3.41 Integrals 4001 to 4100

  3.41.1 1568e116e4+log2(2)x(49+16x2)(196+64x2)dx
  3.41.2 1224x20e6x4e6xlog(x)36x+24x2+4x3+(12x+4x2)log(x)+xlog2(x)dx
  3.41.3 e4+ex25+xx(500200x20x2+e4(50x20x22x3)+ex25+x(200x+20x2+e4(20x+22x2+2x3)))25+10x+x2dx
  3.41.4 e4+x+x4x3(3x4+(36+42x+6x2+3x33x5)log(2+2x))x3+x4dx
  3.41.5 4(5+iπ)22e8x2+4e16x4+(5+iπ)(28e8x2)(5+iπ)22e8(5+iπ)x2+e16x4dx
  3.41.6 440x100x2+x5+10x6+25x7+e4x21+5x(8x6+20x7)x5+10x6+25x7dx
  3.41.7 22xxlog(1625e2xx2)xlog(1625e2xx2)dx
  3.41.8 e6+3e3(1log(4))+e6+3e3log(x)xlog(4)+xlog(x)dx
  3.41.9 e2x+e2x(225x6+90x7+9x8+e2x(25450x+1645x2+3360x3+1984x4+456x5+36x6)+ex(150x3+1320x4+1410x5+408x6+36x7))(1350x5+180x6108x718x8+e2x(450+3290x+10080x2+7936x3+2280x4+216x5)+ex(450x2+5430x3+5730x4+1038x5156x636x7))dx
  3.41.10 2x2+(4x+2x2)(iπ+log(54))+(24x+x2)(iπ+log(54))2+(x3+(2x2+x3)(iπ+log(54))+(xx2)(iπ+log(54))2)log(x2+(x+x2)(iπ+log(54))iπx+log(54))x3+(2x2x3)(iπ+log(54))+(x+x2)(iπ+log(54))2+(2x3+(4x22x3)(iπ+log(54))+(2x+2x2)(iπ+log(54))2)log(x2+(x+x2)(iπ+log(54))iπx+log(54))+(x3+(2x2x3)(iπ+log(54))+(x+x2)(iπ+log(54))2)log2(x2+(x+x2)(iπ+log(54))iπx+log(54))dx
  3.41.11 763x25+xdx
  3.41.12 108111x267x2+6x3+143x4+39x5+(7230x99x227x3)log(x)+(12+4x)log2(x)+(72+30x+99x2+27x3+(248x)log(x))log(15+5x)+(12+4x)log2(15+5x)279x57x2+x3+33x4+9x5+(1820x26x3)log(x)+(3+x)log2(x)+(18+20x2+6x3+(62x)log(x))log(15+5x)+(3+x)log2(15+5x)dx
  3.41.13 x2+(40x2x2)log(20+x)log(log(20+x))(240+12x)log(20+x)dx
  3.41.14 1441e1441(441+42x+x2)(42+2x)dx
  3.41.15 x5+e2(2xe25x+x2xlog(x))(4+2x2e25x+4x22xlog(x))+e32(2xe25x+x2xlog(x))(12x+6x26e25x2+12x36x2log(x))+e2xe25x+x2xlog(x)(12x2+6x36e25x3+12x46x3log(x))+e12(2xe25x+x2xlog(x))(4x3+2x42e25x4+4x52x4log(x))x5dx
  3.41.16 50625x+50xlog(x2)+xlog2(x2)dx
  3.41.17 e5+e2(6+8x)e5dx
  3.41.18 ee4+xx+2x2+xlog(x)+(16x+ee4+x(16+15x+x2)+(16+x)log(x))log(16+x)64x2+4x3+e2e4+2x(16+x)+ee4+x(64x4x2)+(ee4+x(322x)+64x+4x2)log(x)+(16+x)log2(x)dx
  3.41.19 2+4ex+e1+x(2+4ex)+(4exx+2e1+xx)log(x)x+4exx+4e2xxdx
  3.41.20 e2e(16+e2e(5+2x3))x2dx
  3.41.21 (6+2xx+x2)x+x2(3+3x5x2x3+(3+2x+7x2+2x3)log(6+2xx+x2))3+4x+x2dx
  3.41.22 318x+e2511x+x2(11x2x2)18xlog(x)xdx
  3.41.23 10e2xdx
  3.41.24 exdx
  3.41.25 log2(e10+2x+2log2(x))+log(e10+2x+2log2(x))(4x+8log(x))log4(2)dx
  3.41.26 1932xdx
  3.41.27 e4+x(155x)2x4dx
  3.41.28 3130x30x230log(x)30x2dx
  3.41.29 (10+2e6+2x)dx
  3.41.30 22x+ex(2x2x3)2x2exx3+2xlog(x3e5)dx
  3.41.31 13x4x2+ex+x2(14+4x3x22x3)+(ex+x2(12x)+x+2x2)log(ex+x2x+x2)3ex+x23xdx
  3.41.32 1600x4+1250x5+300x6+25x7+e625x3(1152864x216x218x3)1600x4+1200x5+300x6+25x7dx
  3.41.33 2+2xx2x3+(2xx2+x3)log(x2x+x2)10x5x2+5x3dx
  3.41.34 48+ee4+ex(1616e4+ex+x)3+ee4+exdx
  3.41.35 1xxdx
  3.41.36 1xdx
  3.41.37 19(9+e8x(2502000x)+e12x(961152x)+e6x(48288x)+e16x(116x)+e14x(16+224x)+e4x(96+384x)+e10x(256+2560x))dx
  3.41.38 468512log(5x)+e22xx2(702768log(5x)+(702768702768x)log2(5x))+e1xx(937024log(5x)+(468512468512x)log2(5x))+e33xx3(234256log(5x)+(351384351384x)log2(5x))+e44xx4(29282log(5x)+(5856458564x)log2(5x))xdx
  3.41.39 15+5x4x4+(20x+8x5)log(x)4x6log2(x)x42x5log(x)+x6log2(x)dx
  3.41.40 6+5x+2x2+xlog(x2)xdx
  3.41.41 20x+e2x(50+10x2)+e2x(102x2)log(25+10x2+x4)255x2+(5+x2)log(25+10x2+x4)dx
  3.41.42 e3212e13(ex+3x)4x12x24+x(4896x12x2+e13(ex+3x)(3612x+ex(16+4x)))16+8x+x2dx
  3.41.43 8x44x5+(20x4+8x5)log(2x)+(7272x+18x2)log3(2x)(3636x+9x2)log3(2x)dx
  3.41.44 3+3e26x3log(9e6)x2+e4x2+2x3+x4+e2(2x22x3)+(2x22e2x2+2x3)log(9e6)+x2log2(9e6)dx
  3.41.45 1+log(x)x2dx
  3.41.46 8+22x+13x213xlog(3exx22)+2xlog2(3exx22)xlog2(3exx22)dx
  3.41.47 (8+6e6x4x)dx
  3.41.48 2log(2)4e3+xlog(2)2e3+xxlog(2)log(x2)+(log(2)2e3+xlog(2))log(x2)log((12e3+x)log(x2))(x2+2e3+xx2)log(x2)log2((12e3+x)log(x2))dx
  3.41.49 8+16x+e3(6x3x26x3)8+3e3x2dx
  3.41.50 9x46x5+6x6+e16ex(4+4xx2)+e8ex(12x2+6x312x4+3x5+ex(32x4+32x58x6))9x5+e16ex(4x4x2+x3)+e8ex(12x3+6x4)dx
  3.41.51 e4x2+x2log(169)20log(50x)(4x2x2log(169)+(400x+8x2+(100x+2x2)log(169))log(50x))(1000+20x)log2(50x)dx
  3.41.52 exe12(2+2x)2(1x)+e12(1+x)(2+2x)2e12(1+x)(2+2x)2dx
  3.41.53 (e4x(36x336x4)+e2x(72x+72x2+e(12x+12x2)))dx
  3.41.54 e2x(820x+24x214x3+2x4)+e3+x(5184x3+3888x4972x5+81x6)5184x3+3888x4972x5+81x6dx
  3.41.55 15e15(60+15ex+15x2(3e+3x)log(x))(20x6x2+60x3+e(6x+30x2)6x2log(x))dx
  3.41.56 e115(12+5e216x+4x2+4xlog(25+10x+x2)4x+x2+xlog(25+10x+x2)x)+216x+4x2+4xlog(25+10x+x2)4x+x2+xlog(25+10x+x2)(40+64x28x23x3+x4+(1042x+2x2+2x3)log(25+10x+x2)+(5x+x2)log2(25+10x+x2))240x72x29x3+3x4+(120x+6x2+6x3)log(25+10x+x2)+(15x+3x2)log2(25+10x+x2)dx
  3.41.57 8x416x58x6+(16x4+40x5+24x6+e2+x(4x34x4)+e3(16x3+40x4+24x5))log(e3+x)+ex(e5(12x2+20x3+4x4)+e2(12x3+20x4+4x5))log2(e3+x)+e2x(e7(2x+2x2)+e4(2x2+2x3))log3(e3+x)(e3+x)log3(e3+x)dx
  3.41.58 102x+e26x(5+x)2(10+30x+6x2)5xx2+e26x(5+x)2(5x+x2)dx
  3.41.59 e9x+3x2+(3x+x2)log(1+eex+x)(9+6x+7x2+eex(9+6x+ex(3x+x2))+(3+x+2x2+eex(3+2x))log(1+eex+x))1+eex+xdx
  3.41.60 e3(4+x2)16+16x4x24x3+x4dx
  3.41.61 288+504x+16x2144x504x2437x3+16x3log(x)dx
  3.41.62 e9e5xlog(eexlog(x))+5xlog(eexlog(x))(4545eex+xx+(45eex45log(x))log(eexlog(x)))(eexlog(x))log2(eexlog(x))dx
  3.41.63 ex(ex(4+8x3)+e2ex(3x+6xlog(x)+3xlog2(x))(72x224x3+(96x248x3)log(x)+(24x224x3)log2(x))+eex(3x+6xlog(x)+3xlog2(x))(8exx2+72x324x4+(96x348x4)log(x)+(24x324x4)log2(x)))x2dx
  3.41.64 213x+7x2x3+ex(5+x)+(5+2xx2)log(x)+(5ex+4xx2+(1x)log(x))log(x2)4x5x2+x3+ex(x+x2)+(x+x2)log(x)+(4x+exx+x2+xlog(x))log(x2)dx
  3.41.65 1x+log(log(5)4)dx
  3.41.66 15(30+e(19+20x))dx
  3.41.67 19e24x(27e24+4x+e24(9+9x)+ex(32x7256e3x7+896e6x71792e9x7+2240e12x71792e15x7+896e18x7256e21x7+32e24x7))dx
  3.41.68 (8x139x2+eex(2xexx2)+51x2log(x))dx
  3.41.69 104+9x+1803x2+(4+147x2)log(x)+3x2log2(x)1875x2+150x2log(x)+3x2log2(x)dx
  3.41.70 8x+4e2xx+ex(44x4x2)4e3xx4e2xx2+(4e2xx+4exx2)log(x2)+(exxx2)log2(x2)+(8e2xx+8exx2+(4exx4x2)log(x2))log(ex+x)+(4exx4x2)log2(ex+x)dx
  3.41.71 1+3x+2x2x+2x2dx
  3.41.72 8x+(12x+16x2)log(2)+(12+8x+(12x+8x2)log(2))log(9+6x+(9x+6x2)log(2)x)3+2x+(3x+2x2)log(2)dx
  3.41.73 e3/x(24095x)2240x2+310x310x4+e5(1280x160x2+5x3)3e6/xx3+588x584x6+3x7+e10(768x396x4+3x5)+e5(1344x4+180x56x6)+e3/x(84x46x5+e5(96x3+6x4))dx
  3.41.74 x3+x2(2+x2+2x2log(x))dx
  3.41.75 2e6x+2e3x2+(2e3x22x3)log(15x16)+(4e3x+(2e3x6x2)log(15x16))log(x)+(2e36xlog(15x16))log2(x)2log(15x16)log3(x)+(4e3x+(2e3x+6x2)log(15x16)+(4e3+12xlog(15x16))log(x)+6log(15x16)log2(x))log(2x)+(2e36xlog(15x16)6log(15x16)log(x))log2(2x)+2log(15x16)log3(2x)x43x3log(x)3x2log2(x)xlog3(x)+(3x3+6x2log(x)+3xlog2(x))log(2x)+(3x23xlog(x))log2(2x)+xlog3(2x)dx
  3.41.76 (2xx2+2x3+ex(1x+x2))log(x)+(exxx2)log(x)log(exx+x2)+(2exx2x2+(2ex+2x)log(exx+x2))log(log(x))+(ex+2xx2)log(x)log2(log(x))(2exx+2x2)log(x)dx
  3.41.77 15(9+6x3x2+ex(15+5x)+(9+15x11x2+ex(155x+5x2))log(x)+(3x+x2+(6x+3x2)log(x))log(xlog(x)))dx
  3.41.78 23ex(126x)+3ex(126x)(2+ex(12x12x2)log(3))log(x)log(log(x))log(x)dx
  3.41.79 ex3((124x)log(3x)+(4x+(36x3+12x4)log(3x))log(x)+(ex3(3x)log(3x)+ex3xlog(x))log(log(4)))(3x+x2)log2(3x)dx
  3.41.80 1log(175(12x+4xlog(2)))2log2(175(12x+4xlog(2)))log2(175(12x+4xlog(2)))dx
  3.41.81 50x420x3log(log(4))2x2log2(log(4))+ee5+x10x32x2log(log(4))10x2+2xlog(log(4))(10e5x5x250x4+(e520x3)log(log(4))2x2log2(log(4)))50x4+20x3log(log(4))+2x2log2(log(4))dx
  3.41.82 e(1x)+e6(x+2x2)exlog(x)+(e6(2+xx2)+e(1+x)log(x))log(e5(2x+x2)+(1x)log(x)e5)+(e10(2+xx2)+e5(6+x+5x22x3)+(3+e5(1+x)5x+2x2)log(x))log2(e5(2x+x2)+(1x)log(x)e5)(e5(2+xx2)+(1+x)log(x))log2(e5(2x+x2)+(1x)log(x)e5)dx
  3.41.83 18123x2+160x360x4+e2/x(128x+6x22x3)15x2dx
  3.41.84 e1log4(2x5x6+(2xx2)log(36))(40x424x5+(88x)log(36))(2x5+x6+(2x+x2)log(36))log5(2x5x6+(2xx2)log(36))dx
  3.41.85 (2+3e5x2)dx
  3.41.86 23xxdx
  3.41.87 (6x)log(4)+(3x)log(4)log(3+x)3x2+x3dx
  3.41.88 (2exx+2x2)log2(x)+((ex(102x)+10x+2x2)log2(x)+(10x+12x2+2x3+e2x(10x+2x2)+ex(10x12x22x3))log3(x))log(5+x)+(2xlog(x)+((108x2x2+ex(10+2x))log(x)+(10x+2x2+ex(10x2x2))log2(x))log(5+x))log(xlog(5+x))+(102x)log(5+x)log2(xlog(5+x))(5x+x2)log3(x)log(5+x)dx
  3.41.89 (2+4e2x+e2+2x+2x2(4+8x)+e1+2x+x2(8+8x))log(4e2x+2e1+2x+x2+e2+2x+2x2x)e2x+2e1+2x+x2+e2+2x+2x2xdx
  3.41.90 (32x8e3x25e6x4+(46e3x2)log(x)log2(x))dx
  3.41.91 e2ex+x2(ex+x2(8x16x2)e2ex+x2xlog2(16)+2e2ex+x2+log2(x)log2(16)log(x))xlog2(16)dx
  3.41.92 (141+10x+ex(1+x)log2(5))dx
  3.41.93 e8e4(4e2e412x2)(x3+e2e4(3+x))3dx
  3.41.94 6+2x+4x2+2x34log(3x2)+(3+2x2)log2(3x2)6x+3x2+3xlog2(3x2)dx
  3.41.95 (1iπ2x6x2log(1+e5)4xlog(4x+e4x))dx
  3.41.96 1650150x+(968x3+88x4+2x5)log2(3)12100x2+1100x3+25x4dx
  3.41.97 3+xx(3+3log(x))+(xxx)log(x+xx)(3x+3xx)log(x+xx)dx
  3.41.98 3e4log(2)2x2dx
  3.41.99 2e4+e16+32x9x2+4x3x44e4(169x+6x22x3)2e4dx
  3.41.100 ee2x+8x2+2exx2x4x2log2(2)x2(e2x(22x)+2exx32x4)x3dx