3.42 Integrals 4101 to 4200

  3.42.1 40x90x220x3+(60+220x50x210x3)log(96x+x2)+(93x2+31x3)log2(96x+x2)(3x211x38x4+4x5)log2(96x+x2)dx
  3.42.2 4+ee182ex2x+4xxlog(3)(16+e182ex2x(88ex)4log(3))25+e2e182ex2x+8x2xlog(3)10x+x2+ee182ex2x+4xxlog(3)(10+2x)dx
  3.42.3 e2x(12x+(36x2)log(4))3log(4)dx
  3.42.4 13(2533ex+96x)dx
  3.42.5 (28+2x)dx
  3.42.6 40952047x+384x232x3+x4+ex(40952047x+384x232x3+x4)+(20472815x+864x2100x3+4x4+ex(2047+768x96x2+4x3))log(1+ex+xlog(3))1+ex+xdx
  3.42.7 1+x+exxexxx2+xlog(1035)+xlog(x)dx
  3.42.8 e4(207360810x)+e9(17694720+138240x+270x2)81+e4(14155776110592x216x2)+e15(2013265922359296x9216x212x3)+e20(4294967296+67108864x+393216x2+1024x3+x4)+e8(618475290624+9663676416x+56623104x2+147456x3+144x4)+e3(e2(27648108x)+e6(2415919104+28311552x+110592x2+144x3))+e6(e4(3538944+27648x+54x2)+e8(1030792151041610612736x9437184x224576x324x4))dx
  3.42.9 30x210x4+(3010x2+9x56x7+x960x6log(3))log(x)+(18x312x5+2x7120x4log(3))log2(x)+(9x6x3+x560x2log(3))log3(x)+((3050x2+40x4)log(x)+20x2log2(x))log(log(x))(9x56x7+x9)log(x)+(18x312x5+2x7)log2(x)+(9x6x3+x5)log3(x)dx
  3.42.10 19200+3840x+(132x)log(1+64x+1024x2)(5159x+32x2)log(1+64x+1024x2)dx
  3.42.11 e2(200300x)+48x104x2+40x3+24x412x5+e(80200x160x2+120x3)+(160+128x+100e2x+192x2112x316x4+4x5+e(400+560x+80x240x3))log(x)+(200260x200ex80x2+40x3)log2(x)+100xlog3(x)25e2x3+4x54x6+x7+e(20x410x5)+(50e2x212x4+2x5+2x6+e(10x320x4))log(x)+(25e2x11x3+16x4+x5+e(80x210x3))log2(x)+(50ex+30x2+10x3)log3(x)+25xlog4(x)dx
  3.42.12 90+84x27x2+4x3+(144+72x12x2)log(126x+x2)36x+18x23x3+(10854x+9x2)log(126x+x2)dx
  3.42.13 e14(2log(4))((9x2)log(4)+e14(2+log(4))(18x+2x3+4xlog(4)))(9+x2)log(4)dx
  3.42.14 2x42x4log(x)+(5x2+x4+(5x2+x4)log(x))log(5+x2)+(2x2+2x2log(x)+(5x2+(5x2)log(x))log(5+x2))log(1+log(x))+(5+9x2+2x4+(10x2+2x4)log(x))log(5+x2)log(x2log(5+x2))(5x+x3+(5x+x3)log(x))log(5+x2)dx
  3.42.15 488281257558272e16x11dx
  3.42.16 9e+9e5+9x2e2(e+e5x)(x2x2x3+e(1+2x+x2)+e5(1+2x+x2))dx
  3.42.17 ex(64+16x4+x8)+ex(64+8x4)log(x2)+16exlog2(x2)+e5x3+x4ex(8+x4)+4exlog(x2)(80x216x38x45x65x7x8+(60x24x34x4)log(x2))ex(64+16x4+x8)+ex(64+8x4)log(x2)+16exlog2(x2)dx
  3.42.18 94x+4x3+28xlog(x)+2xlog2(x)+(126x4x3+32xlog(x)+2xlog2(x))log(632x2+16log(x)+log2(x)x)(632x2+16log(x)+log2(x))log3(632x2+16log(x)+log2(x)x)dx
  3.42.19 11+e4+xdx
  3.42.20 ex(33x+x2)3624x+4x2+ex(3x+x2)dx
  3.42.21 2xlog(x)+2log(x)log2(x2)+((xxlog(x))log(x2)+(2+2log(x))log2(x2))log(x+2log(x2)5xlog(x2))+(5xlog(x2)+10log2(x2))log2(x+2log(x2)5xlog(x2))(5xlog(x2)+10log2(x2))log2(x+2log(x2)5xlog(x2))dx
  3.42.22 42x4+(2+5x4)log(x2)+25log2(x2)25log2(x2)dx
  3.42.23 82x+24x2+2x3+ex(4+3x+x2)128+96x+24x2+2x3dx
  3.42.24 225016x48ex4+e2x4dx
  3.42.25 ex4+log2(x)x3(4+4x4+2log(x))dx
  3.42.26 e13+log2(3+log(x))log(3+log(x))54x+18xlog(x)+(36x+12xlog(x))log2(3+log(x))+(6x+2xlog(x))log4(3+log(x))dx
  3.42.27 2x2log2(x)+((96+2x2)log(x)+(962x2)log2(x))log(116e4(48+x2))48x3+x5dx
  3.42.28 5+ex(3+x)+2x6+e2(3x)+ex(3+x)4x+2x2+(3+x)log(3x)dx
  3.42.29 (5+ex(1+x)+(5+ex(1+3x+x2))log(x))dx
  3.42.30 2532x625x2+(253+4x+1875x2)log(x)log2(x)dx
  3.42.31 39x6x2+12x3+(13x2x2+4x3)log(4)+(6x+12x2+(2x+4x2)log(4))log(x)+(6x+6x2+(2x+2x2)log(4)+(6x+2xlog(4))log(x))log(1+x+log(x))2x+2x3+(2x+2x2)log(x)+(x+x2+xlog(x))log(1+x+log(x))dx
  3.42.32 e100+80x260x34x4+e2xx424x5+x6+6x7+x8+ex(20x2+8x46x52x6)x4(400160x2+60x3+x424x5+2e2xx5+2x6+18x7+4x8+ex(40x2+20x3+2x510x62x7))x4dx
  3.42.33 11x+ee4(11x+12x2)+(2x+ee4(2x2x2))log(x+ee4(xx2))255x2+ee4(25+25x+5x2+5x3)+(10+x2+ee4(1010xx2x3))log(x+ee4(xx2))+(1+ee4(1+x))log2(x+ee4(xx2))dx
  3.42.34 e15+3xx+log(x)(15x3+12x4+3x5+ex(1512xx3)+(15x212x32x4)log(15)+(9x4+ex(3x2x2)7x3log(15))log(x)+(exx+3x32x2log(15))log2(x))2x3+4x2log(x)+2xlog2(x)dx
  3.42.35 8+xx310e10x12xlog(x)x3dx
  3.42.36 (30xlog(2)+16xlog(2)log(4)+2xlog(2)log2(4))dx
  3.42.37 (810+385x10x2)log(5)+(810395x+5x2)log(5)log(181(81xx2))+(81x)log(5)log2(181(81xx2))4050x21975x3+25x4+(1620x+790x210x3)log(2+x)log(181(81xx2))+(16279x+x2)log2(2+x)log2(181(81xx2))dx
  3.42.38 e5e1+x14x5x2+ex(e1+x+3x+x2)+(5ex)log(x2)x(10+e1+x(55x)5x2+ex(2+4x2+x3+e1+x(1+2x))+(5+ex(1x))log(x2))x2dx
  3.42.39 15+10exx23x3x2+2exx2dx
  3.42.40 ((42e2)log(x)+(8e2)log2(x)+(6log(x)+3log2(x))log(9x2))dx
  3.42.41 2x+e3x+6x2+3x3(1+3x+12x2+9x3)e6x+12x2+6x3x22e3x+6x2+3x3x3+x4dx
  3.42.42 (8+5log(4x))dx
  3.42.43 log(3)x2dx
  3.42.44 25260x+130x215x3+e4(5+40x10x2)+ex(5+15x30x2+5x3)+(5x5exx)log(4x)xdx
  3.42.45 e110(x+10x2)(e2x+110(x10x2)(10+10x+20x3+10x4+10x5)+e2e110(x+10x2)x(10x3x4+20x5)+ex+e110(x+10x2)x(10x2+x330x4+x520x6+e110(x10x2)(10x10x210x310x4)))5x3dx
  3.42.46 80x2+80x323x4+2x5+(5020x+2x2)log(x)+(25+10xx2)log2(x)80x3+56x413x5+x6+(25x10x2+x3)log2(x)dx
  3.42.47 e150x45x2(3002x4)5x3dx
  3.42.48 5log(5)+(5+x)log2(x)xlog2(x)dx
  3.42.49 (e3+e5+x+x3)dx
  3.42.50 30x330x4+eex(95x2+ex(9x9x2+5x35x4))+(27x215x4)log(19(45+25x2))9x2+5x4dx
  3.42.51 2e1+e1+2x+2xdx
  3.42.52 4x2+e625x6(27500x6)3e1250x6+12x4+12x3log(4)+3x2log2(4)+e625x6(12x26xlog(4))dx
  3.42.53 8+14x2+2e2xx212x3+2x4+ex(8+16x24x3)+(18+12x+7x26x3+x4+e2x(2+x2)+ex(12+4x+6x22x3))log(2+x2)18+12x+7x26x3+x4+e2x(2+x2)+ex(12+4x+6x22x3)dx
  3.42.54 (200x80x2+8x3)log(25x2)+(400x160x2+16x3+(200x120x2+16x3)log(25x2))log(12x)log3(25x2)log3(12x)dx
  3.42.55 10x2+10x2log(x)+(810x)log2(x)+8log(x)log(e.25/xx2)+10xlog2(e.25/xx2)125x2dx
  3.42.56 2610x+13x2+5x3+e4(13x+10x2)e4(13x2+5x3)dx
  3.42.57 e102x+(3xx2)log(5)(5+x)log(5)(15+10x+x2)25+10x+x2dx
  3.42.58 512e3+512ee3+x+e3+x+xdx
  3.42.59 e3ex+e3e3xe3xx(3e3e3xe3xe3x2e3+xx2)x2dx
  3.42.60 12(ex(16+e4(6+x4))+e4+x(6+6x+5x4+x5)log(x))dx
  3.42.61 e5x25e2x6exx(100e3x240e2xx+120x3120x4+ex(56x2+200x3))25e3x60e2xx+36exx2dx
  3.42.62 e3x+9e4+xx(2+6x+3x2+e4+x(18x+27x2+9x3))4+4x+x2dx
  3.42.63 4e10x80e8xx640e6xx22560e4xx35120e2xx44096x5+e65536x2+25e8xx2+400e6xx340960x4+6400x6+e4x(2560x2+2400x4)+e2x(20480x3+6400x5)e8x+16e6xx+96e4xx2+256e2xx3+256x4(1572864x4+6144x6+153600x8+e10x(6x+150x3)+e8x(120x2+3000x4)+e6x(14400x3+30720x4+24000x5)+e4x(119040x4+245760x5+96000x6)+e2x(393216x31572864x4238080x5+491520x6+192000x7))3e10x+60e8xx+480e6xx2+1920e4xx3+3840e2xx4+3072x5dx
  3.42.64 x2+e23x+5x2+x3x2(43xx2x3)x2dx
  3.42.65 10x25x4+(40x40x3)log(4+4log(5)+log2(5))+(8080x2)log2(4+4log(5)+log2(5))x4+8x3log(4+4log(5)+log2(5))+16x2log2(4+4log(5)+log2(5))dx
  3.42.66 36+ex+x2log(3x)(16+16x+16x2+32x2log(3x))81+16e2x+2x2log(3x)+ex+x2log(3x)(7232x)72x+16x2dx
  3.42.67 x310x415x5+ee2x4(20e2+10x4)x3dx
  3.42.68 iπe2log(3)log(4e24log(4))x2dx
  3.42.69 1+e12501000x+300x240x3+2x4(20002200x+840x2136x3+8x4)36+e12501000x+300x240x3+2x4(2412x)+18x+e25002000x+600x280x3+4x4(4+2x)+(24+e12501000x+300x240x3+2x4(84x)+12x)log(2+x)+(4+2x)log2(2+x)dx
  3.42.70 eee12(3x+2log(x+log(3)))+e12(3x+2log(x+log(3)))+12(3x+2log(x+log(3)))(2+3x3log(3))2x+2log(3)dx
  3.42.71 e4xlog(5)log(e3xx)(100xlog(5)+300e3xxlog(5)+(100e3xlog(5)100xlog(5))log(e3xx))e3xxdx
  3.42.72 (20+180x)log(x)+(1090x)log2(x)1+27x+243x2+729x3dx
  3.42.73 5+96xlog3(16ex3)x2dx
  3.42.74 45+x2+2x3+4e10+2x2x3x2dx
  3.42.75 e50x2x24353x2x2+ex(50x+2x2)(2150+172x+6x2+ex(2500x2+200x3+4x4))1849+4558x+2981x2+212x3+4x4+ex(4300x5472x2412x38x4)+e2x(2500x2+200x3+4x4)dx
  3.42.76 2023x2+2x4+e12(8x+2x3)4x+x3dx
  3.42.77 e180x3(1+x)log(x)(180x2+180x3+(540x2360x3)log(x))(12x+x2)log2(x)dx
  3.42.78 (3+2e3+2ee3+x+e3+x+x+2x+eee3+x(2+e3+e3+x+x(4+2x)))dx
  3.42.79 11xdx
  3.42.80 x2+ex(12+12x)2log(4)3x2dx
  3.42.81 e2e5+10x2x(2x5e5+10x2xlog(4)+5e5+10x2xlog(x5))+ee5+10x2x(30xlog(4)75e5+10x2xlog2(4)+(30x+150e5+10x2xlog(4))log(x5)75e5+10x2xlog2(x5))x2log3(4)+3x2log2(4)log(x5)3x2log(4)log2(x5)+x2log3(x5)dx
  3.42.82 e256+x(342x+171x281x4+81x5)361+342x3+81x6dx
  3.42.83 20x+2x2+(10x+x2)log(2)+(81+18x)log(3)x4dx
  3.42.84 3+2x28x3+(3+2x2)log(x)+x2log2(x)x2dx
  3.42.85 16e2e280x4+40e5x45e10x4+5x55x5dx
  3.42.86 2540x+160x280x3+32x4+4x2log(5)25320x2+80x3+1024x4512x5+64x6+(10x+64x316x4)log(5)+x2log2(5)dx
  3.42.87 3612x+x2+(36+x2)log(x)x2dx
  3.42.88 1200x+240exx+12e2xx+e18x(e2x(4+18x)+ex(40+190x))100x5+20exx5+e2xx5dx
  3.42.89 9486x6237x2+(6324x)log(2)9+462x+5929x2+(12+308x)log(2)+4log2(2)dx
  3.42.90 e15(4+5x3+40x4+120x5+160x6+80x75xlog(3))(12x2+128x3+480x4+768x5+448x64log(3))dx
  3.42.91 200x+300x2+80x3+120x4+8x5+12x6+e105+x2(50x20x32x5)+e55+x2(150x75x2+10x340x4+6x53x6)+ex(200x100x280x340x48x54x6+e55+x2(50x+25x2+30x3+10x4+2x5+x6))800+420x2+100x3+72x4+40x5+4x6+4x7+e105+x2(505x28x4x6)+e55+x2(40085x225x3+14x410x5+3x6x7)+ex(100x240x44x6+e55+x2(25x2+10x4+x6))dx
  3.42.92 60x320x4+144x548x6+4x7+(120x240x3+216x472x5+6x6)log2(4)+(60x20x2+72x324x4+2x5)log4(4)+e2x(72x3+48x422x5+2x6+(72x2+120x346x4+4x5)log2(4)+(72x224x3+2x4)log4(4))+ex(60x220x3+216x418x6+2x7+(120x40x2+288x3+48x440x5+4x6)log2(4)+(6020x+72x2+48x322x4+2x5)log4(4))+(60x2+20x3216x4+72x56x6+(120x+40x2288x3+96x48x5)log2(4)+(60+20x72x2+24x32x4)log4(4)+ex(144x324x4+20x52x6+(144x296x3+44x44x5)log2(4)+(72x2+24x32x4)log4(4)))log(2e56x+x2)+(72x324x4+2x5+(72x224x3+2x4)log2(4))log2(2e56x+x2)36x212x3+x4dx
  3.42.93 13x3xdx
  3.42.94 ex2(e8(2x4+2x6)+(e12(4x3+8x5)+e8(8x4+8x6))log(4)+(12e16x4+e12(12x3+24x5)+e8(12x4+12x6))log2(4)+(24e16x4+e20(4x+8x3)+e12(12x3+24x5)+e8(8x4+8x6))log3(4)+(12e16x4+e24(2+2x2)+e20(4x+8x3)+e12(4x3+8x5)+e8(2x4+2x6))log4(4))x3log4(4)dx
  3.42.95 (ex(2x)+2ex2x+10e3+5x2x)dx
  3.42.96 e75x2+x5xlog(2)(150x+375x475log(2))x4+x102x3log(2)+x2log2(2)+x4(2x32x2log(2))dx
  3.42.97 e2x(14x+11x22x3)dx
  3.42.98 ee3x(5+xexxlog(2))(10+21x+8x2+x3+e(x3x2x3)+(x3x2x3)log(2))(x2+x3)(5x6x2x3+e(x2+x3)+(x2+x3)log(2))dx
  3.42.99 4x+ex+2(10+2x2)xx2+ex(44x2+x4)+e10+2x2x(10xx2+2x3+ex(4x+2x3))44x2+e2(10+2x2)xx2+x4+e10+2x2x(4x+2x3)dx
  3.42.100 212x2x2+e2xx2exx2log(2)16log(x3)+2log2(x3)2x2dx