3.78 Integrals 7701 to 7800

  3.78.1 e92100x275x2+(12250x1500x2)log(x)+(8750x625x2)log2(x)e1850e9x2+625x4+(500e9x2+12500x4)log(x)+(1250e9x2+93750x4)log2(x)+312500x4log3(x)+390625x4log4(x)dx
  3.78.2 e3+e2x15x22x3+x4(4x260x312x4+8x5)2x2dx
  3.78.3 14e84xx3(5log3(x)+(55x)log4(x))dx
  3.78.4 80+200x+125x248x3240x4225x5+72x7+135x827x11+e3(125225x3+135x627x9)+(200x+250x2+288x3+120x4450x5144x7+270x854x11)log(3x)125x+225x4135x7+27x10dx
  3.78.5 ex44x6+4x7+4x88x9+4x10+(2x42x54x6+8x74x8)log(x)+(x42x5+x6)log2(x)4x44x2log(x)+log2(x)(2x3+4x54x6+16x724x832x9+80x1048x11+(2x3+2x424x5+32x6+48x7120x8+72x9)log(x)+(8x310x424x5+60x636x7)log2(x)+(4x310x4+6x5)log3(x))8x6+12x4log(x)6x2log2(x)+log3(x)dx
  3.78.6 e127(600+25e2+2x+ex(1+x)x)+2+2x+ex(1+x)x(50+ex(25+25x+25x2))27x2dx
  3.78.7 4+(4x4ex6x2)log(x2)+(2x+2ex+6x2)log2(x2)+(2x2+2e2x29x3+9x4+e(4x2+9x3))log3(x2)xlog3(x2)dx
  3.78.8 15ex(e5+125+x5(5+6x)+e5(10+10x))dx
  3.78.9 108x+198x2+96x3+e2x(54x2441x3696x4192x5)288+1536x+2048x2+e2x(720x+3840x2+5120x3)+e4x(720x2+3840x3+5120x4)+e6x(360x3+1920x4+2560x5)+e8x(90x4+480x5+640x6)+e10x(9x5+48x6+64x7)dx
  3.78.10 e625+x8log(x)2x7(4375+2x7+2e625+x8log(x)2x7x7x8x8log(x))2x7dx
  3.78.11 (1+ex2x2e2x2x)dx
  3.78.12 e28+x2x2+(24+6x)log(log(x)5)+(4x)log2(log(x)5)(24+6x+(x4x2)log(x)+(82x+6xlog(x))log(log(x)5)xlog(x)log2(log(x)5))xlog(x)dx
  3.78.13 1+e2+exx4(2x3+ex(8x52x6+4x7+x8))x2dx
  3.78.14 (22+ex2x+18x24x3)dx
  3.78.15 2x+x2+x3+e8x4(8+4x2)log3(x2+x+x2)+e8x4(64x432x532x6)log4(x2+x+x2)2x+x2+x3dx
  3.78.16 ex+x+3x2+3xlog(x)+e2+exx3x23xlog(x)e2(4ex+6x+3log(x))(exx3x23xlog(x))ex+x+3x2+3xlog(x)dx
  3.78.17 (8x24exx34x5+(16x26x3+8x5+ex(2x2x2+8x3))log(4x)+(4+2exx+2x3)log(2exxx3))log(log(4x)2x2+log(2exxx3))(4x32exx42x6)log(4x)+(2x+exx2+x4)log(4x)log(2exxx3)dx
  3.78.18 14log(x)+log(x)log(log(x))25x2log(x)dx
  3.78.19 800e41+4x800e81+4x29+232x+464x2+e41+4x(50400x800x2)+e81+4x(25+200x+400x2)dx
  3.78.20 (6+6e2+6x3log2(3))dx
  3.78.21 1e+x2log(13e5x)x2dx
  3.78.22 ee2(12x+4x2+3x3x4+e1+x(124x3x2+x3))+ee2(12x8x2+3x3+e1+x(8x2x2+4x3x4))log(5x)16x8x3+x5dx
  3.78.23 4x5x22x3+3x4+e1x+x2(x3x2+2x3x4)+(x22x3+x4)log(x)4+8x12x216x3+16x4+e1x+x2(4x+12x38x4)+e2x+x2(x22x3+x4)+(4x12x3+8x4+e1x+x2(2x2+4x32x4))log(x)+(x22x3+x4)log2(x)dx
  3.78.24 12e12(x2eex+2x2)(4xx22eex2+4x3)dx
  3.78.25 3x2+(13x)log(3)+ee4x(x2+xlog(3))x2+xlog(3)dx
  3.78.26 15x4+ex(5+5x)+(ex(1+x)3x4)log(ex+80xx45x)2exx+160x22x5dx
  3.78.27 17x+33x2+31x340x460x520x6+e3+3x(120x3)+e2+2x(3+3x+30x270x360x4)+e1+x(34x+73x220x3130x460x5)1+e3+3x+3x+3x2+x3+e2+2x(3+3x)+e1+x(3+6x+3x2)dx
  3.78.28 64x616x2log(5)+ee3(4+2x+256x7+128x8+(64x332x4)log(5))+(4+2x+256x7+128x8+(64x332x4)log(5))log(2+x)+(192x416log(5)+ee3(768x5+384x6+(64x32x2)log(5))+(768x5+384x6+(64x32x2)log(5))log(2+x))log(ee3+log(2+x))+(192x2+ee3(768x3+384x4)+(768x3+384x4)log(2+x))log2(ee3+log(2+x))+(64+ee3(256x+128x2)+(256x+128x2)log(2+x))log3(ee3+log(2+x))ee3(2+x)+(2+x)log(2+x)dx
  3.78.29 410x(iπ+log(log(625)))2(1x)10x(iπ+log(log(625)))2(10+10log(14x))(iπ+log(log(625)))2dx
  3.78.30 20e4/x30x44x5x2dx
  3.78.31 e1x2(40+10x+20x25x3)64x2+48x3+12x4+x5dx
  3.78.32 115e115(2x+x2)(2+2x)dx
  3.78.33 2e4x7dx
  3.78.34 6045+1208x1209log2(4)5xx2+xlog2(4)dx
  3.78.35 375525x119x2+2x3375x2+122x3x4+(375x+125x2)log(x)+(75x+25x2)log(3+x)dx
  3.78.36 120+11x8x2125+5x+8x2dx
  3.78.37 e4+2ex+2x(iπ+log(1+e2))+x(iπ+log(1+e2))2+x+2x(iπ+log(1+e2))+x(iπ+log(1+e2))2(2+4(iπ+log(1+e2))+2(iπ+log(1+e2))2)1+e4+2ex+2x(iπ+log(1+e2))+x(iπ+log(1+e2))2dx
  3.78.38 (512+128x512x2+128x4)log7(x)+(640224x+1152x2416x4)log8(x)640000x11+800000x122800000x133100000x14+6012500x15+5400625x168112500x175450000x18+7403125x19+3450000x204665000x211393750x22+2025000x23+350000x24593750x2550000x26+112500x27+3125x2812500x29+625x31dx
  3.78.39 1+(6+2x3x2)log(5)log(5)dx
  3.78.40 5e7+e6(5e4+20e2x)+e6(20e2x+10e4x)log(x)+(e4x+e3(2e4x+8e2x2)+e6(4e4x+8e2x216x3))log2(x)+(2e7x2+e6(2e4x28e2x3))log3(x)e10x3log4(x)(e4x+e3(2e4x8e2x2)+e6(e4x8e2x2+16x3))log2(x)+(2e7x2+e6(2e4x2+8e2x3))log3(x)+e10x3log4(x)dx
  3.78.41 e15(12+ee3(35x)5x+25x2+(35x)log(x))(310x5ee3x+50x25xlog(x))5xdx
  3.78.42 exx3log(x)log2(x)(2+(1x2)log(x)+3x2log2(x))log3(x)dx
  3.78.43 6000+1000x+(2200+200x)log(x)200log2(x)3x3dx
  3.78.44 e1ex+e1ex+x+xlog(2e2xx2)+x+xlog(2e2xx2)(3ex+2x+log(2e2xx2))dx
  3.78.45 e17(1+x)x+e(1x)(2+2x)5x+(5e25x)(2+2x)5log(5ex)log(log(5ex))(5x5x2+e(x+x2)x)log(5ex)dx
  3.78.46 13ex/252ex2x+(78+26ex/2+26ex2)log(3+ex/2+ex2)(36x2+12ex/2x2+12ex2x2)log(3+ex/2+ex2)+(72x24ex/2x24ex2x)log(3+ex/2+ex2)log(log(3+ex/2+ex2))+(36+12ex/2+12ex2)log(3+ex/2+ex2)log2(log(3+ex/2+ex2))dx
  3.78.47 e2x(843780+226968x30576x25880x3+588x4)+e4x(7031500+4302200x+198520x2257736x317616x4+7080x5+136x688x7+4x8)2401dx
  3.78.48 512+500x78x24x3+e2(4x3x4)log(4)+(3232x+6x2)log(4x)e2(16x3+20x48x5+x6)dx
  3.78.49 x2+ee1x+x+1x+x(1+x2)+(3ee1x+xx3x2)log(2ee1x+x+2x)(ee1x+xx2+x3)log(2ee1x+x+2x)dx
  3.78.50 256+512x+192x21+256x+256x2+64x3dx
  3.78.51 e4x(e4e4(2561024x)+e4e4(1921024x)log(x)+e4e4(48384x)log2(x)+e4e4(464x)log3(x)4e4e4xlog4(x))xdx
  3.78.52 2156x+122x28x3+1352x4208x5+8x61+52x24x3+676x4104x5+4x6dx
  3.78.53 1+8x5+4x6+(1+2x)log(x)2x6+xlog(x)dx
  3.78.54 512x2128x3+(1536x2128x3)log(x)+e5x(32x2+(160x2+64x3)log(x))x4096+e153xx3+e102x(4812x)x23072x+768x264x3+e5x(768384x+48x2)xdx
  3.78.55 6x+2x3+e10(6x+2x3)+e5(12x+4x3)+e22x(6x+6x2+2x32x4)+e1x(12x+6x2+4x32x4+e5(12x+6x2+4x32x4))+(2x+2x3+4e5x3+2e10x3+2e22xx3+e1x(4x3+4e5x3))log(1+x2+2e5x2+e10x2+e22xx2+e1x(2x2+2e5x2))1+x2+2e5x2+e10x2+e22xx2+e1x(2x2+2e5x2)dx
  3.78.56 exdx
  3.78.57 4816x8x5+(64+24x+16x5)log(x)8x5log2(x)x52x5log(x)+x5log2(x)dx
  3.78.58 ee+log(3)20x+xlog(x)(elog(3))log(x)400+40x+x2+(40x2x2)log(x)+x2log2(x)dx
  3.78.59 5040x25exx3+(20+8x)log(4)+2log2(4)x3dx
  3.78.60 e3x(81x2+63x317x4+x5)+ee2+x9x+x2(e(9+11xx2)+e3x(81x218x3+x4))e3xe2+x9x+x2(81x218x3+x4)+e3x(81x318x4+x5)dx
  3.78.61 eee325+log(x)(22x)e325+log(x)(e32(22x)50x+20xlog(x)2xlog2(x))25x10xlog(x)+xlog2(x)dx
  3.78.62 32(x3x4)1+4x3log(x3)x2(x3x4)1+4x3log(x3)(2x22x3+(6x28x3)log(x3)8x6log2(x3))1+8x3log(x3)+16x6log2(x3)dx
  3.78.63 (1250x+4500x2+4200x3+900x4+54x5+(300x990x2792x390x4)log(2)+(18x+54x2+36x3)log2(2)+(300x540x272x3+(36x+54x2)log(2))log(4)+18xlog2(4))dx
  3.78.64 e40x4+20x5+(8x3+4x4)log(2)4log2(2)(160x3+100x4+(24x2+16x3)log(2))dx
  3.78.65 x3+ee20+20x+125x2+5x3x2+20+20x+125x2+5x3x2(4020x+5x3)x3dx
  3.78.66 (2+2x+e(20x4x3))dx
  3.78.67 32x+28x2+(16+28x)log(16)x2+xlog(16)dx
  3.78.68 2exxx2+(64x2+64exx2+128x3)log3(2+ex+x+x2)2x2+exx2+x3+x4dx
  3.78.69 2x3+(4x38xlog(3))log(6x)+16xlog(3)log2(6x)log2(3)log3(6x)dx
  3.78.70 x2+e5+x2(120+240x2+(20+40x2)log(3))x2dx
  3.78.71 5x+e10+x35x(30x230x36x5+e5(10+2x3))25x2dx
  3.78.72 800168x+ex(400+164x+16x2)+(20040x+ex(100+40x+4x2))log(5+x)40000x6+8000x7+ex(40000x68000x7)+e2x(10000x6+2000x7)+(20000x6+4000x7+ex(20000x64000x7)+e2x(5000x6+1000x7))log(5+x)+(2500x6+500x7+ex(2500x6500x7)+e2x(625x6+125x7))log2(5+x)dx
  3.78.73 e8(34+3x+(10+x)log(4)+(3log(4))log(log(x)))3+log(4)(8+8xlog(x))xlog(x)dx
  3.78.74 3+400ee52x2x2dx
  3.78.75 ex(1550x2+10e2xx2+(15x+5e2xx250x3)log(3e2xx+10x2x))3x+e2xx210x3dx
  3.78.76 375x+15x2+(10125+10845x+4925x2+1035x3+75x45x5)log(25+x)+(405x450x2215x350x45x5+(11250x+10300x2+3320x3+350x420x5)log(25+x))log(x)25x+x2dx
  3.78.77 112(15+12ex+548x348x2+48x38xlog(x))dx
  3.78.78 48x3+3x5+(144x29x4)log(x)+(144x+9x3)log2(x)+(483x2)log3(x)+e2(3x2+3x46x3log(x)+3x2log2(x))x22xlog(x)+log2(x)(12x2+x3+12x5+(15x236x4)log(x)+(3x+36x3)log2(x)+(112x2)log3(x))+e3x2+3x46x3log(x)+3x2log2(x)x22xlog(x)+log2(x)(12x3+4x4+12x6+(24x336x5)log(x)+(12x2+36x4)log2(x)+(4x12x3)log3(x))16x3+48x2log(x)48xlog2(x)+16log3(x)dx
  3.78.79 4x2x2+ex(2x4x22x3)+e2x(2x22x3)+(2+2x+ex(2x+2x2))log(x)16x2log(x2)8x2log2(x2)xdx
  3.78.80 ex(ex(2x28x3+4x4+8x5+2x6+e6(24x2+2x4)+e3(4x+8x2+8x38x44x5))+(x2x3+3x4+x5+e6(1x+x2+x3)+e3(2x4x32x4))log(4))x24x3+2x4+4x5+x6+e6(12x2+x4)+e3(2x+4x2+4x34x42x5)dx
  3.78.81 10ex+e2xx2+110(30+e2xx2x)(12x+2x2)20e2x+20e15(30+e2xx2x)40exlog(2)+20log2(2)+e110(30+e2xx2x)(40ex+40log(2))dx
  3.78.82 2+e27+x(xx2)9x3dx
  3.78.83 23+xdx
  3.78.84 390625log(x)xlog2(x)+(390625+xlog2(x))log(xlog(3))+xlog2(x)log2(xlog(3))(390625xlog(x)+x2log2(x))log(xlog(3))+(x+x2)log2(x)log2(xlog(3))dx
  3.78.85 e4x2(e4x2log2(x)+ee4x2xlog(x)(31+5x+(315x+248x2+40x3)log(x)5e4x2log2(x)))log2(x)dx
  3.78.86 x3+e2x(4x24log(2))+xlog(2)+e2x(88x+48x2)log(x4e2xx)+(4e2xx)log2(x4e2xx)4e2xx2x3dx
  3.78.87 121+22x+4x2+(222x)log(2)+log2(2)+(121+x2+22log(2)log2(2))log(x)x2dx
  3.78.88 (5+e(7x)log2(x)(1+(142x)log(x)xlog2(x)))log(log(log(5)))2510e(7x)log2(x)+e2(7x)log2(x)dx
  3.78.89 x35+609x+2650x2+625x3+e2(4+x)(72+1218x+5300x2+1250x3+e2(8+2x)+(1218x+2e2x+10600x2+3750x3)log(x))dx
  3.78.90 18x+20x2+4x3+2x4+ex(18x22x32x4)+15e4(9xx2x3)(911x4x2x3+ex(9x+x2+x3))18x22x32x4+15e4(9xx2x3)(9x+x2+x3)dx
  3.78.91 15e1+e23xe23(20+e1+e23xe23(5+e15(5e4x+x2)(5e4+2x)))dx
  3.78.92 6ex+ex(11+3x)log(12166x+9x2)e25(11+3x)log2(12166x+9x2)dx
  3.78.93 3x3+(10x3x4)log(x)+(5+5x)log2(x)+log(ex4x)(x3+3x3log(x))x710x4log(x)+25xlog2(x)dx
  3.78.94 e2x6x2+(2+3x)log(x)2x2+xlog(x)(2x+4x28xlog(x)+2log2(x))4x44x3log(x)+x2log2(x)dx
  3.78.95 9+9x2+e2x2+2x3(x2+4x4+6x5)+9x2log(x)9x2dx
  3.78.96 1510x+x2+ee10+6e102e5+3e10x+x2(3+2x6x22x3+e5+3e10(6x+2x2))25+e2e10+6e104e5+3e10x+2x210x+x2+ee10+6e102e5+3e10x+x2(10+2x)dx
  3.78.97 4+x2xlog(5x5e5x+(2x+2e5x)log(2)2log(2))64x+48x2+12x3+x4dx
  3.78.98 4x2+e4+xx2x(16+4x2)+(e4+xx2xx2x3)log(e4+xx2xx)(e4+xx2xx2x3)log(e4+xx2xx)dx
  3.78.99 12(1+ex(33x))dx
  3.78.100 (3434x+e4(2x+2x2))log(e5x)+(34x+e4(xx2))log2(e5x)x+3x2+3x3+x4dx