3.89 Integrals 8801 to 8900

  3.89.1 e2(55x)+10x5x2e2x+x2dx
  3.89.2 2e3+3xxlog(4)+e2x(6x6x2)log(4)27+27e3+x9e6+2x+e9+3xdx
  3.89.3 ex(1x2log(4x)+log2(4x))(6+3x2+(6+6x)log(4x)3xlog2(4x))xx22xlog(4x)+xlog2(4x)dx
  3.89.4 60x2+40x38x4+x5+e4(x3x4)+(44x+60x218x3+2x4+e4(2x22x3))log(1+x)+(16+24x9x2+x3+e4(xx2))log2(1+x)16x3+24x49x5+x6+(32x2+48x318x4+2x5)log(1+x)+(16x+24x29x3+x4)log2(1+x)dx
  3.89.5 4log(12(5+log(4)2log(log(1+log(x)))))(5x+xlog(4)+(5xxlog(4))log(x))log(1+log(x))+(2x+2xlog(x))log(1+log(x))log(log(1+log(x)))dx
  3.89.6 (14472x26x39x4)log(4)+(6420x2+6x33x4)log2(4)144x2+72x4+9x6+(384x288x2192x3144x424x518x6)log(4)+(256+384x+272x2+192x3+88x4+24x5+9x6)log2(4)dx
  3.89.7 ex(1x)+x2x2dx
  3.89.8 ex(e5x4x2+4x3)8x2log(4)dx
  3.89.9 (32+32x32x232x3)log3(1+x)+(6x56x7)log3(1+x2x)+(30x3+12x4+42x5+12x6+12x7)log(1+x)log3(1+x2x)+(60x260x360x460x5)log2(1+x)log3(1+x2x)(x+x2+x3+x4)log3(1+x)log3(1+x2x)dx
  3.89.10 16x4log2(5)+(16x3log2(5)+(4x2+32x4)log2(5)log(x))log(log(x))+((4x2+48x3)log2(5)log(x)+8x2log2(5)log2(x))log2(log(x))+((4x+16x2)log2(5)log(x)+(1+4x)log2(5)log2(x))log3(log(x))3xlog(x)log3(log(x))dx
  3.89.11 ex3x4+(x+x4)log(4+4x)3+log(4+4x)(3+7x+36x3+36x4+(2+2x24x324x4)log(4+4x)+(1x+4x3+4x4)log2(4+4x))9+9x+(66x)log(4+4x)+(1+x)log2(4+4x)dx
  3.89.12 8x6x22x3+(8x2x2)log(4+x)+eexx2log(1+x+log(4+x))(4+3x+x25x3x4+ex(4x+3x2+x3)+(4+x+ex(4x+x2))log(4+x)+(8x26x32x4+(8x22x3)log(4+x))log(1+x+log(4+x)))4x23x3x4+(4x2x3)log(4+x)+eexx2log(1+x+log(4+x))(4x+3x2+x3+(4x+x2)log(4+x))dx
  3.89.13 1536x97424x10+400x12+(1536x77424x8320x9+440x10)log2(16)+(576x52784x6160x7+157x8)log4(16)+(96x3464x420x5+22x6)log6(16)+(6x29x2+x4)log8(16)2304x8+44544x9+194560x10198048x11+69856x1210800x13+625x14+(2304x6+44544x7+195520x8189008x9+63216x109220x11+500x12)log2(16)+(864x4+16704x5+73680x667482x7+21374x82942x9+150x10)log4(16)+(144x2+2784x3+12340x410680x5+3200x6416x7+20x8)log6(16)+(9+174x+775x2632x3+179x422x5+x6)log8(16)dx
  3.89.14 e36x2120x3+100x4(72x360x2+400x3)dx
  3.89.15 e256x+32x2x3(2+2x+2e2xx2+ex(4x+x2x3)+(512x128x2+58x33x4+e2x(512x3+128x46x5)+ex(1024x2+52x43x5))log(2x+x2+2exx22+2exx))2x+x2+2e2xx3+ex(4x2+x3)dx
  3.89.16 2x+x22log(ex2)log(log(ex2))log(log(log(ex2)))+(1+x2)log(ex2)log(log(ex2))log2(log(log(ex2)))x2log(ex2)log(log(ex2))log2(log(log(ex2)))dx
  3.89.17 elog(x)log(x2)5x+x3+ex2log(x2)((10x+2x3)log(x)+(5x+x3+(5x3x3)log(x))log(x2)+(ex22ex2x2log(x))log2(x2))25x3+10x5+x7+ex2(10x2+2x4)log(x2)+e2x2xlog2(x2)dx
  3.89.18 2+x+((12+7x)log(3)+(127x)log(x))log(log(3)+log(x))(256x7+256x864x9)log(3)+(256x7256x8+64x9)log(x)dx
  3.89.19 5log(x)+(10+(15+x2)log(x))log(2x)5log(x)log(2x)log(xlog2(x)log(2x))x2log(x)log(2x)dx
  3.89.20 71+96e280e4+32e68e83x+3x2x31+3x3x2+x3dx
  3.89.21 eex+x2x3log(2+e3/2)log(4+2x)(exxx3+(2x2x3+ex(6x+x2))log(4+2x))(2x4+x5)log(2+e3/2)log2(4+2x)dx
  3.89.22 (20x996x2+11900x3+12380x4+4992x5+1000x6+100x7+4x8+ex2(40+1992x23800x224760x39984x42000x5200x68x7))log(2x2)+(5x5x2+3225x3+3165x4+1254x5+250x6+25x7+x8+ex2(508x12380x213516x3+6896x4+11380x5+4892x6+996x7+100x8+4x9))log2(2x2)3125x3+3125x4+1250x5+250x6+25x7+x8+e2x2(12500x+12500x2+5000x3+1000x4+100x5+4x6)+ex2(12500x212500x35000x41000x5100x64x7)dx
  3.89.23 16+x24ee9x2192x396x44x2dx
  3.89.24 12+3e1+x+6x+6xlog(3)+15log(x)e1+xx+x2+x2log(3)+5xlog(x)dx
  3.89.25 e1e4+ee4+x2(1+2x2)x2dx
  3.89.26 12x3+60x4108x5+84x624x7+(144x2+384x3576x5+336x6)log(2)+(576x+2304x31728x5)log2(2)+(7683072x+6144x3+3840x4)log3(2)+(30729216x9216x23072x3)log4(2)12x4+8x512x6+8x7x88x9+28x1056x11+70x1256x13+28x148x15+x16+(32x3+64x464x6+64x7192x8+448x9448x10+448x12448x13+192x1432x15)log(2)+(192x2+384x4+256x61792x7+1792x8+1792x94480x10+1792x11+1792x121792x13+448x14)log2(2)+(512x1024x2+1024x4+4096x57168x67168x7+21504x821504x10+7168x11+7168x123584x13)log3(2)+(5122048x3072x22048x3+17408x471680x6+107520x871680x10+17920x12)log4(2)+(57344x3+114688x4114688x5344064x6+344064x8+114688x9114688x1057344x11)log5(2)+(114688x2+458752x3+458752x4458752x51146880x6458752x7+458752x8+458752x9+114688x10)log6(2)+(131072x+786432x2+1835008x3+1835008x41835008x61835008x7786432x8131072x9)log7(2)+(65536+524288x+1835008x2+3670016x3+4587520x4+3670016x5+1835008x6+524288x7+65536x8)log8(2)dx
  3.89.27 ex(1111x+5x2+8x3+(11+11x8x2)log(4))10x2dx
  3.89.28 16+48x+48x2+16x3+e4(16+16x+72x2+56x3+16x4)+e8(420x+16x3+13x4+3x5)+(e4(8+24x+24x2+8x3)+e8(4+4x+18x2+14x3+4x4))log(4)+e8(1+3x+3x2+x3)log2(4)e8(1+3x+3x2+x3)dx
  3.89.29 (256x5+e1+x2x2+2log(5)2x(24x24log(5)))log3(e1+x2x2+2log(5)2x16x4)e1+x2x2+2log(5)2xx216x6dx
  3.89.30 60x436x5+40x6+e6(1220x+8x2)+e3(72x2+56x348x4)+(240x4160x5+144x6+e3(144x2+128x380x4))log(3x)+(360x4264x5+192x6+e3(72x2+72x332x4))log2(3x)+(240x4192x5+112x6)log3(3x)+(60x452x5+24x6)log4(3x)3+xdx
  3.89.31 20e3x5e3+1e4x+x2xx+e3+1e4x+x2x(5+5x2)log(x2)+5x2log2(x2)x2log2(x2)dx
  3.89.32 e3x+2x212log(5)72log(x)xdx
  3.89.33 50+50x50x250x3+6x418x5+18x66x7+(50x18x3+36x418x5)log(x)+(18x218x3)log2(x)6xlog3(x)e2+2x(x4+3x53x6+x7)+e2+2x(3x36x4+3x5)log(x)+e2+2x(3x2+3x3)log2(x)+e2+2xxlog3(x)dx
  3.89.34 e4e75(1+(12e4+e75x)log(x))xlog(x)dx
  3.89.35 2+2e25e2+2log(x)e50e2+2e25e2log(x)+log2(x)dx
  3.89.36 800x+80e2xx2e4xx+(800+80e2x800x2+e4x(2+2x2))log(x)+(800+1600x+2400x2+e2x(80320x400x2160x3)+e4x(2+12x+14x2+8x3))log2(x)+(675+2400x+2400x2+1600x3+e2x(160400x480x2320x380x4)+e4x(6+14x+18x2+12x3+4x4))log3(x)25log3(x)dx
  3.89.37 19(790x2180x3+(90x270x2)log(x)90xlog2(x))dx
  3.89.38 3052x+(6+13x)log(12(613x))6+13xdx
  3.89.39 eex(147x)2xx+x(14+14x+7x2)x2dx
  3.89.40 (19x12x2+12x3+4x4)log(x)+(20+8x+4x2)log2(x)+(4x+4x2)log3(x)+4log4(x)+(80+32x+16x2+16log2(x))log(log4(x))+((4x+4x2)log(x)+4log2(x))log2(log4(x))+16log3(log4(x))xlog(x)dx
  3.89.41 4884x+32x260x3+ex(9x11x2+4x3+15x5)x5dx
  3.89.42 12log(181+x)81+xdx
  3.89.43 ex(4exx4x5+(2xx2)log(e42x+e3xx5xx))dx
  3.89.44 2+8x+8x2+(28x8x2)log(x)+4xlog2(x)xlog3(x)dx
  3.89.45 1764x+ex(3+588x3x2)+(9x3exx)log(x)e2xx+6exx2+9x3dx
  3.89.46 2exxxdx
  3.89.47 e44+e(168x)+38x+13x2+(8+4x)log(x)8+4x(16+48x+56x2+13x3)16x+16x2+4x3dx
  3.89.48 e3/x(3+x)xe4x8x2xdx
  3.89.49 1625(40e10x+eex+11x(444ex)+e2ex+12x(122ex))dx
  3.89.50 ex16e2+2e3x232e2+2e3xlog(3x)16e2+2e3log2(3x)(x+e2+2e3(32x32x2)+e2+2e3(3232x)log(3x))xdx
  3.89.51 xe5+e5xxxdx
  3.89.52 eexx2+eexx2(4ex+exx2+x2)4x(5x2+ex(10x45x5)+eexx2(20x+ex(20+20x)))4x3dx
  3.89.53 2e10dx
  3.89.54 (3+eeee2ex4+2eex5+x6+x(2ex+eee2ex4+2eex5+x6+e2ex4+2eex5+x6(4e2e+xx310ee+xx46exx5)))dx
  3.89.55 2x2log4(2)log4(2)dx
  3.89.56 617025600524471760x623591460x2+611580105x3211803255x4+37236375x53533625x6+172125x73375x8+e3x(12575x125x2+75x315x4+x5)+e2x(6390047565x63225x2+46065x311475x4+1215x545x6)+ex(108799208987112x10753785x2+9244827x32756547x4+390825x526325x6+675x7)729000000x2+619650000x3212017500x4+37236375x53533625x6+172125x73375x8+e3x(125x2+75x315x4+x5)+e2x(67500x2+46125x311475x4+1215x545x6)+ex(12150000x2+9315000x32757375x4+390825x526325x6+675x7)dx
  3.89.57 (14+e2x+x2(1+2x2x2))dx
  3.89.58 ee2x2x+x2+log(53)x(4e2x2+x3xlog(53))x3dx
  3.89.59 22x+(1x)log(x)+(25+x+xlog(x))log(25+x+xlog(x))2549x+23x2+x3+(x2x2+x3)log(x)dx
  3.89.60 ex(3+3x19x210x3)954x+21x2+180x3+100x4dx
  3.89.61 256e8+2x2656x31681x4+e4+x2(256x+1312x2+512x3)256e8+2x2x1312e4+x2x3+1681x5dx
  3.89.62 192+88x+9x2+e(9648x6x2)128x4+64x5+8x6dx
  3.89.63 (2x24xlog(2)+2log2(2)+(3x24xlog(2)+log2(2))log(x2log4(3))+(12x+12log(2))log(x3)log(x2log4(3))+12log3(x3)log(x2log4(3))+log4(x3)(2+log(x2log4(3)))+log2(x3)(4x+4log(2)+(4x+2log(2))log(x2log4(3))))dx
  3.89.64 (5ex+eex2x3+e2x(1+x)x2x3+e2x(1+x)(2x3x2+e2x(3+2x)))dx
  3.89.65 e2x+2x2+x3+xlog(x2e3)(4+4x+3x2+log(x2e3))dx
  3.89.66 9+288x2+(6192x2)log(x)+(1+32x2)log2(x)+e153log(5)+5log(x)3+log(x)(144x224x2log(5)+96x2log(x)16x2log2(x))+e2(153log(5)+5log(x))3+log(x)(18x2+6x2log(5)12x2log(x)+2x2log2(x))9x6xlog(x)+xlog2(x)dx
  3.89.67 31+ex2(25+6x+50x2)+(2+2ex2x)log(e2)9+150x+625x2+(6+50x)log(e2)+log2(e2)dx
  3.89.68 4e5x+e24x+(4e5xx+e24xx)log(x)+(e24x(95x+19x2)log(x)+19e24xxlog(x)log(log(x)))log(5xlog(log(x)))e5x(5x+x2)log(x)+e5xxlog(x)log(log(x))dx
  3.89.69 e1400x5+(2000x4+400x5)log(x)(5+4x+(205x)log(x))200x7+(2000x6400x7)log(x)+(5000x5+2000x6+200x7)log2(x)dx
  3.89.70 1+(3+5x4)log2(2)+log2(2)log(x1+1log2(2))log2(2)dx
  3.89.71 e5e(1+2e5+ex)dx
  3.89.72 e78+56x13x2+x3+ex(16+8xx2)(55+82x29x2+3x3+e3(5626x+3x2)+ex(814x+7x2x3+e3(8+6xx2)))dx
  3.89.73 900+1194x+1272x2+955x3+378x4+71x5+5x6144x2+168x3+73x4+14x5+x6dx
  3.89.74 (1+ex+x)log(x)+(1exx+(1+2x+ex(1+x))log(x))log(xlog(4))8log2(x)dx
  3.89.75 10+5log(3)+eex+x(10+5log(3))eex+xdx
  3.89.76 13(3+3ex+8x+7xlog(x)+xlog2(x))dx
  3.89.77 412x+ex(8+4x)+8log(x)e2xx32exx4+x5+(2exx32x4)log(x)+x3log2(x)dx
  3.89.78 10020e315x+8x2+ex(10+5x)+(5010e3+5ex5x+2x2)log(5010e3+5ex5x+2x22x)5010e3+5ex5x+2x2dx
  3.89.79 37500000+53750000x32000000x2+9800000x31400000x428000x5+44800x67360x7+544x816x9+(3125000x+3750000x21750000x3+350000x414000x6+2800x7240x8+8x9+(3125000+3750000x1750000x2+350000x314000x5+2800x6240x7+8x8)log(5+x))log(14(x2+2xlog(5+x)+log2(5+x)))+(90000009300000x+3600000x2540000x324000x4+18720x52304x6+96x7)log2(14(x2+2xlog(5+x)+log2(5+x)))+(750000x600000x2+150000x36000x5+960x648x7+(750000600000x+150000x26000x4+960x548x6)log(5+x))log3(14(x2+2xlog(5+x)+log2(5+x)))+(720000+456000x76800x25760x3+2688x4192x5)log4(14(x2+2xlog(5+x)+log2(5+x)))+(60000x+24000x2960x4+96x5+(60000+24000x960x3+96x4)log(5+x))log5(14(x2+2xlog(5+x)+log2(5+x)))+(192004480x512x2+128x3)log6(14(x2+2xlog(5+x)+log2(5+x)))+(1600x64x3+(160064x2)log(5+x))log7(14(x2+2xlog(5+x)+log2(5+x)))(5x+x2+(5+x)log(5+x))log9(14(x2+2xlog(5+x)+log2(5+x)))dx
  3.89.80 (e4xlog(4)+2e4xlog(4)log(x))dx
  3.89.81 1600e4x+(160x200e4xx)log(x)+(160x+e4x(200x+400x2))log2(x)16+40e4x+25e8xdx
  3.89.82 e5+e2x(6+e16+x(9+9x18e2xx)+e16+x(33x+6e2xx)log(x2))+e5+e2x(9+18e2xx+(36e2xx)log(x2))log(3log(x2))3e32+2x+e32+2xlog(x2)+(6e16+x2e16+xlog(x2))log(3log(x2))+(3+log(x2))log2(3log(x2))dx
  3.89.83 4x22x32x5+e17(4+6x+10x28x36x5+2x6)e17x5dx
  3.89.84 128x2+160x332x4+e5(640x+128x2)+(640x+128x2)log(5+x)320x3176x412x5+7x6+x7+e15(320+64x)+e10(960x48x2+48x3)+e5(960x2288x3+36x4+12x5)+(240x372x4+9x5+3x6+e10(240x+48x2)+e5(480x224x3+24x4))log(2)+(60x33x4+3x5+e5(60x2+12x3))log2(2)+(5x3+x4)log3(2)+(240x372x4+9x5+3x6+e10(240x+48x2)+e5(480x224x3+24x4)+(120x36x4+6x5+e5(120x2+24x3))log(2)+(15x3+3x4)log2(2))log(3)+(60x33x4+3x5+e5(60x2+12x3)+(15x3+3x4)log(2))log2(3)+(5x3+x4)log3(3)+(960x2288x3+36x4+12x5+e10(960+192x)+e5(1920x96x2+96x3)+(480x224x3+24x4+e5(480x+96x2))log(2)+(60x2+12x3)log2(2)+(480x224x3+24x4+e5(480x+96x2)+(120x2+24x3)log(2))log(3)+(60x2+12x3)log2(3))log(5+x)+(960x48x2+48x3+e5(960+192x)+(240x+48x2)log(2)+(240x+48x2)log(3))log2(5+x)+(320+64x)log3(5+x)dx
  3.89.85 125(25+(900+1050x+450x2+100x3+(60+60x+30x2)log(2)+2xlog2(2))log2(9))dx
  3.89.86 1236x4+e2(18x6x2+18x518x6)e2(x2+3x6)dx
  3.89.87 8e2xx+12x2+ex(8x8x2)+(10+6x2+e2x(2+8x)+ex(4x8x2))log(x)+(5+x22exx2+e2x(1+2x))log2(x)x2dx
  3.89.88 13(3+ee3/xx+x2(1+e3/x(3x)+2x2)log(x))dx
  3.89.89 124x3x2+e5x(2+13x)4+e5xxx2dx
  3.89.90 ex(304+152x219x4+e2(304+152x219x4))+e2x(285x2+x4+e2(285x2+x4))57762888x2+361x4+ex(1064x418x3+38x5)+e2x(49x214x4+x6)dx
  3.89.91 (1+e5+e(1+x)+2x(2+e)+ex(1x)2x)dx
  3.89.92 8x5+e8(48+8x+16x2+2x3)+e4(192x80x38x4)8x4+4x6+e8(8+8x+2x24x3+x4)+e4(16x2+8x3+8x44x5)dx
  3.89.93 4e5x2log2(x)+e3e5x2log(x)log(2+e2)(6+12log(x)4e5x2log2(x))+e6e5x2log(x)log2(2+e2)(36log(x)+e5x2log2(x))2e5xlog2(2+e2)log2(x)dx
  3.89.94 2916e4(3+x)3+2x+72x796x8+32x9+e3(3+x)3+2x(1944x5508x2+864x3)+e2(3+x)3+2x(1944x33564x4+864x5)+e3+x3+2x(648x5972x6+288x7)729972x+324x2dx
  3.89.95 (1+e25+e1ex+2x9xx2(9+e1ex+2x(2ex)2x))dx
  3.89.96 e3x(204x+(56+2x4x2)log(7+2x))(17520x13x2+2x3)log2(7+2x)dx
  3.89.97 e3025+6065x+2856x2+58x3174x43x5+9x6+x7+(660+852x+144x260x312x4)log(4)+(74106x24x2+10x3+2x4)log2(4)+(1212x)log3(4)+(1+x)log4(4)3025+1760x184x2238x316x4+8x5+x6+(660+192x48x212x3)log(4)+(7432x+8x2+2x3)log2(4)12log3(4)+log4(4)(166375+91575x+259580x2+126599x3+21533x4+3943x5+2515x6+625x7+17x811x9x10+(54450+30450x+50352x2+9612x32076x4282x5+126x6+18x7)log(4)+(3135863x6232x21926x3+238x4+47x521x63x7)log2(4)+(17641188x720x2+108x3+36x4)log3(4)+(57+9x+60x29x33x4)log4(4)+(18+18x)log5(4)+(1x)log6(4))166375145200x5940x2+26099x3+5712x41320x5485x6+12x8+x9+(5445031680x+3312x2+4284x3+288x4144x518x6)log(4)+(3135+3552x120x2606x348x4+24x5+3x6)log2(4)+(1764+576x144x236x3)log3(4)+(5748x+12x2+3x3)log4(4)18log5(4)+log6(4)dx
  3.89.98 3125000+30625000x124875000x2+269500000x3319025000x4+183897000x522013600x614862680x72972536x9+880544x10+1471176x11+510440x12+86240x13+7992x14+392x15+8x16+(15000x4+63000x582200x6+28560x7+5712x9+3288x10+504x11+24x12+e5(5000x4+21000x527400x6+9520x7+1904x9+1096x10+168x11+8x12))log8(4)3x9log16(4)dx
  3.89.99 e1+x(e1x(1+x3)log(4)+(6x36x4)log(4))x3dx
  3.89.100 ex2+log(182x+log(4)+3log(25))(362x+2log(4)+6log(25)+(182x+log(4)+3log(25))log(182x+log(4)+3log(25)))728x+4log(4)+12log(25)+(728x+4log(4)+12log(25))log(182x+log(4)+3log(25))+(182x+log(4)+3log(25))log2(182x+log(4)+3log(25))dx