3.5 Integrals 401 to 500

  3.5.1 1625(5625+33750x+6e2x3x2)dx
  3.5.2 e2(5+3x)x(50+5x+(100x+20x2)log(3))xdx
  3.5.3 (44e4+e4xx)dx
  3.5.4 116(13831201839264x+458643x2+(7902721052352x+262752x2)log(5)+(169344225696x+56400x2)log2(5)+(1612821504x+5376x2)log3(5)+(576768x+192x2)log4(5))dx
  3.5.5 75x2+5x425+10x2+x4dx
  3.5.6 3+x4xlog(x)+(6x)log(x)log(5log(x)e3)(4x2x3)log(x)+(3x+x2)log(x)log(5log(x)e3)dx
  3.5.7 2+ex(22x)16+8x+x2+e2xx2+ex(8x2x2)dx
  3.5.8 220x20xlog(x)6480x+3600x2+500x3+(6480x+3600x2+500x3)log(x)+(360x+100x2+(360x+100x2)log(x))log(1+log(x))+(5x+5xlog(x))log2(1+log(x))dx
  3.5.9 e162+80x(400+e16280x)dx
  3.5.10 16268x781x2728x3260x4+e2(24x+26x28x3)16x188x2656x3592x464x5+64x6dx
  3.5.11 xx2+4x3+e4(2+2x)+(24x+e4(2x+2x2))log(x)+e8(x+x2)log2(x)+(22x4x2+2x3+2x4+(2x2x2+e4(2x3+2x4))log(x)+e4(2x2x2)log2(x))log(x+x2)+(x5+x6+(2x32x4)log(x)+(x+x2)log2(x))log2(x+x2)x+x2+e4(2x+2x2)log(x)+e8(x+x2)log2(x)+(2x3+2x4+(2x2x2+e4(2x3+2x4))log(x)+e4(2x2x2)log2(x))log(x+x2)+(x5+x6+(2x32x4)log(x)+(x+x2)log2(x))log2(x+x2)dx
  3.5.12 e1+log(5)log(e75+28x+xlog(x)3+log(x)+x)(9x+9xlog(5)+(6x+6xlog(5))log(x)+(x+xlog(5))log2(x)+e75+28x+xlog(x)3+log(x)(75+59x+(7559x)log(5)+(31x31xlog(5))log(x)+(xxlog(5))log2(x)))(9x26x2log(x)x2log2(x)+e75+28x+xlog(x)3+log(x)(9x+6xlog(x)+xlog2(x)))log2(e75+28x+xlog(x)3+log(x)+x)dx
  3.5.13 e3xx2+xx10+5x+9x2log(x)x(160x2160x3+40x4+(180x2180x3+45x4)log(x)+xx10+5x(20+22x6x2+2xlog(x)))20x220x3+5x4dx
  3.5.14 e2ex(63e4)+12x23e4x23x2log(2)+(16x+6e4x+2xlog(2))log(3)+(63e4)log2(3)+eex(16x+6e4x+2xlog(2)+ex(2x2+x2log(2))+(126e4)log(3))e2exx4+x62x5log(3)+x4log2(3)+eex(2x5+2x4log(3))dx
  3.5.15 16e516x+e5(16+8x)log(x2+x)e10(2+x)2x2+x3+e5(4x+2x2)dx
  3.5.16 25003000x+18800x2+11840x3+47360x5300800x6192000x7+640000x881x5+432e5x5+864e10x5+768e15x5+256e20x5dx
  3.5.17 816+512e+80e2+(128+40e)log(x)+5log2(x)+(168+104e+16e2+(26+8e)log(x)+log2(x))log(80x)9+6e+e2dx
  3.5.18 e2xdx
  3.5.19 30+54x+e2x(1512x12x23x3)+(120x12x2+e2x(60x+36x2+6x3))log(5+x)+(60x+12x2+e2x(30x21x23x3))log2(5+x)20+e2x(204x)+4x+e42x(5+x)dx
  3.5.20 392+112x+6x2+eee3(16x+24exx+12e2xx+2e3xx)+(112+16x)log(5)+8log2(5)+e3x(49+28x+3x2+(14+4x)log(5)+log2(5))+e2x(294+140x+26x2+2x3+(84+20x+2x2)log(5)+6log2(5))+ex(588+224x+43x2+2x3+(168+32x+4x2)log(5)+12log2(5))8+12ex+6e2x+e3xdx
  3.5.21 24+e2(24x)4e2log(3)x+e2x+(4+4e2)log(3)dx
  3.5.22 131072x31024e2exx32e4exx3+e8256+e2ex(262144+196608x2+e4ex(4+3x2)+e2ex(2048+1536x2+ex(64x+16x3)))e16256+e2ex(327680+2560e2ex+5e4ex)+327680x2+2560e2exx2+5e4exx2+e8256+e2ex(655360x5120e2exx10e4exx)dx
  3.5.23 (99+40x3x2+e8x16x2(25200x+800x2)+e4x8x2(100+380x1640x2+160x3))dx
  3.5.24 24x3+e2x(5+10x)+5x2log(2)+e2x(24x2+ex(5+15x)+(510x)log(2))+ex(7x25x3+(55x)log(2))x2dx
  3.5.25 8+5x26x3+ex(12x2+3x3)x2dx
  3.5.26 10x22e3x2+ee5x+25x4+5e3x45+e3+5x+25x4+5e3x45+e3(5x+100x4+20e3x4)+(ee5x+25x4+5e3x45+e3(5e3)+5x2+e3x2)log(ee5x+25x4+5e3x45+e3+x2)5x4e3x4+ee5x+25x4+5e3x45+e3(5x2+e3x2)dx
  3.5.27 196e124(96+720x+48x2+xlog2(9))(720+96x+log2(9))dx
  3.5.28 1200+5280x5776x2149x4+1440x5+300x616x4dx
  3.5.29 (36+18x+25e8x+2x2(9x2+36x3)x2+e12(8x+2x2+2log(5x))(63x2+36x3))dx
  3.5.30 (432x21800x3+1080x4+1944x5+(648x+648x2+2592x3)log(x)+648xlog2(x))dx
  3.5.31 ee107+19x+(20+4x)log(x)19+4log(x)+107+19x+(20+4x)log(x)19+4log(x)(48+361x+152xlog(x)+16xlog2(x))361x+152xlog(x)+16xlog2(x)dx
  3.5.32 e3(64x216x3x4)+e96x+12x2+3x3+e3(9638x2+4x3+x4)e3(8x+x2)(192x2+48x3+3x4+e3(768192x304x2+64x3+28x4+2x5))e3(64x2+16x3+x4)dx
  3.5.33 e3x+(13x)log(x)x2log(x)(3e5x6x2+(3e5x6x2)log(x)2e3x+(13x)log(x)x2log(x)x3log2(x)+(e5(23x)+4x6x22x3)log2(x))(e10x3+4e5x4+4x5)log2(x)dx
  3.5.34 ex(4exx+ex3(8118xx2+ex(81x18x2+728x381x445x53x6))+ex3(81x+18x2242x354x43x5)log(x))81x+18x2+x3dx
  3.5.35 x5x6+ex(x+x2)+(6x53x6+ex(2x+2x2))log(x)+(exx+x5+(2exx+2x5)log(x))log(ex+x4)exx4dx
  3.5.36 13e3x+52x2+ex(24x+12e3x+24x2)+(ex(12e324x)13e3x26x2)log(13(13e3x+26x2+ex(12e3+24x)))log(log(13(13e3x+26x2+ex(12e3+24x))))(13e3x3+26x4+ex(12e3x2+24x3))log(13(13e3x+26x2+ex(12e3+24x)))dx
  3.5.37 10x40x2+(30110x+30x2+40x3)log(12(x+2x2))+(30+60x30x260x3)log2(12(x+2x2))+(60x120x2+20x3+40x4)log3(12(x+2x2))(1+2x)log3(12(x+2x2))dx
  3.5.38 116ex+116ex(75x55x213x3x4+e4+x(75x+30x2+3x3))(75185x94x217x3x4+e4+x(75+210x+69x2+6x3))dx
  3.5.39 10x+xlog(x)+(12xx2+(2x+2x2)log(x))log(log(5)25)2xlog2(x)dx
  3.5.40 e16x+4xlog(x)(496x4x312x4+(4+32x+4x4)log(x))116x+64x22x4+16x5+x8dx
  3.5.41 69x6xlog(x2)+xlog2(x2)dx
  3.5.42 162x2+270x318x4+e2x(18+30x2x2)+ex(108x180x2+3x3+9x4)e2xx36exx4+9x5dx
  3.5.43 (4+ex+log(16))dx
  3.5.44 1000500log(x)x2dx
  3.5.45 e11xx2+ex2(10+x)+eex2x(ex2+x)10+eex2xx(220x+40x2+2x3+eexx(2x4ex2x2)+ex2(400x280x34x4)+eex2x(ex(1+x)42x4x2+ex2(80x2+8x3)))200x+2eexxx+40x2+2x3+eex2x(40x4x2)dx
  3.5.46 90x2+90xlog(3)+(x+log(3))2x25(2x2+(4x2+4xlog(3))log(x+log(3)))+(x+log(3))x25(30x6x330log(3)+(12x312x2log(3))log(x+log(3)))5x+5log(3)dx
  3.5.47 2(44ex)e8+2e8+e8x2(1ex)+ex(4+ee8x2)(8e8+(1+2e8)ee8x2)8e8+2e8+e8x2dx
  3.5.48 3x2+4x32x4+(6x4x2)log(2)2log2(2)+(x2+2x3x4+(2x2x2)log(2)log2(2))log(5x2)x22x3+x4+(2x+2x2)log(2)+log2(2)dx
  3.5.49 1625ex2(420501749712x99100x2+375150x3+10000x420000x5+(33640020000x+792800x2+20000x380000x4)log(5)+(5000+456400x+10000x2120000x3)log2(5)+(4000080000x2)log3(5)20000xlog4(5))dx
  3.5.50 13(6log(1+3log(4)log(4)))dx
  3.5.51 (218e9x2x+3x2)dx
  3.5.52 192x264x312e2x4+e(96x312x4)+ex(48x2+16x3x4+3e2x4+e(24x3+3x4))+(96x216x324ex3+ex(24x2+4x3+6ex3))log(4ex)+(12x2+3exx2)log2(4ex)6432ex4e2x2+ex(16+8ex+e2x2)+(328ex+ex(8+2ex))log(4ex)+(4+ex)log2(4ex)dx
  3.5.53 e5+10e18+5e36dx
  3.5.54 12e4+e12(12x+log(x))(2+e12(12x+log(x))(12x))dx
  3.5.55 7680+2974x+66x211xlog(x)+(3011x)log(30+11x)270x+99x2dx
  3.5.56 312x253+31x+x2dx
  3.5.57 (56+2x+56x3)log(28+3x14x3xlog(x)x)28x3x2+14x4+x2log(x)dx
  3.5.58 e1+ex2(10+ex2(40x20x2+ex(8x4x2)))+e1+ex2+x2(10x+2exx)log(25+10ex+e2x)5+exdx
  3.5.59 44x28x2log(x)(xlog(35x)x3log(x)+xlog(x2))log(log(35x)+x2log(x)log(x2))dx
  3.5.60 4x2+4xlog(x)+2xlog2(x)+2log3(x)xdx
  3.5.61 1625e2x2dx
  3.5.62 2x+2x2+2x3+e(2+2x)e+x2dx
  3.5.63 e4x(2+x)+1944x14+e2x(18x736x8)324x9dx
  3.5.64 34x2+15x3+e2x(36+51x+18x2)+ex(18x66x218x3)+(9x26x3+e2x(918x6x2)+ex(24x2+6x3))log(x)43x39x4+e2x(27x9x2)+ex(54x2+18x3)+(9x3+3x4+e2x(9x+3x2)+ex(18x26x3))log(x)dx
  3.5.65 12e5+x(33x)dx
  3.5.66 3e142/25+e71/25(312x)25+10x+21x2+e142/25x2+4x3+4x4+e71/25(10x+2x2+4x3)+(10+2x+2e71/25x+4x2)log(log(5))+log2(log(5))dx
  3.5.67 e108120x4x2+16x31x2+xlog(5)(120+224x168x216x4+(1084x2+32x3)log(5))1+2x2+x4+(2x2x3)log(5)+x2log2(5)dx
  3.5.68 1(2xlog(x)+xlog(x)log(log(x)))log(2log(log(x)))dx
  3.5.69 14e19dx
  3.5.70 ex(e2x(1+x)+eexx(4x24x3))4x2dx
  3.5.71 1+e4(3x3+2x4+3x5)+2log(53x)e4x3dx
  3.5.72 (4+2x6x2+3e5x2)dx
  3.5.73 4x3log(x)log2(log(x))+e8x5e3x+x210log(log(x))log(log(x))(8+5e3x+(85e3+2x)log(x)log(log(x)))+e8x5e3x+x210log(log(x))2log(log(x))(8x2+5e3x2x3+(8x25e3x2+2x3)log(x)log(log(x))+4xlog(x)log2(log(x)))log(x)log2(log(x))dx
  3.5.74 192x2+12x4x64096+1536x2+272x4+24x6+x8dx
  3.5.75 54x4x21+4x+4x2dx
  3.5.76 48+896x16x2+e2x2(12864x+48x2+192x3)144+9e4x2+96x2+16x4+e2x2(7224x2)dx
  3.5.77 e5(5184122688x)+e5(9120+431840x)log(2x)+e5(67800+684600x)log2(2x)+e5(31500+220500x)log3(2x)8+60log(2x)+150log2(2x)+125log3(2x)dx
  3.5.78 e5x5e2+x+25x2+50x3+25x4x5xlog(log(3x))e2+x+25x2+50x3+25x4+log(log(3x))(5+(5e4+2x+50x2+100x3+50x4+e2+x+25x2+50x3+25x4(55x250x2750x3500x4))log(3x)+(510e2+x+25x2+50x3+25x4)log(3x)log(log(3x))5log(3x)log2(log(3x)))e4+2x+50x2+100x3+50x4log(3x)+2e2+x+25x2+50x3+25x4log(3x)log(log(3x))+log(3x)log2(log(3x))dx
  3.5.79 4x+(9616x)log(2)9x3log(2)dx
  3.5.80 32x10x2+ex(16x5x2)+(30x10x2+ex(15x+10x25x3)+(6+2x+ex(32x+x2))log(12+4x))log(5xlog(12+4x))75x25x2+(15+5x)log(12+4x)dx
  3.5.81 (1+eex+e13eex(2x+2x2)+13eex(2x+2x2)(2+4x+ex(2x+2x2)))dx
  3.5.82 x32x2+(4x+16x2)log(4x+16x2)(4x+16x2)log2(4x+16x2)dx
  3.5.83 1+x+(1+2x+x2)log(x)+(24x)log(x)log(x+x2)(x+x2)log(x)dx
  3.5.84 2+ex2x+2ex2x2log(x)xdx
  3.5.85 (5+iπ+2x2+(4iπ6x2)log(5x)+(1+log(5x))log(x))dx
  3.5.86 192x48x2+ex/16(48x16x2)+(48x+ex/16(13x+x2))log(48+12x+ex/16(12+4x))+(96+24x+ex/16(24+8x))log2(48+12x+ex/16(12+4x))96+24x+ex/16(24+8x)dx
  3.5.87 13x+3x221x7+3x8+xlog(2x)3x2+3x8+xlog(2x)dx
  3.5.88 2x+e12(2+ex)(4xexx2)+4xlog(9x)e2+ex+2e12(2+ex)log(9x)+log2(9x)dx
  3.5.89 8x2x3+ee5x(12e6+3ex2)x2log(5)4x2+3e1+e5xx2x3x2log(5)dx
  3.5.90 2x2+(12x+e2x)log2(15+e)xlog2(15+e)dx
  3.5.91 1+x+18e16e1+3x+3xxxdx
  3.5.92 (4816x)log(3)80x4+40x5+5x6dx
  3.5.93 10+e2e2dx
  3.5.94 elog(6exx2)xlog(log(1x))log(log(1x))((ex+x2)log(6exx2)+(e(1x)2x+2x2)log(1x)log(log(1x))+(x2x2+x3+e(1+2xx2))log(1x)log2(log(1x)))(e(1+x)+xx2)log(1x)log2(log(1x))dx
  3.5.95 15x3+ex(20+3x2)ex7dx
  3.5.96 2e2x+e2x(4+2x)log(2x)(2+x)log3(2x)dx
  3.5.97 1+3x2x2+xlog(x)xdx
  3.5.98 18+54x+75x2+144x3+104x4+96x5+48x6+e5(40x+80x2+40x3)9+18x+33x2+48x3+40x4+32x5+16x6dx
  3.5.99 (ex2(600+4090x+1200x2+90x3)+ex2(400+60x)log(x)+ex2(200+60x+400x2+60x3)log2(x)+20ex2xlog3(x)+ex2(10x+10x3)log4(x))dx
  3.5.100 2x2+(1+x)log(4)+xlog(30)xdx