3.40 Integrals 3901 to 4000

  3.40.1 e16+6xx2+24x3+9x6x(16+xx2+48x3+45x6)xdx
  3.40.2 8log(x)log(log(x))+(16+8log(2x))log(2log(2x))(2xlog(x)+xlog(x)log(2x))log2(2log(2x))dx
  3.40.3 4x6x33log(4)+(xx3log(4))log(x2+x4+xlog(4)log(4))x+x3+log(4)dx
  3.40.4 490000+7791x+2401x2+(7791x4802x2)log(x)100000000x3180000x2954719x3+15582x4+2401x5dx
  3.40.5 25x15x22x3+(5+27x+15x2+2x3)log(1+5x+x2)(1+5x+x2)log2(1+5x+x2)dx
  3.40.6 1818e9+36x(8000+1200x1140x2119x3+57x4+3x5x6+e27(64+48x+12x2+x3)+e18(960+528x+36x221x33x4)+e9(4800+1680x348x2141x3+6x4+3x5))log2(5)dx
  3.40.7 48+e2ex22(4+e3+x(1+x))+e3+x(12+12x)+eex22(28+e3+x(77x)+ex22(4x2e3+xx2))48x+12e3+xx+eex22(28x7e3+xx)+e2ex22(4x+e3+xx)dx
  3.40.8 3375x2+2025x3405x4+27x5+e2(117+81x)+(9e2+675x2270x3+27x4)log(x)+(45x2+9x3)log2(x)+x2log3(x)3375x2+2025x3405x4+27x5+(675x2270x3+27x4)log(x)+(45x2+9x3)log2(x)+x2log3(x)dx
  3.40.9 200x2+80x3+(50x320x4)log(x)+(400x160x2+(100x2+40x3)log(x))log(x2)+(200+80x+(50x20x2)log(x))log2(x2)+(4xlog(x)x)x2x+2log(x2)(100x85x25x3+10x3log(x)+(100+125x+5x220x2log(x))log(x2)+(40+10xlog(x))log2(x2)+(200+40x+(50x10x2)log(x)+(10020x+(25x+5x2)log(x))log(x2))log(4xlog(x)x))8x2+2x3log(x)+(16x4x2log(x))log(x2)+(8+2xlog(x))log2(x2)dx
  3.40.10 ex+ex(45x3+ex(1510xx3))15+x3(2025x2+675x345x6+ex(150+20x3))22530x3+x6dx
  3.40.11 e126xx2+(4+x)log(4x2)3x+log(4x2)(4+6x+x2+(52x)log(4x2)+log2(4x2))9+6x+x2+(62x)log(4x2)+log2(4x2)dx
  3.40.12 4096x3768x648x9x12+(73728+442368x516096x2446976x318432x4105984x582944x612096x77200x85184x9864x10162x11108x1218x13)log(x)+(73728221184x202752x3142848x413824x541472x617280x7864x82592x9864x1054x1218x13)log2(x)4096x3+768x6+48x9+x12dx
  3.40.13 ex(ex(71+8x)+eex(2x+x2+x3)(22x2+x3))dx
  3.40.14 2+e5+2x(16+24x12x2+2x3)2log(2)8+12x6x2+x3dx
  3.40.15 3232x3136x25856x3135264x4361536x53470656x611342464x760505088x8209432832x9761634048x102431822848x116896916992x1218247276544x1342386477056x1487747545088x15160647395328x16251744145408x17329327366144x18354061008896x19305923072000x20201710469120x2186671294464x224145971200x23+30720819200x24+31082479616x25+18860670976x26+8172208128x27+2618032128x28+614203392x29+100925440x30+10485760x31+524288x32131072x17+1114112x18+4456448x19+11141120x20+19496960x21+25346048x22+25346048x23+19914752x24+12446720x25+6223360x26+2489344x27+792064x28+198016x29+38080x30+5440x31+544x32+34x33+x34dx
  3.40.16 3+4x+6x211x3+(x22x3)log(x)x2dx
  3.40.17 e2+14(9+8x)(160x+152x216x3)10020x+x2dx
  3.40.18 elog2(4+2x)(8+4x+(4+4x)log(4+2x)log(4+8x+4x2))18+27x+9x2dx
  3.40.19 914x+6x2+4x3179x7x2+2x3+x4dx
  3.40.20 3072+4608x1152x2+48x316x4+x5+(192x2+48x3+x5)log(3)+(153696x96x226x3+2x4+(96x+6x3+2x4)log(3))log(25632x+x2+(32x+2x2)log(3)+x2log2(3)x2)+(16x2+x3+x3log(3))log2(25632x+x2+(32x+2x2)log(3)+x2log2(3)x2)16x4+x5+x5log(3)+(32x3+2x4+2x4log(3))log(25632x+x2+(32x+2x2)log(3)+x2log2(3)x2)+(16x2+x3+x3log(3))log2(25632x+x2+(32x+2x2)log(3)+x2log2(3)x2)dx
  3.40.21 2(4+x)log(4+x)log(log(4+x))dx
  3.40.22 (1+e52x)log2(1+e52x)+exlog(1+e52x)(2x2log(3x2)+(xe5x+2x2)log(1+e52x)log(3x2))(x+e5x2x2)log2(1+e52x)log(3x2)dx
  3.40.23 1xdx
  3.40.24 e.85/x(85x)+45x15x3dx
  3.40.25 125(45+5e28x/5+(5+e28x/5(5+28x))log(x))dx
  3.40.26 4x2+e416x+16x2+(4+8x)log(x)+log2(x)(160+272x992x2128x3+(64264x32x2)log(x))x2dx
  3.40.27 10x+2x2+e2x(1+2x)x+(26+e2xx10xx2)log(26+e2xx10xx2)(26+e2xx10xx2)log2(26+e2xx10xx2)dx
  3.40.28 (e5+x+log2(2)log(e325))dx
  3.40.29 1+16x2+4x34x4+(8x+2x26x3)log(x)2x2log2(x)xdx
  3.40.30 16eex+x18eex+9log(3)dx
  3.40.31 50x+e1625e2(9150x+625x2)(50x+e2(6x2+50x3))2550e1625e2(9150x+625x2)+25e2625e2(9150x+625x2)dx
  3.40.32 5x24x3x4+(5x+x2)log(15x)+(56x7x26x3+(57x2x2)log(15x))log(1+x4)400x2+560x3+176x4+16x5dx
  3.40.33 e2(2x3+2x4)46x2+6x3+e4(x2+x3)(1648x2+96x3100x4+96x584x6+24x7+e8(x4+2x5x6)+e4(8x2+8x312x4+28x520x6+4x7))16+48x248x3+36x472x5+36x6+e8(x42x5+x6)+e4(8x28x3+12x424x5+12x6)dx
  3.40.34 248x102x3+2e2xx3280x4+36x5+36x6+ex(2x2x244x3+16x4+6x5)x3dx
  3.40.35 6xdx
  3.40.36 ex(e5+43+x(14401120x+800x2160x3)+e5(180+60x460x2+260x340x4))9x26x3+x4dx
  3.40.37 12801920x2+128x3720x4+ex(1280+1280x1920x2+1920x3720x4+720x5)+8x4log(x)+(160x+120x34x4+ex(160x160x2+120x3120x4))log2(x)+(5x2+ex(5x2+5x3))log4(x)1280x2+1920x4+720x6+(160x3120x5)log2(x)+5x4log4(x)dx
  3.40.38 e2x(8x+(8x8x2)log(2x5))25log3(2x5)dx
  3.40.39 e2ex+(4log(3))log(x3)log(x3)x(ex+(4log(3))log(x3)log(x3)(3+log(x3))log2(x3))log2(x3)dx
  3.40.40 e24x2(96+2x2)x2dx
  3.40.41 105xx22x32x5+(105210x3)log(4)+(105210x3)log(x)x4+105x2log(4)+105x2log(x)dx
  3.40.42 ee812x28x213x3+ex(4+4x+12x2)4x3+812x28x213x3+ex(4+4x+12x2)4x3(e4(6+6x+7x2)+e4+x(3x2x2+3x3))x4dx
  3.40.43 125110x+25x2+(840x)log(16)+16log2(16)dx
  3.40.44 16x+3x2(108x2+x3)log(15(108x2+x3))dx
  3.40.45 800800x+(1600400x800x2)log(x)+(5x+2x3)log3(x)+((400+400x)log(x)+(xx2)log3(x))log(400xlog2(x)log2(x))(400400x)log(x)+(x+x2)log3(x)dx
  3.40.46 (128x18x3+36x418x5+(768256x+324x2756x3+252x4+180x5)log(3+x))log(4096log(3+x)4096x21152x4+2304x51071x6324x7+486x8324x9+81x10)(192x64x2+27x345x4+9x5+9x6)log(3+x)dx
  3.40.47 21+e8+50x2(3300x2)3log(5)3log(x2)25+e16+100x2+10x+x2+e8+50x2(10+2x2log(5))+(102x)log(5)+log2(5)+(102e8+50x22x+2log(5))log(x2)+log2(x2)dx
  3.40.48 44x+2x2+5x3+2x4+(7x2+6x3)log(3ex+x24)+(2+3x+6x2)log2(3ex+x24)+(1+2x)log3(3ex+x24)x3+3x2log(3ex+x24)+3xlog2(3ex+x24)+log3(3ex+x24)dx
  3.40.49 (168x)log(x)+4xlog2(x)+ex/2x2(8log(x)+(4+x)log2(x))4ex/2x+16x16x2+4x3+ex/2x2(16x+8x2)dx
  3.40.50 8015x+10x2+5x5+(3x35x5)log(2)5x5dx
  3.40.51 (13x+2x2+2x33x4+x5+(816x+16x38x4)log(25)+(2832x24x2+32x34x4)log2(25)+(5624x56x2+24x3)log3(25)+(70+10x54x2+6x3)log4(25)+(56+32x24x2)log5(25)+(28+24x4x2)log6(25)+(8+8x)log7(25)+(1+x)log8(25)+(16x+6x2+8x315x4+6x5+(832x+64x340x4)log(25)+(2864x72x2+128x320x4)log2(25)+(5648x168x2+96x3)log3(25)+(70+20x162x2+24x3)log4(25)+(56+64x72x2)log5(25)+(28+48x12x2)log6(25)+(8+16x)log7(25)+(1+2x)log8(25))log(x))dx
  3.40.52 (2+log(3x3125))dx
  3.40.53 e5(800160x)+25600x+19200x2+1920x3320x4e5(125+75x15x2+x3)dx
  3.40.54 e5(4+4x2)+e5(4+3x4x2)log(129x+12x24x)+(8x6x2+8x3)log2(129x+12x24x)(2015x+20x2)log2(129x+12x24x)dx
  3.40.55 6log(4)+(6x29x3)log2(x)+(6log(4)log(x)+(3x23x3)log2(x))log(4log(4)+(2x22x3)log(x)log(x))log(log(4log(4)+(2x22x3)log(x)log(x)))(2x2log(4)log(x)+(x4+x5)log2(x))log(4log(4)+(2x22x3)log(x)log(x))log2(log(4log(4)+(2x22x3)log(x)log(x)))dx
  3.40.56 40exx2+e2x(100x+140x2+40x3)+e1+x(40exx2+e2x(40x40x2))+(40x2+ex(200x180x240x3)+e1+x(40x2+ex(80x+40x2)))log(104e1+x+4x)+(100x40e1+xx+40x2)log2(104e1+x+4x)12550x+e2x(50x220x3)+e1+x(50+20e2xx2+2e4xx4)+e4x(5x42x5)+(ex(100x2+40x3)+e1+x(40exx28e3xx4)+e3x(20x4+8x5))log(104e1+x+4x)+(50x220x3+e1+x(20x2+12e2xx4)+e2x(30x412x5))log2(104e1+x+4x)+(8e1+2xx4+ex(20x4+8x5))log3(104e1+x+4x)+(5x4+2e1+xx42x5)log4(104e1+x+4x)dx
  3.40.57 15+ex(10x10x2)3+exx2dx
  3.40.58 750log(x3+2e5x3+e10x3e10)125log2(x3+2e5x3+e10x3e10)13x2dx
  3.40.59 e2x(5+10x)log(4)+e3log(4)exlog(4)2xlog(x2)log(4)(e3xxlog(4)+e2x(4x+(1+2x)log(4))2e2xxlog(x2))x2log(4)dx
  3.40.60 e5x+x2(512+2560x+1024x2)+e5x+x2(128x640x2256x3)log(1+4log(e5x+x2+4xx)log(e5x+x2+4xx))+((128e5x+x2x512x2)log(e5x+x2+4xx)+(512e5x+x2x2048x2)log2(e5x+x2+4xx))log2(1+4log(e5x+x2+4xx)log(e5x+x2+4xx))+((32e5x+x2x2+128x3)log(e5x+x2+4xx)+(128e5x+x2x2+512x3)log2(e5x+x2+4xx))log3(1+4log(e5x+x2+4xx)log(e5x+x2+4xx))((e5x+x2x+4x2)log(e5x+x2+4xx)+(4e5x+x2x+16x2)log2(e5x+x2+4xx))log3(1+4log(e5x+x2+4xx)log(e5x+x2+4xx))dx
  3.40.61 6e2+2xx3+ee22x(4+xx2+log(x))x2(27+21x6x2+3e2+2xx2+6x3+(66x)log(x))e2+2x+2e22x(4+xx2+log(x))x2x42e2+2x+e22x(4+xx2+log(x))x2x5+e2+2xx6dx
  3.40.62 800e4x+(100e2800e4x)log(x)100e2log2(x)1000e6x3+300e4x2log(x)+30e2xlog2(x)+log3(x)dx
  3.40.63 4+4x5log(x)x2dx
  3.40.64 e3+16e4x16x2+48e3/4x216x(316x2+48e3/4x2)16x2dx
  3.40.65 18x+2xlog(25)89x2+x2log(25)dx
  3.40.66 10001500x1500x2+ex2(200+340x+300x260x3)+(400+300x+600x2+ex2(8060x120x2))log(5ex2)+(4060x2+ex2(8+12x2))log2(5ex2)500+1500x21125x4+ex2(100300x2+225x4)+(200600x2+450x4+ex2(40+120x290x4))log(5ex2)+(20+60x245x4+ex2(412x2+9x4))log2(5ex2)dx
  3.40.67 ex(44x)+ex(1+x)log(4log(5)+log(5)log(25))6x2+x2log(4log(5)+log(5)log(25))dx
  3.40.68 29+290x290x2+58x3+ex(19x+9x22x3)29x29x2+ex(x+x2)dx
  3.40.69 216x+216x354x5+e4/x(216+54x+108x2+27x3)+(54x27x3)log(2)16x3+e8/xx316x5+4x7+(8x34x5)log(2)+x3log2(2)+e4/x(8x3+4x52x3log(2))dx
  3.40.70 (516x+3x2+(6+4x)log(x2)+log2(x2))dx
  3.40.71 10x7log(2)+(45x4+5x9)log2(2)+(10x5+(54x26x7)log(2))log(9+x5)+(9+x5)log2(9+x5)(9+x5)log2(2)dx
  3.40.72 3x+x3(27+18x3x2)e169x6x2+x3dx
  3.40.73 9+24x+32x3+16x4+e4(12x16x3)+e4x(16x4+32x5)+e2x(8x3+96x4+32x5+e4(16x332x4))8x3dx
  3.40.74 13(ex(1+x)5xlog(5))dx
  3.40.75 4ex+4x+8xlog(2x)ex4x+4x2log(2x)dx
  3.40.76 exx3+x4+eex(6x26exx2)+(e2ex(2x+2exx)+eex(6x26e2xx2+ex(6x6x3)))log(2ex+2x)+e2ex(2x+2e2xx+ex(2+2x2))log2(2ex+2x)exx3+x4dx
  3.40.77 e4x(50x2+100x3)+e2x+2log2(x)(2e4xx+4e4xlog(x))+ex+log2(x)(e4x(10x30x2)20e4xxlog(x))xdx
  3.40.78 12+ex(3+3x+x2)16x2+8exx2+e2xx2dx
  3.40.79 103x2+x2log(x)6x2dx
  3.40.80 144log(4x)+log(x)9x4xlog(4x)+xlog(x)dx
  3.40.81 1+x+2ex2+(8x+2x2+2ex3+2xlog(x))log(4xex2log(x))(4x+x2+ex3+xlog(x))log(4xex2log(x))dx
  3.40.82 2ex2+e12(28+e4)(2e5+4ex)e8x22e4x3+x4dx
  3.40.83 2+2x3exx3ex3x3xdx
  3.40.84 e2x(2e2xx2+ee2x(1+e2xxlog2(4))2x(1+2x))2x2dx
  3.40.85 (25x+9x28x3+16x450log(x))log(e2516x2xx2+2log(x))4x44x5+8x3log(x)dx
  3.40.86 e4(480x144x2120x3+12x4)+e2(1600x2640x31200x4+160x5)25600x2+19200x4+4800x6+400x8+e4(576+432x2+108x4+9x6)+e2(7680x+5760x3+1440x5+120x7)dx
  3.40.87 e1+e3+x(1612x2x2+e3+x(4x+4x2+x3))x5dx
  3.40.88 62x+3xlog(x)dx
  3.40.89 3elog8(4)log(x)+elog8(4)(38x)log(3+8xx)+3elog8(4)log(log(2))(3x+8x2)log2(x)log2(3+8xx)+(6x+16x2)log(x)log2(3+8xx)log(log(2))+(3x+8x2)log2(3+8xx)log2(log(2))dx
  3.40.90 log(x)+(8e16elog(x)+(12log(x))log(2x))log(8e+log(2x)4e)72ex3+9x3log(2x)dx
  3.40.91 x+10x2+x425x6+e2x(x2+2x317x410x5)+ex(2x32x4+42x5+10x6)+(14x+5x2)log(x+5x2)x65x7+e2x(x45x5)+ex(2x5+10x6)+(x2+5x3)log(x+5x2)dx
  3.40.92 35+7x+(6+2x)log(5+x)+(5x)log2(5+x)4521xx2+x3dx
  3.40.93 50x450xlog(x)+(10025x300x375x4)log(4+x)(4x7+x8+(8x4+2x5)log(x)+(4x+x2)log2(x))log3(4+x)dx
  3.40.94 14e3+x2(e3x2(8e+8x)+e30e3+x2(e3x2x3+15x5)+e15e3+x2(60ex3+60x4+e3x2(4ex+6x2)))dx
  3.40.95 e3+ex5x+log(2)x5x+log(2)(153log(2))5020x+2x2+(204x)log(2)+2log2(2)dx
  3.40.96 (20+ex(4+4x)+e5+x(4+4x)+e5e2(5+ex(1+x)+e5+x(1+x)))dx
  3.40.97 13(1+3e3+4x+e5+x+exx(3+3x))dx
  3.40.98 10+eex2(24ex2x2)5x+eex2x+x2dx
  3.40.99 3+4x+(1+x)log(1+x)9x2+9x3+(6x2+6x3)log(1+x)+(x2+x3)log2(1+x)dx
  3.40.100 8exlog(7+4x)+ex(7+4x)log2(7+4x)175+100xdx