj☢Ḅb஺4.ÙxOzᙶ᪗☢ÌḄᙊ*2+—=9Ûz+ÝÞZᕜᡠàᡂḄÝÞj☢Ḅb஺5.ÙxOyᙶ᪗☢ÌḄãj?4/—9y2=36ᑖÛx+)y+ÝÞZᕜᡠàᡂḄÝÞj☢Ḅb஺X⚪9—21.zstᑡbᡠ⊤gḄj☢:(4)y2-z=02.ä'tᑡÝÞj☢på᪵×ᡂḄ529?2(1)—++—=1;(2)X2--+z2=14994(3)x2-y2-z2=.1(4)(z-a)2=x2+y23.zstᑡb⊤gḄj☢:

292222(i)À+ᓃ+/=1(2)z=À+j94349(3)16x2+4y2-2=64ozX⚪9—31.zstᑡj?ᙠèZᓶ▲ᑁḄÖ×(1)Ï(2)Ò43Z1[y=2[x-y=0222x+y=<1(3)^.x2+z2=a22.ᑖì?cldx+)y+!}j?2x2+y2+z2=16X2+z2-y2=0Ḅí☢b஺3.ᙠyOzc☢ᑁîᙶ᪗<ᙊ=ḄᓫᙊḄb(ïᑏsñnò×·Ḅb)஺4.Ùt☢j?ḄZóbᓄ¸ᦪbjx2+y2+Z2=0J(x-l)2+j2+(z+l)=4y=x[z=05.õÝ?x=acos6«y=asin0z=b0ᙠ4ᙶ᪗☢ÌḄᢗÎj?Ḅ.ᙶ᪗b஺6.j?÷2+y2+3yz-2x+3z-3=0y—z+1=0ᙠzOx☢ÌḄᢗÎj?Ḅb஺7.ᢣstᑡbᡠ⊤gḄj?পÒ2+/+z2+25x2+4y2+9^2=30(2)[x=3z=\Jx2-4y2+z2=25y2+z2-4x+8=0(3)½(4)x=-3y=422u(5)94x—2=0

30X⚪10—11.úᦪ/(û/)=12+y2Zrtan2,/(þḄ)஺y2.úᦪ/(஻,ᓃw)=஻"+w"+"/(x+y,ᑍ)஺3.ᑡᔜᦪḄ/ஹ111(1)u=—=+—=+—=y/xy]y&(2)“="2_%22_z2+-----(/?>r>0)."/2222S+yZ+z-r2□,2YV4.ᦪ-----ᙠ/0123Ḅ4y2-2x5⚪10—21.8ᦪZ=R2-y+y,X91:ᦪᙠ;஺0<:=:ᜐḄ?@ABC,A:,zEᐰ@AAxG92:HxI2Jᑮ2.1,yI2Jᑮ1.9M=1y=i8/(x,y)=x+y-&+y2,(2,4)஺3.fx8z=ln(x+0],\|஺4.I2x)ঝ`>•=05.8/(x,y)=eTsin(x+2y),f0,(g/10,56.8W=ln(l+X+)2+[3),Hx=y=z=lM<஻x+஻y+஻z஺7.m.ᑡᦪḄ?nᦪ91:z=Intan—G(2)z=arcsin(yVx)G(3)z=sin—scos—Gyyx(5)z=xyeSin;ayG(6)z=ln(x+Iny)G(7)z=>l_xsin—G(8)஻=2e'*+e-o+fG(9)஻=e""cos(஺0)x8.xy=/+ᙠ;91,1,Ji:ᜐḄᑗyP|}~ᔣᡠᡂḄ஺\x=l9.ᑡᦪḄᐰᑖ:

31(1)z=/+ln(x+y)G(2)z=arctan----(3)z=sin(xy)\-xyx2+y2(4)z=!(5)z=2xe~y-y/3x+ln3G(6)஻=e"+),2+z2)G~x-y(7)u=xyx6(8)u=ln(3x-2y+z)G(9)u=arctan(x-y)2<>10.ᑡᦪᙠ;ᜐḄᐰᑖ(1)z=x4+y4-4x2y2,(1,1)GVᑍ(2)z=xsin(R+y)+ef,11.Hx=2,y=-1,Ax=0.02Ay=-0.01M<ᦪz=x2y3Ḅᐰᑖgᐰ@AḄR஺5⚪10—35<22•ᓝGZOZ1.ᦋz=஻v-uv=xcosy,v=isiny,,஺dxdy2.8z=஻21nv,஻=2,u=3x-2y,ᒹ<ᒹ஺ydxdyx3.82=2ᡈ211x'dr9.8z=e"-2y=sinr,y=b,—S0dr10.82=@¨5©9ªW:,«=3Ly=4/3,஺dtII.8®=@¯@°஺7:,y=e",±஺dx

3212.8z=tan93f+2X2y:,x=1,y=99x:,%<஺oxdx5⚪10—4I.8£+£=1<µ஺a2b2dx2.85¶9·:-6»'—%2'=0,i1஺dx3.8In[x~+y-=arctan—,——஺xdx4.8x+2y+z-2ylXZ\=0,ᒹ<ᒹ஺dxdy5.8eZ-xyz=0,\E\஺dxdy6.8x?+y2+z?-2oxyz=0,\E☘஺dxdy7.8=ln—,—E—஺zydxdy8.ᵫ»¼2xz-2xyz+In9½:=0ᡠ¾Ḅᦪz=zYx,yZḄᐰᑖ஺9.ᵫ»¼¿z=/2+>2ᑍ2+2/+3/=20ᡠ¾Ḅ◚ᦪḄnᦪÁE஺dxdx10.ᙢᵫ»¼¿

33xu-yv=0yu+xv=1ᡠ¾Ḅ◚ᦪḄ?nᦪ~~~y~~E■—»~7s°dxdydxdy5⚪10—51.m.ᑡᦪḄ▤?nᦪ(1)z=sin(ar+by)(2)z=arcsin(xy)G(3)z=x2yG(4)z=y]nx(5)z3-3xyz=a3(6)x+y+z=e~(A+y+z)<>o2o22.8[=©*(<05)+xsiny),--=-----஺dxdydydx3.8/(Æ,y,z)=x),+)2?+,/.(OQD/x(1,0,2),g/Ê(2,0,1)஺n.”ஹ452wd2ud2u4.8w=/*,xy,xyz)<%<%dydxdzdydxdz5.8஻=/(>2+y2+%2),_^.஺dx2a2a26.8஻=/(s)+g«),s=x—y"=x+y,dx2dy25⚪10—61.ᦪz=x?--2y2ᙠ;(i,2)ÏḼPᑍ}~ᔣ᪀ᡂ60஺Ḅ»ᔣnᦪ஺2.ᦪz=/2-2/2,+ª),2+iᙠ;(],2)ÏḼIÒ;ᑮ;(4,6)Ḅ»ᔣnᦪ஺3.ᦪz=lnJx2+)<2ᙠ;”,1)ÏḼÓ•Ô▲ÖᑖyḄ»ᔣnᦪ஺4.ᦪ஻=xy+yz+zxᙠ;(2,1,3)ÏḼIÒ;ᑮ;(5,5,15)Ḅ»ᔣnᦪ஺5⚪11—11.xyx=f-sinr,y=1—cost,Z=4sin9ᙠ;-1,1,272^ᜐḄᑗyg×Ö☢»¼஺2.xyx=—^,y=U]

347.x☢-ßߟ8x+z+5=0ᙠ;(2,-3,1)ᜐḄᑗÖ☢g×y»¼஺8.x☢z="2+P<2ᙠ;(Xo35⚪11—2I.ᦪ/(X,y)=4(x-y)-/-y2Ḅ᩽R஺2.ᦪ/(ᐟæ)=(2g-ª2)(2ᑐ-æ2)Ḅ᩽R<ᐸ<è*0஺3.ᦪ/(X,y)=e2*(x+y)+2y)Ḅ᩽R஺4.ᑡéêᦪᙠᢣᩩíḄ᩽R(I)z=xy,îx+y=lG(2)z=x2+y2,î±+)=1,ab(3)u=x+y+zî,+'+ª0,y>0,z>0oxyz5.IðñòS/Ḅ•ᑗóôõ<ᨵᨬᜧᕜòḄóôõ஺6.ᙠúûSaḄúᳫᑁýþÿᨬᜧḄᑁ஺⚪12—11.Riemannᑖ஺⚪12—20<%<11.0.xe!'dxdyḄ%ᐸ%D:-1dxdyḄ%ᐸ%£(:0

35(5)஺S(x—2)2+(y-3)2=4ᡠPᡂḄCD஺6.ᦋ^_.ᑡKLᑖḄᑖL`:pe“nx(I)[dy(2)]/(x,y)dyRJojyflfVl-x2-3-(3-x)(3)Jcqf(xy)dyS£dx[f(x,y)dy+τdxr./(x,y)dyR9(4)2“6)rd/(x,y)dyR(6)dx^(x,y)dy0I஺7.fg@ᑡFGᑖS(1)||(x+6y)dxdy,D:y=xy=5x,x=lᡠPᡂḄCD;9D(2)-dxdy,D:y=2x,y=x,x=4,x=2ᡠPᡂḄCD:(3)JJ-Jdxdy,஺Sy=2,y=x,xy=\ᡠPᡂḄCDR(4)|j(x2+y2)dxdy,D:y=x,y=x+a,y=a,y=3a[a>0)ᡠPᡂḄCD஺D8.h@ᑡijᙶ᪗mnḄKLᑖ^J᩽ᙶ᪗mnḄKLᑖS2RJ2Ry-y2p2T2cপ[dy[,t)dxR(2)Ld4”<={),=0PᡂḄW

36-14x41(1)[fdxdydzᐸ%V:-l0),y=0ᡠPᡂḄCDR(2)ffjgxd'dS,ᐸ%V┵☢+y2=z2y☢z=lᡠPᡂḄCD஺:JJJJC+y+14.ᑭᵨᳫ☢ᙶ᪗fg@ᑡGᑖS_________________________(1)JJ1(x2+y2)dxdydz,ᐸ%VSᳫ☢z=yjA?/0.b/_?v(A>a>0)y☢z=0ᡠPᡂḄCDR(2)_2+y2+z2)dxdydz%ᐸ%VSᳫ☢/+/ᓝ2=1PᡂḄCD஺V5.〉⌱ᙶ᪗fg@ᑡGᑖS(1)JJJxydxdydZ.ᐸ%VS☢x2+y2=1yz=i,z=0,x=0,y=0ᡠPᡂḄVᙠW•ᓶ▲ᑁḄCDR(2)+f+j+l)dxdydz,ᐸ,VSᳫ☢f+y2+2=1ᡠPᡂḄCD஺£X2+y+Z4-1⚪12—41.┵☢2=¤¥¦§☢Z?=2xᡠ¨_.©ᑖḄ☢☢஺2.ᳫ☢X?+y2+z2=஺2J☢z=q,z=gᡠᜳ©ᑖḄ☢☢஺423.fg☢¬+¬+=1§ᙶ᪗☢ᡠᒘ©ᑖḄ☢஺abc4.izy=x¬%ᵫn=0¯°=4Ḅ<±z±²x³´µᡠḄ´µ☢Ḅ☢஺5.¶ᱥ☢=44=24y☢[=0,2+=6ᡠPᡂḄᱥ(¹ºJ1)Ḅ»¼஺6.ᵫᳫ☢X?+)/+j=1PᡂḄ%¹ºJ᜛=2+)/Ḅᳫ☢Ḅ»¼஺7.´µ¶ᱥ☢=x2+y2y☢z=l(x>0,y>0)ᡠPᡂḄᱥḄ»¼(¹ºJp=x+yKz8.ᵫᙊ┵☢z=l-Jx2+y2À☢z=0ᡠPÁḄGÂ(¹º᜛=1)஺9.ᵫ´µ¶ᱥ☢2=y+>2À☢z=lᡠPÁḄGÂ(¹º᜛=1)஺10.ÄJR,ÅJ/?,¹º᜛=1Ḅᙳᒴᙊ%²ÈÂÉÊËÌzḄ³ḄµÍμ஺11.ÄJR,ÅJ/?,¹º0=1Ḅᙳᒴᙊ%²ÈÂÉᚖiËÌzḄ³µÍÐḄµÍÎ

37¼஺12.<ᱥÑᵫÒÄᔜJRÔr(O

38:⚪13—11.!<=>«)="+//+/஽7ḄC%DECḄᑗ=GH☢x+2y+z=4஺2.!<=r(f)=e'cosO+e'sin4+e'4ᙠf=0ᜐḄᑗ=ST☢UV஺cPY3.XY-=(Psinr-ecosr)x7?,ᐸ%P,Q.Aᙳ_ᔣa%!bᦪX஺)஺dr4.•fCg_hijᙠᙊᕜr=஻e«)7no%ᐸᙊbᦪ஺pqᐸrijv2t=ߟ-z-r%aᐸ%uijuḄv஺1r2n5.xr=-osina+஻cos஺+/?z%!S=/J(rxr')d஺஺:⚪13—21.ᢣ|}ᑡᦪaᡠᙠḄ%ᢣ|ᐸ☢1.z(1)u=----------------(2)u=arcsin—Ax+By+Cz+DJ.2+.2222.!ᦪau=X+yCM(1,1,2)Ḅ☢UV஺z3.!ᦪa“=IniHw=lḄ☢%ᐸ%rr—[(x-a)2+(y-.)2+(z-c)?஺:⚪13—31.!Jj/—y2)d“‘ᐸ'Lᱥ=y=%27C°(0,ᑮCA,4)Ḅi஺0)(22.!jydx,ᐸ%Lᵫ=x=0,y=0,x=2,y=4-ᡂḄᢥ⌮┐UᔣGḄ¡¢£¤஺3.!xydx4-(y-x)dy,¥<=J(o,o)(1)y=x\(2)_y=x2(3)y2=x\(4)y=x3o4.!Jydx+xdy,ᐸ%Lᙊᕜx=Rcosf,y=Rsin/ᵫ%]=0ᑮᓃ=]•Ḅ஺5.!%ydx+zdy+xdz%ᐸ%><=x=஻cosf,y=஻sin/,z=b%7ᓃ=0ᑮ

39t=2«Ḅ<=஺26.J(y2+z2)dx+2yzdy-x2dz%ᐸ%><=x=%,y=",%=p7®=°ᑮrt=1Ḅ<=஺27.!jxdᡀ+ydy+(x+y-l)dz%ᐸ%fC(1,1,1)ᑮC(2,3,4)Ḅ=஺8.±²³<=´ᑖ%P(x,y)dx+Q(x,y)dyᓄᡂ•³<=´ᑖ%ᐸ%L¥ᱥ=y=%2C(o,o)ᑮC(1,1)Ḅ<=஺9.±²³<=´ᑖ>Pdx+Qdy+Rdzᓄ³<=´ᑖ%ᐸ%><=X=f,y=J,z=f37·Hf0¸ᑮ1Ḅ<=஺:⚪13—41.ᵨGreen»¼½<=´ᑖ%yjx2+y2dx+y[xy+ln(x+yjx2+y2)]dyᓄ¾¿=Lᡠ-ᡂ஺7Ḅ²À´ᑖ%ᐸ%LÁ⌮┐Uᔣ%Â஺ÃᒹÅÆC஺2.ᵨGreen»¼ÇÈ<=´ᑖ§(x+y)dx-(x-y)dy,x2y2ᐸ%Lᢥ⌮┐UᔣÊᙊ(+4=1ᕜḄ¤Ë஺a2b23.ÇÈ<=´ᑖI=(ersiny-tny)dr+(excosy-m)dy0JANOᐸ%AROᵫCA(஻,O)ᑮCo(o,o)Ḅ78ᙊᕜ—+/=aXo4.ᑭᵨ<=´ᑖÇÈ΢=R=“os3f,y=஻sin3z(0«T2;r)ᡠ-ᡂḄÑ¢Ḅ☢´஺5.Òp¥ᑖᐝÔḄÕÖפḄ<=´ᑖ§(p(x)dx=i//(y)dy=0,ᐸ%e(x),Ø(y)ÙÚbᦪ஺

406.Òp¥ᑖᐝÔḄÕÖפḄ<=´ᑖJJ(xy)(ydx+xdy)=O%ᐸ%f(xy)ᐵH¸au=xyᨵ▤ÙÚÝÞᦪ஺7.pqf)T"²¥àáLḄâãCᨵᐵäáᡠåḄ¤Ëzᐵ,ᐸ%LÃyæ%!஻X<=´ᑖ_/(i2)ydjc_xdyJ(2,l)2xḄ஺8.iiffl£(x4+4x)-3)dx+(6x2y2-5y4)dyàáèḄâãCᨵᐵäáᡠåḄ¤Ëzᐵ%!<=´ᑖr(3,o)4a0nAI=(x4+4xy)dx+(6x~y~-5y4)dyḄ஺9.éᡝᙠᙶ᪗æ7ḄᢗìX=x+y2,y=2x)%-8,ᵫEé᪀ᡂé%pqfCᙠîᑁðo%éᡠñḄòá¤Ëzᐵ஺10.xᙠ8☢x>0ᨵéô=-á(K+ö)᪀ᡂé%ᐸ÷_ᦪ%r=ylx2+y2«prqᙠîééᡠñḄòáᡠå¤Ëzᐵ%äàáâãCᨵᐵ஺II.Òp}ᑡô஺,)0ᓃ+஺(ø>)€1úᙠ᦮)ü0y☢ᑁýbᦪ஻(ᑍ,ÿ)Ḅᐰᑖ᪵Ḅᦪw(x,y)(1)(x+2y)dx+(2x+y)dy(2)2xyd+x2d)»(3)4sinxsin3ycosxdx-3cos3ycos2xdy(4)(3x2y+8xy,2)dx+(x3+8/y+12ye)')dy(5)(2xcosy+ycosx)dx+(2ysinx-xsiny)dyo)⚪13—51,-JJx'dydz,ᐸ/,S01ᳫ☢——++4=1(x20)Ḅ7ᑖ81ᳫ☢Ḅ᜜:0sIEo2.,-2y2zdxdy,ᐸ/50ᳫ☢=2+y2+/=R2Ḅ?@7Ḅ?:஺53.B-C(ᐗ+y+z)dxdy+(y-z)dydz,ᐸ/S0Eᙶ᪗☢HI☢x=1,y=1,z=1

41JᡂḄLMN⊤☢Ḅ᜜:஺4.PQRST☢UᑖJ1W஺,y,z)dydz+Q(x,y,z)dzdx+R(x,y,z)dᡀdyᓄ0QST☢sUᑖ(1)5[I☢3x+2y+2j.=6ᙠQᓶ▲Ḅ7ᑖḄ`:(2)S[bᱥ☢d=8-஺2+e2)ᙠ=஺),I☢`MḄ7ᑖḄ`:஺)⚪13—61.fᵨSlokesjk,-?ᑡTmUᑖ(1)J(y-z)dz+(z-x)dy+(x-y)dz,ᐸ/ᔆ01ᙊ/+/=஺2R+)Jrab=l(a>0,s>0),tu/vLᔣxyz:|1ᙊ8⌮z┐Mᔣ(2)ᔆ2yd+3xdy—Edzᐸ/1[ᙊᕜ+)”+j=9,z=0tuzvLᔣxy8⌮z┐Mᔣ஺2.fᵨO-Gjk,-?ᑡT☢Uᑖ(1)ὡ*2-yz)dydz-2x2)dzdx+zdxdy,ᐸ/S[ᵫI☢1=a,y=a,z=஻HEsᙶ᪗☢JᡂḄLMN⊤☢᜜:3ு0)(2)ᨵxdydz+ydzdx+zdxdy,ᐸ/S0ᳫ☢k+y?+z?=R?Ḅ᜜:s(3)ᐭ3dydz+y3dzdx+z?dxdy,ᐸ/S0ᳫ☢x?+)/ᓝ^2=Ḅ᜜:஺s)⚪13—71.fᵨMᔣᦪjk0ᙠ|Mᔣ`ḄᢗMᦪ஻=+”+”ᙠ¡M(l,2,3)ᜐ¤ᐸᔣ¥MᔣḄMᔣᦪ஺2.ᦪu=x2+2y2+3z2+xy+3x-2y-6zᙠ¡Ml(0,0,0)¦᜜(LLDᜐḄ©xMᔣª«஺ᙠ¬¡ᜐḄ0®3.¯°஻[mឋᦪu=or+by+cz+dḄᐙᑖµ⌕ᩩ¸[grad”[ºᔣ஺4.¯°ᦪ஻=஻(M)¤»¼☢`½TmḄMᔣᦪ¾»¿®஺)⚪13—81.ÀᔣA=yzi+R+xyk0(1)ÂᙊÃX2+y2<^2(0

42É2ÊËÂÌᙊÃNᐰ⊤☢ḄÇ஺2.divAᙠÎÏ¡ᜐḄ¼(I)4=/1+>3/+234ᙠÑ(1,0,_1)ᜐ(2)4=4Ó2Ô/+224ᙠÑ(1,1,3)ᜐ(3)A=xyz(xi+W+Ö)ᙠM(L3,2)ᜐ஺)⚪13—91.ᔣA=-yi+×+ؤ?ᑡTmLᔣḄÙ(1)ᙊᕜ+y2=R2,Z=0(2)ᙊᕜ஺-2)2+y2=R2,Z=O02.ᔣA=xyz(i+J+fc)ᙠ¡M(l,3,2)ᜐḄÛ஺3.ÜÑᔣA=P(x,y)i+Q(x,y)j,roiA஺)⚪14—1᪷ßàᦪᦈâ¦ãᦣḄÏåᑨÏç.ᑡàᦪḄâᦣឋ:00_________00i.+1-஺(2n-1)(2஻+1)n=lW=10000.H7C3.sin——3-Zn(n4-1)(/1+2)Z71=16n=l)⚪14—21.ᑨÏ?ᑡàᦪḄâᦣឋ:_8è—᱄1111(1)9+9293+1(2)—I------1—H---------369121!+2!+3!+4!+•••18182]183)++Tî…஺692.¯°᝞ñᦪᦈâW?஻ãᦣòóàᦪ+ôÊãᦣ஺n=\஻=1஻=1

43)⚪14—31.ᑭᵨö÷ᑨøᑨÏ?ᑡàᦪḄâᦣឋ:ù1(2)y8—1J—8tÉIÊú2஻-1—("+1)(«+4)ব£n,1=1஻\81(4)-cos—É5Êy—É஻ýÉÊÊ(6)V-L.Iú1+“"£ln஻2.ᑭᵨᑨᑨᑡᦪḄᦣឋ,ஹ+28cn,ஹ62”•'1!ு-----ফ(3)>------nn஻=1o«=1஻71ভᱏ.ম0ntan——42n3.ᵨ᪷ᑨᑨᑡᦪḄᦣឋ:nnফyঝ!~1~(1)2஻+1tr(in(«+i)rQ0(4)஻=|1஻+An00(5)Zᐸ?%AB8!,஺EF஻ᙳHIᦪJbwa஺/»=14.ᵨ〉NḄOᑨP.ᑡᦪḄᦣឋ:81Q03”•n\(1)y—(A>0,/?>0)(2)z”=100(4)>2nsin—4(5)n=l°V⚪14—4ᑨᑡᦪḄᦣឋ᝞YZᦈḄᢣ]Zᩩ_ᦈ`Zabᦈ:

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50(1)x2ydx-(x3+y3)dy=0(2)x+ycos—ydx-xcos—dy=04XX(3)xy'_y=xtan(4)xyr-y=(x+y)Inx+yXx2.ᑡᑖᡠᩩḄᱯ:*'+,'2,⋰=2./஺,=τ(1)yr=—+yপ=2yx(3)xyr=y/x2-y2+y,y(l)=lr(4)x(lnx-Iny)y=y,y(l)=13.ᑡᑖḄ(.)ஹ2y—2y—x—2(1)y'=2(2)y=x+y-i)x+y+4dy1(3)(3y-7x+7)dx+(7y-3x+3)dy=0(4)dxx+y-16⚪17—41.ᑡᑖḄ()/ஹ2dy0x(1)cosx——+y=tanx(2).7==dx-(3)x2y'-y=x2ex(4)xy1+y=sinxo2.ᑡᑖᡠᩩḄᱯ:dyB+2-3x2(1)—:——ytanx=secx,y(0)=0y=l,yপ=0dxdxx3<3)<--@y=2(x-2)2,y(l)=-2(4)--6/=-10sin2f,Z(0)=-x-2dt23.CDEḄᑗEᙠHIḄJKLMNᑗOḄPᙶ᪗STU☢DEḄ஺dy2dy2(1)--+y=y(cosx-sinx))(2)——3xy=xy:dxdx(3)y'+2xy+xy4=06/(4)Cdy123dxxy+xy-5.XᦪZ᧕\]^_C`ᑖḄḄXᵨ\bC஺c\]ᡃeCfC▤Eឋijk*2,Ḅ(lSᑣnoC▤Eឋᓅij*1,Ḅqrs*2,Ḅ(tḄXᦪ஺ᣚᡂwxyfzᦪC*x,|}ᑮSᓽ*1,ᨵ᝞-[p(x)dxy=C(jv)eḄ஺ᵨ\^_C▤Eឋij*1,Ḅ஺

516⚪17—51.ᑡᑖ:(1)2xydx+(x2-y2)dy=0(2)2x(1+y)x2-y)dx-^x2-ydy=0(3)e-Sdx-(2y+xe-))dy=0(4)(1+/sin2x)dx-ycos2xdy=0(5)—dx+(y3+lnx)dy=0x(6)+2x)J+S)dx+()S"+22)S+Sdy=0xdv—vdx(7)xdx+ydy+---------=0(8)(xcosy+cosx)yz-ysinx4-siny=0ox2+y22.ᵨḄ\SᑡḄ•ᑖSᯠl)(1)(x+y)(dx-dy)=dx+dy(2)(x2+y2+2x)dx+2ydy=0(3)a(xdy+2ydx)=xydy(஻w0)(4)y(2xy+ev)dx-evdy=0o6⚪17—61.ᑡᑖḄ()(1)y"='y'(2)y"=yS+xX(3)yy"-(y')2-y2y'=0(4),\”C1=0஺2.ᑡᑖᡠᩩḄᱯ)(1)yn-a(y,)2=0,y(0)=0,yr(0)=-l("0))(2)y஻+(V)2=l,<0)=0,/(0)=03(3)(l+/)y"=2.:y(0)=1,"0)=3஺3.¡ᨵ•¢£¤mḄᱥ§Sᙠ¨©tᵫ☟¬®S᝞¯¨©°±¤/?=42r2,ᐸt´¤ᱥ§µ¶·¸S¹¤CXᦪSᱥ§®ḄKºs»¼½fḄzᦪᐵÀ஺6⚪17—81.ᑡᔜᑖḄ()(1)y"+9y'+20y=0(2)yn,—y=0(3)y"-7y'+\2y=5(4)2y"+y'-y=2e'(5)yn+a2y=eA(6)2y"+5y'=5x2-2x-1(7)yn+3yf+2y=3xe~x(8)yn-2y'+5y=evsin2x(9)y"+y=e'+cosx)(10)yn+y=(2x2-3)+4sinx2.ᑡᔜᑖÄxᩩḄᱯ:(1)y஻+2y'+y=e-x,y(0)=0,y'(0)=0;

52(2)yN-3y+2y=e3v,y(0)=1,y'(0)=0)(3)yn+y=-sin2x,y(7r)=1,y'(%)=1(4)y'஻+3y"+3y'+y=l,y(0)=y'(0)=y஻(0)=0஺6⚪17—9ᑡEulerḄ()1.x~yn+xy'-y=0)2.x2y"-4xyf+6y=x3.x2yn-xy'+2y=xlnx4.x3y1'"+2xy'-2y=x2lnx+3x<,6⚪18—11.ᵨᦪᑡ᩽▲ḄxËÌÍ:(TÏ1(3)lim^—=3(1)lim——=0(2)lim(l--—)=1n-x»஻n->oc2..2஻—1„(4)lim—=0(5)hm------=0(6)limqn=0஺஻-83஻/9஻+7஻T82.ᵨᦪᑡ᩽▲ḄxËÌÍᦪᑡÕ(-1)"Ö×ᦣ஺3.¡“>0,ᵨᦪᑡ᩽▲ḄxËÌÍ᩽▲limÚ=1஺஻T84.ᵨᦪᑡ᩽▲ḄxËÌÍᦪᑡ᩽▲ḄᜳÜÝᑣ஺5.Þßà\»ᦪᑡÕ““Ö᩽▲]4ḄxË]ᔲMâSãàÍᳮᵫ஺(1)åNæçxḄ£>0,éᙠê᦮ᦪN,í}î“2N¼Sᨵ(2)éᙠê᦮ᦪN,åæçxḄ£>0,í}î"NN¼Sᨵ(3)åNæçx£>0,éᙠïᦪᔊSí}î"2M¼Sᨵlw“-AI<£(4)åN0<€<1,éᙠê᦮ᦪN,í}î஻>N¼Sᨵ(5)åNæçxḄ£>0,ᨵê᦮ᦪNí}î஻>"óᨵ1"“-AI00/(x)->+oof(x)f-00D£>0Jb>0,Xf%0<1x-x0l

53VM>0,3X>0Xf8lxl>XWl/(x)\>Mj->4-00X—>-002.ᵨ$ᦪ᩽▲Ḅ():(I)lim^^=2(3)lim-J~x=4a(«>0)alim9:4<(4)limcosx=cosa(5)(6)lime'=0஺x->aAT௃X-lA'->-003.ᵨ$ᦪ᩽▲Ḅ()ᑡF⚪:(1)᝞Ilim/(x)=A,limg(x)=B,ᑣlim"(/)+g(x)M=A+8XfX஺A->.r0X->X()(2)᝞Ilim/(x)=4,limg(x)=5,(8w0),ᑣX->00XT8fWArlim----=—oXT8g(x)B4.ᵨHineᳮ()$ᦪ᩽▲ḄTᑣUVWᑣ஺5.()᩽▲limxsinxXYᙠ஺XT+8[⚪19—11.ᑏ]^ᔜᦪ`Ḅaஹcd(1)E=ux\a)aᨵd஺XT+co2.m/*)ᙠ3,6)alim/(x)=A,lim/(x)=5,A<8,IJV஻£(A,5),x->a+x->b~

543xe(a,b),/*o)=஻஺03.m/(x)ᙠ஻,a᝞I£஺,ᦪᑡ&”}ᦈ,lim஻4)=//,():KT+O03xe(a,b),/(¡())=஻஺04.ᵨu¢£((1)y=x2ᙠ0,2Mau¢;(2)y=x+sinxᙠ(-8,+8)au¢஺5.q/(x)ᙠa,+8)alimf(x)=A,()/(x)ᙠ(a,+8)au¢஺[⚪20—11(x¦ᨵᳮᦪ)1.m/«=-1(X¦kᳮᦪ)()l/(x)lᙠ§¨©,aª«¬/(x)ᙠ,®aXª«஺2.¯°i☢Ḅ$ᦪᙠ²³atᔲª«஺প/(x)=xMA-€wa,bx<0(x=0)ফ/(x)=111xelOJJ—\--------

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56j+°°dx(1)(2)1F+]h1+xH2(1X'(lnx)3'(4)[Jdx஺J஺Vsinx2.ᵨᔆ-ᦪᡈ3-ᦪ⊤Y?ᑡBᑖ:'+0°,20(1)fx"e"/,dx(/z0,n>0)H(2)e-xdx(n>0)0r1dx(3)-071-%,/4⚪22—21.6?ᑡᦪḄ᩽▲2p+t1(1)limycos(xy)dvHফhm-----z----7dyo▲TOJOioJx1+x2+y2r^ln(l+xy)2.᜛(x)=J0dy,hi/(x)0y3.F(y)=&1(x+W(x)dx'ᐸm/(x)nopᦪq6r(y)஺7C4.hiBᑖ/=(2ln(cos2x+a2sin2x)dx(a>0)஺Jo5.3ᐗᦪ/*)ᙠ&஻,ᑗ)xyq61ᦪy(mf(t)sink(x-t)dt(c,xe[a,b])z{pᑖ|}y"+k2y=f(x).⚪22—31.~ᑡBᑖᙠᢣ$%)3/ᦈ+r+CO2(1)L(t)=e-tvdxrG[r,+oo),/>0H00*o,+8(2)L(Q)=e~axcos^dxae[cr,4-co)«>000oJor+co22.hiL(a)=e-AcosaxdxoJof+ooQ_x_Q~^x3.hiBᑖL=-~--dx஺Jox4./r>0xyq᝞,஻/(r)dr/t=a"=bᦈ+஺1ᦪJoL(Z)=஻/(r)drᙠ[a,)3/ᦈ+஺

57