3.90 Integrals 8901 to 9000

  3.90.1 18xx2+4x3+(1+4x)log(14x)1+4x2x2+8x3x4+4x5+(28x+2x28x3)log(14x)+(1+4x)log2(14x)dx
  3.90.2 20log2(2)640x+448x2+(480x+336x2)log(107x2x)+(120x+84x2)log2(107x2x)+(10x+7x2)log3(107x2x)dx
  3.90.3 4+(160160x40x2)log(2)4+4x+x2dx
  3.90.4 27e8x+e4x(64256x144x2)9e8x24e4xx+16x2dx
  3.90.5 exdx
  3.90.6 10+150x+56x2114x324x4+24x5+ex2(150x+60x2114x324x4+24x5)75+30x57x212x3+12x4dx
  3.90.7 e5(25+25x)log(4)+25e5log(4)log(x)+25e5log2(x)x2log2(x)dx
  3.90.8 65536+524288x595968x2+6672x317x4+e3(524288x6144x2+16x3)+(131072x132608x2+1540x34x4+e3(131072x1536x2+4x3))log(1+e3x)65536+65536e365536xdx
  3.90.9 75+225x+(150x30ex+30x2150xlog(5))log(3x)+(30x+e2x+10x2+x3+e(10x2x2)+(50x+10ex10x2)log(5)+25xlog2(5))log2(3x)225x+(150x30ex+30x2150xlog(5))log(3x)+(25x+e2x+10x2+x3+e(10x2x2)+(50x+10ex10x2)log(5)+25xlog2(5))log2(3x)dx
  3.90.10 (26+4x)log(13xx2)39x+3x2dx
  3.90.11 ee10(e5+x(2+x)+4e5x)5x3dx
  3.90.12 96x+x2+e2x(24x220x3+8x4)log(2)9x6x2+x3dx
  3.90.13 (10x+27x2+12x3+e4+x(150x75x2))dx
  3.90.14 e2+33x+e2e3x(1+x)+log(2)1+x(x2x2x3+e3+2e3x(24x2x2)x2log(2))2x3+4x4+2x5dx
  3.90.15 548e3xx212e6xx22x2dx
  3.90.16 5x2+e(5x2+10x3)log(3)+(4x+10e4x10x2+e(10x2+10x3)log(3))log(15(25e4+5x+e(5x5x2)log(3)))2+5e45x+e(5x+5x2)log(3)dx
  3.90.17 e2(23x)+10x+(3e2x15x2)log(15xe2+5x)2e2x+10x2dx
  3.90.18 6+8x2e4x+12x22xlog(x)9e13(5xe4x+3x2xlog(x))6xdx
  3.90.19 180e18x2+3x3+2e2xx35x3dx
  3.90.20 14x+2x2+x3x+x3dx
  3.90.21 1xlog(x)log(3log(x))dx
  3.90.22 15625000x+78125000x2+(2500x+25000x2)log(9)+2x2log2(9)+(3125000+15625000x+2500xlog(9))log(x)15625xdx
  3.90.23 3e3e6ex+e6x4x4dx
  3.90.24 (17x+8x2)log(14(x+8x2))+(x16x2+(1+16x)log(x)+(x+8x2+(18x)log(x))log(14(x+8x2)))log(25x+25log(x))+(2x316x4+(2x2+16x3)log(x))log2(25x+25log(x))(x38x4+(x2+8x3)log(x))log2(25x+25log(x))dx
  3.90.25 e2e42x(2x2x2+e2e4(22e28ex8x2)+ee4(2+4x+8x2+e(2+4x)))dx
  3.90.26 1250+1300x440x2+48x3+e3x(100112x+38x24x3)+(250+250x80x2+8x3+e3x(2018x+4x2))log(25+e3x(2x)+15x2x25+2x)625x+625x2200x3+20x4+e3x(50x45x2+10x3)+(125x+125x240x3+4x4+e3x(10x9x2+2x3))log(25+e3x(2x)+15x2x25+2x)dx
  3.90.27 2x4+(120+60xx3)log2(2)x3log2(2)dx
  3.90.28 2016+1260x+252x2320x3+(504+189x+80x3)log(4)256x3+128x4+16x5dx
  3.90.29 16x3+(32x232x3)log(e(1+x))+e6+2x+2log2(x)(16x+log(e(1+x))(32x32x2+(6464x)log(x)))+e3+x+log2(x)(32x2+log(e(1+x))(32x32x3+(64x64x2)log(x)))x+x2dx
  3.90.30 120115x+e1+3x(80+260x180x2)+e2+6x(120x+120x2)+(80+80x+e1+3x(120x+120x2))log(x2)x+x2dx
  3.90.31 41x(ex(x2log(4))+e5xx2(5x22x3log(4))2log(4))log(log(log(5)))x2dx
  3.90.32 eee5+x2+xx2e5+x2+x(8x+6x2+e5x2+2x3)4+4x+x2dx
  3.90.33 ex(160x+1360x2+2400x3720x4+(240x2+880x3240x4)log(3)+(80x320x4)log2(3))dx
  3.90.34 12x3x2+e(64+64x16x2)e(44x+x2)dx
  3.90.35 e4+25+40log(3+x2)+e4+exxlog2(3+x2)+(16+e4x2)log2(3+x2)e4xlog2(3+x2)(100x2+(75105x2)log(3+x2)+(12040x2)log2(3+x2)+e4+ex+x(3x2+x4)log3(3+x2)+(4816x2+e4(3x2+x4))log3(3+x2))(3x2+x4)log3(3+x2)dx
  3.90.36 3e2x2log(5)(2e2x3+2xlog(5))log(14(e2x3+xlog(5)))dx
  3.90.37 36x4162e4x4+81x4log(3)+e4x(162e4+81log(3))+e3x(648e4x324xlog(3))+e2x(108x2972e4x2+54x3+18x4+486x2log(3))+ex(144x3+648e4x354x418x5324x3log(3))324e8x436e4x5+x6+(324e4x4+18x5)log(3)+81x4log2(3)+e4x(324e8324e4log(3)+81log2(3))+e3x(1296e8x+1296e4xlog(3)324xlog2(3))+e2x(1944e8x236e4x3+(1944e4x2+18x3)log(3)+486x2log2(3))+ex(1296e8x3+72e4x4+(1296e4x336x4)log(3)324x3log2(3))dx
  3.90.38 eex+xx3+ee9x2+5x+e9x2x(e9x2+5x(185x)+e9x2(18x+x3))x3dx
  3.90.39 54104x24x2+ex(2x56x28x3)+(56+16x+ex(56x+8x2))log(x)x28x24x3+(28x+4x2)log(x)dx
  3.90.40 864+32x2x2+e3e5+3x(576+1728x216x2)+e6e5+6x(96+576x72x2)2916x2+432e9e5+9xx2+36e12e5+12xx2+108x3+x4+e6e5+6x(1944x2+12x3)+e3e5+3x(3888x2+72x3)dx
  3.90.41 9e2x2dx
  3.90.42 9e5+x2+ex(225225x9x2)x2dx
  3.90.43 (2+10e210e2+x+x)dx
  3.90.44 5e+x2e1+xx2ex2dx
  3.90.45 ee80+ex+36x+24x2+4x316+4x+4x2(64+32x+36x2+8x3+4x4+e80+ex+36x+24x2+4x316+4x+4x2(64x32x236x38x44x5+ex(3x+x2x3)))16+8x+9x2+2x3+x4dx
  3.90.46 10040x2+4x4+e9(5x+x3)100x40x3+4x5dx
  3.90.47 e6x2(40+100x102x2+48x310x4+(4050x+34x212x3+2x4)log(20x25x2+17x36x4+x5))(20x25x2+17x36x4+x5)log3(20x25x2+17x36x4+x5)dx
  3.90.48 2x+ex(x+x2)+ex(xx2)log(exx)4log(x2)xdx
  3.90.49 192+96x60x2104x3+13x432x5+4x6+14e(4+x2)(128x3+64x48x5)256x2128x3+80x432x5+4x6dx
  3.90.50 e3ex+e3ex12xlog(3)x12xlog(3)(1+3exx12xlog(3))dx
  3.90.51 6640625516x4+(796875+20x4)log(x2)31875log2(x2)+425log3(x2)390625+46875log(x2)1875log2(x2)+25log3(x2)dx
  3.90.52 ee3+x(25x)+ex2xx(2ex2x3+e3+x(25+25xx2))x2dx
  3.90.53 ex1080135e5+exdx
  3.90.54 2+e12(x+x3)(6+3xx2+(93x)x3)+2log(x)+(e12(x+x3)(6+2x)+2log(x))log(xe12(x+x3)(3+x)+log(x))e12(x+x3)(6+2x)+2log(x)dx
  3.90.55 (8+2x)log(5x)+((8+2x)log(x)+(16+2x)log(x)log(5x))log(log(x))x3log(x)log2(5x)log2(log(x))dx
  3.90.56 100+4e10+4e2x360x+334x29x3+e5(40+72x2x2)+ex(40+8e5+72x2x2+x3)100x+4e10x+4e2xx360x2+324x3+e5(40x+72x2)+ex(40x+8e5x+72x2)dx
  3.90.57 (7+5x2)log(15(75x2))+(10x2+(75x2)log(15(75x2))+log(5x)(10x2+(75x2)log(15(75x2))))log(1+log(5x))+(7x+5x3+(7x+5x3)log(5x))log2(1+log(5x))(7x2+5x4+(7x2+5x4)log(5x))log2(1+log(5x))dx
  3.90.58 ee5x(e3(x2+x3)+ee5+x(3+9x4))3x2dx
  3.90.59 800+e5(20200x)+1000x+e10(10+12x)e10dx
  3.90.60 8e14(4x3+x3log(5))x+e12(4x3+x3log(5))(60x2+12x4+(15x2+3x4)log(5))+(8x+e14(4x3+x3log(5))(60x212x4+(15x23x4)log(5)))log(5+x2)10+2x2dx
  3.90.61 9+18x272x3+90x436x5+ex(99x+18x254x3+36x4)x+exxx2dx
  3.90.62 1024e4+4xdx
  3.90.63 13122+34992x+40824x2+27216x3+11340x4+3024x5+504x6+48x7+2x8+(162+216x+108x2+24x3+2x4)log(4x)+(81+324x+378x2+192x3+45x4+4x5)log2(4x)+2x2log4(4x)6561+17496x+20412x2+13608x3+5670x4+1512x5+252x6+24x7+x8+(162x+216x2+108x3+24x4+2x5)log2(4x)+x2log4(4x)dx
  3.90.64 17+e64dx
  3.90.65 ex(4x8x2)+e(2x2x3)+(4exx+e(4x2x2))log(2x)+e(2x)log2(2x)5e1+xx5+10e1+xx4log(2x)+5e1+xx3log2(2x)dx
  3.90.66 5e8+18xx2+5x4+e.25/x(9x+15x2)+e4+9x(10x3+e.25/x(6+135x2))+(6e.25/x10e4+9xx210x3)log(x)+5x2log2(x)60e8+18xx2+120e4+9xx3+60x4+(120e4+9xx2120x3)log(x)+60x2log2(x)dx
  3.90.67 e19(1e2x+xlog(2+x)10x)(9055x50x2+e2x+xlog(2+x)(20x15x2+(10x5x2)log(2+x)))18+9xdx
  3.90.68 13e13ee5(e4e3x+x)(3+3e13ee5(e4e3x+x)+ee5(3+e7e3x(3+x)x))dx
  3.90.69 12(2+e2+2x+e2x(2+2x)+(22x)log(x)(1+e2x(6x+4x2)2xlog(x)))dx
  3.90.70 48+64e+32x+ex2(4864e32x+128x2)+(64+64ex2)log(x+ex2x)x216e2x22x3x4+e(8x28x3)+ex2(x2+16e2x2+2x3+x4+e(8x2+8x3))+(8x2+32ex2+8x3+ex2(8x232ex28x3))log(x+ex2x)+(16x2+16ex2x2)log2(x+ex2x)dx
  3.90.71 25e2e3+125x4100x5+ee3(150x2100x3)+e2ex+x2(5x44x5+ex+x2(2x5+2x64x7)+e2e3(1+ex+x2(2x+2x24x3))+ee3(6x24x3+ex+x2(4x3+4x48x5)))+eex+x2(50x4+40x5+ex+x2(10x510x6+20x7)+e2e3(10+ex+x2(10x10x2+20x3))+ee3(60x2+40x3+ex+x2(20x320x4+40x5)))12x+x2dx
  3.90.72 1144x96x2+(720x480x2)log(5)+(900x600x2)log2(5)xdx
  3.90.73 196e196e3e2x2dx
  3.90.74 e3+x+10x+e3+xxlog(x)5xdx
  3.90.75 e4x(4+(42x)log(4x2))5x3log2(4x2)dx
  3.90.76 e4e2+x2+e2log(x)e2(12x2+4x4+e2(6+6x2))e5x+e2+4e2+x2+e2log(x)e2(6x+2x3)dx
  3.90.77 e4x2(2x4+(12x34x424x5+8x6)log(3+x))(3+x)log3(3+x)dx
  3.90.78 (5+e8(4020x)+e16(40x+15x2))dx
  3.90.79 (1920x576x2+e4/x(640x+192x2))log(3+e4/x)log(log(3+e4/x))+512e4/xlog(5log(log(3+e4/x)))+(384x+128e4/xx)log(3+e4/x)log(log(3+e4/x))log2(5log(log(3+e4/x)))(3+e4/x)log(3+e4/x)log(log(3+e4/x))dx
  3.90.80 60+20x+40x232x3+(20+20x)log(12x+x2)225+1515x3379x2+2777x3752x4+64x5+(150+610x626x2+182x316x4)log(12x+x2)+(25+35x11x2+x3)log2(12x+x2)dx
  3.90.81 (250+10x+e30x21x2+3x3(270378x+81x2))dx
  3.90.82 e4x(9e2+e2x4ex+x2x+3e1+x2(2+4x)+e2x2(1+4x))dx
  3.90.83 2+4x22x3+ex(2x4x2+x4+2x5+e3(4x2x4))+ex(x3x2x3+2x4+e3(2x+2x22x3))log(1+xx2)+log(x)(ex(4x2x4)+ex(2x+2x22x3)log(1+xx2))x+3x2+x32x4+e3(2x2x2+2x3)+(2x2x2+2x3)log(x)dx
  3.90.84 37x2+9x32x4+3x5+(39x16x212x39x4+3x5)log(x)x2+3x33x4+x5dx
  3.90.85 150+ex(28+8x+4x2)+40log(4)1530x+15x2dx
  3.90.86 1536x+640x296x372x48x5+ex(38464x+40x2+8x3)+(4e3x+e2x(96112x16x2+8x3)+ex(384x+288x2+144x320x48x5))log(x)+(1536640x+96x2+72x3+8x4+(1536x384x2+288x3+120x4+12x5+e2x(48+12x)+ex(768416x280x2+8x4))log(x))log(log(x))+(1536+128x480x2168x316x4+ex(192+96x+12x2))log(x)log2(log(x))+(256+192x+48x2+4x3)log(x)log3(log(x))e3xlog(x)+e2x(12+3x)log(x)log(log(x))+ex(48+24x+3x2)log(x)log2(log(x))+(64+48x+12x2+x3)log(x)log3(log(x))dx
  3.90.87 96x23log(x)+(6+8x8x2+6x3+(33x)log(x))log(62x+6x23log(x)x)(6x+2x26x3+3xlog(x))log(62x+6x23log(x)x)dx
  3.90.88 e1+xx3+e(32+x3)+x3log(2)ex3dx
  3.90.89 2205x+e2+x(44+21x)20x+4e2+xxdx
  3.90.90 16+8x2+x4+e5+x(16x8x3x5)+e5(4x+x3)log(2)+(ex(16x8x3x5)+(4x+x3)log(2))log(x4)e5(256x+128x3+16x5)+(256x+128x3+16x5)log(x4)dx
  3.90.91 2log(1log(2x)e)4x4xlog(2x)+(x+xlog(2x))log2(1log(2x)e)dx
  3.90.92 20x+(50+20x)log(12(5+2x))605x2+242x3+(1100x+440x2)log(12(5+2x))+(500+200x)log2(12(5+2x))dx
  3.90.93 e14(12x34x4+4log(exx10))(44x3x316x4)4xdx
  3.90.94 x+e4log2(3)x2dx
  3.90.95 92e15(2+e3)x+x2+x4+2x5x4dx
  3.90.96 2+4log(x)xlog(x)dx
  3.90.97 eex2x(10e2x+5e3xx50eexx3+e2ex+x(e3xx2+e2x(x+x2)))x3dx
  3.90.98 8388608e10+6e5e58xdx
  3.90.99 e82ee1+x6x2(122e1+e1+x+xx3)x3dx
  3.90.100 35x3+7x4+e3x(5x32x4)+(28x3+4e3xx3)log(3exx28+4e3x)7+e3xdx