3.16 Integrals 1501 to 1600

  3.16.1 4+ex(631x50log(4)+log2(4))2520+4x+200log(4)4log2(4)+ex(630x50log(4)+log2(4))dx
  3.16.2 2x+x25log(3)+ex(x2xlog(3))+log(3)log(eexx)x2dx
  3.16.3 30e2/5+3x+12x3+3exx3x3dx
  3.16.4 1664x8x2+32x3+x44x5+e32+x+8x2+x34+x2(164x8x213x3+x4+x5)3216x2+2x4dx
  3.16.5 e2100x+10e1+eexx(101500x15e2+2eexx+e1+eex(1300xeex+xx))500x5+100e1+eexx5+5e2+2eexx5dx
  3.16.6 45+39x56x2+40x311x4+x5+(45+30x170x2+119x358x4+13x5x6)log(x)+(9x26x3+13x411x5x64x75x8+x9)log2(x)(45x39x2+56x340x4+11x5x6)log(x)+(9x36x4+19x512x6+11x76x8+x9)log2(x)dx
  3.16.7 60+49x4x23x3+(6017x+4x2+x3+ex(45x9x2+5x3+x4))log(15x+8x2+x3)log(log(15x+8x2+x3))+(15x8x2x3)log(15x+8x2+x3)log(log(15x+8x2+x3))log(log(log(15x+8x2+x3))x)(15x+8x2+x3)log(15x+8x2+x3)log(log(15x+8x2+x3))dx
  3.16.8 25x+e15(265x2+5log(x2))(250+250x2)25e25(265x2+5log(x2))x+10e15(265x2+5log(x2))x2+x3dx
  3.16.9 1+e5(216x)6x16x232xlog(1+2e5+2x)+(816e516x)log2(1+2e5+2x)32log3(1+2e5+2x)1+2e5+2xdx
  3.16.10 e84x(6432x4x2+(224x120x216x3)log(x)+(9648x6x2+(224x120x216x3)log(x))log(log(x))+(3216x2x2+(56x30x24x3)log(x))log2(log(x)))xlog3(x)dx
  3.16.11 (ex2(2+4x)+(2+4x)log(4))log(xx2)+(ex2(1+x2x2+2x3)+(1+x)log(4))log2(xx2)10+10x+(1+x)log(3)dx
  3.16.12 x42x3log(2)+x2log2(2)+e10x2+xlog(2)(20x+10log(2))x42x3log(2)+x2log2(2)dx
  3.16.13 e5x(1487616014876160x5963520x2838656x375776x43584x5+256x6)3376772100+2382858660x+744859249x2+142613992x3+19810676x4+1973216x5+118070x6+3128x7160x836x9+x10dx
  3.16.14 log(x)+e10+2xx2log(log2(x))(2x+2log(x)2xlog(x)log(log2(x)))log(x)dx
  3.16.15 (8+(2712x+15x2+4x3)log(log(3)))dx
  3.16.16 56+32x2x2+(20+12x)log(2x+x2)+(2+x)log2(2x+x2)10+45x+18x2x3+(16x+8x2)log(2x+x2)+(2x+x2)log2(2x+x2)dx
  3.16.17 e4(e32x2)+e60x2(3x+120e3x120x3)+(e4x2+e60x2(2x120x3))log(x)e120x22e4+60x2x+e8x2dx
  3.16.18 (6x6x2)log(1x)+(99x)log(2)log2(1x)+(3x2+(3x3x2)log(1x)+e5(6+6x)log(2)log2(1x))log(x2)+(e5x2+e5(x+x2)log(1x)+e10(1x)log(2)log2(1x))log2(x2)(9x+9x2)log(2)log2(1x)+e5(6x6x2)log(2)log2(1x)log(x2)+e10(x+x2)log(2)log2(1x)log2(x2)dx
  3.16.19 7x+ex(x+x2)2log(x)+2log2(x)7x2exx2+xlog2(x)dx
  3.16.20 ex2+8log(4)x(5x2log(2)+40log(2)log(4))x2+2ex2+8log(4)xx2+e2(x2+8log(4))xx2dx
  3.16.21 84x+ex/21(42+2x)+ex(7e2x/21x2+14ex/21x3+7x4)7e2x/21x2+14ex/21x3+7x4dx
  3.16.22 e2x(120480x+400x240x4+e2/3(8+24x24x2+8x3))6400072000x+3000x2+14625x3375x41125x5125x6+e2(1+3x3x2+x3)+e4/3(120285x+195x215x315x4)+e2/3(4800+8400x3075x2975x3+375x4+75x5)dx
  3.16.23 16x3+54x466x5+26x6+2x764+336x540x2+175x3+135x4+21x5+x6dx
  3.16.24 16x8x2+(16x8x2+4x33x4)log(7)(48x+4x2)log(7)dx
  3.16.25 2x6x2+40x3108x4+288x5648x6+864x71296x8+864x9+e2x(72864x+432x2)+ex(12+12x+12x2+576x4432x5+432x6)1+18x2+108x4+216x6dx
  3.16.26 45e6+2xx+e6+2x(90x90x2)log(x)log(log(x))+((15x+9x2)log(x)+30xlog2(x))log2(log(x))225e12+4xlog(x)+(90e6+2xxlog(x)+150e6+2xlog2(x))log(log(x))+(9x2log(x)+30xlog2(x)+25log3(x))log2(log(x))dx
  3.16.27 125(180+81x+162xlog(x))dx
  3.16.28 65536x2163840x3204800x4163840x592160x637888x711520x82560x9400x1040x112x12+(32768+146440x+265716x2+287097x3+210432x4+111344x5+43704x6+12806x7+2760x8+420x9+41x10+2x11)log(5)(32768x+81920x2+102400x3+81920x4+46080x5+18944x6+5760x7+1280x8+200x9+20x10+x11)log(5)dx
  3.16.29 e3+3125+xex2x(1250100x2x2+ex(62550xx2)3125+xlog(3))625+50x+x2dx
  3.16.30 log(9x2)+loge2x(9x2)(2e2x+e2xlog(9x2)log(log(9x2)))xlog1+e2x(9x2)xlog(9x2)log(x)dx
  3.16.31 ex(1+e5)dx
  3.16.32 1+4e913e9xdx
  3.16.33 10050x+(42x)x2e10+x(40+20x)e5+e15+xe5(2511xe5+x2e10)100x25x2+x2(4xx2)e10+x(40x+10x2)e5+e15+xe5(25x10x2e5+x3e10)dx
  3.16.34 14e4+2x(128+40320e2x)dx
  3.16.35 14(12144e3+4e6+e6+2x(1+2x)+e3+x(22+e3(44x)+22x))dx
  3.16.36 8+e3+x2(436x)+ex(3e3+x2x+6x2)+(872x+6exx)log(4+36x3exxx)872x+6exxdx
  3.16.37 x+eee1x2x(x+ee1x2x+1x2x(1x2))+xlog(2)xdx
  3.16.38 e22e4+18x2x2(2+18x4x2)log2(5)x3dx
  3.16.39 4x2+10x4+2e2x2x4+2x5+x4(8+8e2x22x3)(2+5x2+e2x2x2+x3)2+x2(12x+10x3+e2x2(8x+2x3))2+5x2+e2x2x2+x32x+5x3+e2x2x3+x4dx
  3.16.40 ee6+e3(6+16x4)+16log2(3)64e3x3dx
  3.16.41 2log(625331776e2)x2xlog(x2)+xlog2(x2)dx
  3.16.42 ex(4x28x3+2x4+e2(3+3x+3x4x5))x2dx
  3.16.43 22x+2xlog(3x)+(13x+64x2)log2(3x)xlog2(3x)dx
  3.16.44 3+ex(1x)log(8+4log(4))x2dx
  3.16.45 20000e2exx+1600x2+288x3+(100000x+5500x2)log(3)500000xlog2(3)+eex(20000x+1100x2+ex(10000x22500x3)200000xlog(3))625e2ex+16x2+1000xlog(3)+15625log2(3)+eex(200x+6250log(3))dx
  3.16.46 (ex+log(1+4e166e166)(1+log(4x)))dx
  3.16.47 64x6+480x7+1440x8+2160x9+1620x10+486x11+e16(8+24x)32x5+240x6+720x7+1080x8+810x9+243x10dx
  3.16.48 3+5ex5x+(5+5x)log(xlog(2))35x5exx+5xlog(xlog(2))dx
  3.16.49 (78+3ex3x2108log(3)+54log2(3)12log3(3)+log4(3))dx
  3.16.50 (5+e4+x+4x2+log(e2x216))dx
  3.16.51 (36x3log(x3))dx
  3.16.52 ex(4x+x2+4xlog(3+3xx))(86xx2+x3+(4+8x+4x2)log(3+3xx))4x3x2+x3+(4x+4x2)log(3+3xx)dx
  3.16.53 16+x2+ex(64x+4x3)log(3)16x+x3dx
  3.16.54 1xxlog(2x)(3x+3x2)log(2x)log2(2+2xlog(2x))dx
  3.16.55 24ex/2x12exx+6ex/2xlog(16x2)xdx
  3.16.56 x2log(3)+(2x+2x2)log2(3)+(81x2+(162x324x2)log(3)+(81+324x+324x2)log2(3))log(5)(81x2+(162x324x2)log(3)+(81+324x+324x2)log2(3))log(5)dx
  3.16.57 32e8x3dx
  3.16.58 9x+3x3132x4+15x5+(1+15x4)log(2x)+(108x3+12x4+12x3log(2x))log(9+x+log(2x))9+x+log(2x)dx
  3.16.59 4x3+2e6x3+e625+250x25x210x3+x4x2(10000+12000x+4500x2+580x3+64x4+4x54x6+e12(2500+500x+20x34x4)+e6(10000+7000x+1000x2+80x3+24x48x5))2x4e6x4x5+e625+250x25x210x3+x4x2(4x3+e12x3+4x4+x5+e6(4x3+2x4))dx
  3.16.60 (6x2e6x+(3e6)log(5)+e4+10e4x(2xlog(5)+e4x(40x240xlog(5)))+e2+5e4x(4e3x2e3log(5)+e4x(40e3x240e3xlog(5))))dx
  3.16.61 14(4+ex(3+5x+x2)+e2x(18x+36x2+16x3+2x4))dx
  3.16.62 eex+2eeex(eexx2e5x3)x2+eex(eexx2e5x3)(6e5x4+2e5+xx5+eex(4x+4x3))dx
  3.16.63 90+ex(4020x)x243x2+108exx3+12e2xx4dx
  3.16.64 14e14(16+7xx3+x4)(73x2+4x3)dx
  3.16.65 25+eex+x(4+x)log2(205x)+ex(8+2x)log2(205x)(4+x)log2(205x)dx
  3.16.66 6x2exx+(e(1x)+ex(1x)3x+3x2)log(e+ex3x)(e2x+ex(e3x))log3(e+ex3x)dx
  3.16.67 78024x36x2+(44224x18x2)log(x)+(900+360x+36x2+(120+360x)log(x))log(xlog(x))+(450+18x2)log(x)log2(xlog(x))9x2log(x)dx
  3.16.68 410x4e3x+e2e+2x2(13xe3x)+ee+x2(411x4e3x10x22x3)12x+4e3x+e2e+2x2(3x+e3x)+ee+x2(12x+4e3x)dx
  3.16.69 ee9+2x(10+2x2)+e9+x(100x+20x3)+e9(250x2+50x4)x2(100e9x4+e9+2x(20+20x+4x3)+e9+x(100x+100x2+20x3+20x4))x3dx
  3.16.70 (102eex2)log(5+eex2)+logx2(5+eex2)(12eex2+xx2+(10x2eex2x)log(5+eex2)log(log(5+eex2)))(5+eex2)log(5+eex2)dx
  3.16.71 ex5+ex(2x3+x4)420x45x5+ex(40x2+10x3+5x4)(20x4+20x8+e2x(80x480x5+20x6)+ex(24x28x34x4+80x640x7))16+160x4+40x5+400x8+200x9+25x10+e2x(1600x4800x5300x6+100x7+25x8)+ex(320x280x340x4+1600x6300x850x9)dx
  3.16.72 160832x1602x2+801x3+(32+136x)log(x2)64x3dx
  3.16.73 12e2+6ex(3e2x+3ex2x3)log3(3e2+3exx23x2)dx
  3.16.74 e77e16/x+e2x108x+54x212x3+x4+ex(1912x+2x2)(16e16/x+2x108x2+2e2xx2+108x336x4+4x5+ex(7x28x3+2x4))dx
  3.16.75 (576x71296x15+log(log(3)))dx
  3.16.76 ex+2xx2+x3log(x)x2(20+4x+8x2+8log(x))xdx
  3.16.77 1x(x2+xlog(exx2))log2(2x+2log(exx2))dx
  3.16.78 10000e8+3x+125e8x3+e8+2x(8000x1000x2)+e8+x(1875x2250x3)500e3x+300e2xx+60exx2+4x3dx
  3.16.79 4x2+(2+2x2)log(11+x2)(2+2x2+(1+x2)log(6))log2(11+x2)dx
  3.16.80 e4+3x2x312x2+2e2xx2(486x3+e2x(88x7x3+2x4))72x3+24e2xx3+2e4xx3dx
  3.16.81 8x317x4+65x6+272x7+352x8+256x9+256x10+(2x232x383x432x5128x6256x7256x8)log(x)+(3x2+16x3+32x4)log2(x)log3(x)x22x416x531x6+16x7+96x8+256x9+256x10+(2x22x416x532x6)log(x)+x2log2(x)dx
  3.16.82 x3+2x416x6+36x832x10+10x12+e2x(2+2x2x3)+ex(2x3+8x4+4x58x62x7)x3dx
  3.16.83 11e+log(log(5))dx
  3.16.84 e106e4/x(96e4/x+e4+6e4/x2x+2x2+4xlog(x)+2log2(x)(2x2+4x3+(4x+4x2)log(x))+e2+3e4/xx+x2+2xlog(x)+log2(x)(48e4/x+4x2+8x3+(8x+8x2)log(x)))x2dx
  3.16.85 48+17x2+ex(48+96x+103x2+34x3)48x60x217x3+ex(48x+60x2+17x3)dx
  3.16.86 2xdx
  3.16.87 x21x2+20x3+e5(20x+20x2)+xlog(4x)+(2x+2x2+e5(2+2x)+(e5x)log(4x))log(e5+x)20x340x4+20x5+e5(20x240x3+20x4)+(40x340x4+e5(40x240x3))log(4x)+(20e5x2+20x3)log2(4x)dx
  3.16.88 e12(x+2x2x3ex(12x+x2))(2+5e12(x2x2+x3+ex(12x+x2))x+4x23x3+ex(xx3))x2dx
  3.16.89 e7(88x)+e2e2+x(2e2+4exx)(e2+2e2+xx+e7(4x2x2))log(e4e2+xx2+e5+2e2+x(8x24x3)+e10(16x2+16x3+4x4)e10)dx
  3.16.90 24e15(e322e32log(2)+e32log2(2))64+16e15(e322e32log(2)+e32log2(2))x+e25(e322e32log(2)+e32log2(2))x2dx
  3.16.91 e2x(e2xx+ee2x(x2+e2x(2+4x))(2x32x4+e2x(2x+4x2))2e2xxlog(x))dx
  3.16.92 48x+4x3+4x2log(52)+(48x+4x3+(24+2x2)log(52))log(12+x22e2x+e2log(52))24x+2x3+(12+x2)log(52)dx
  3.16.93 (4xexx+e14+e+x(1+x))dx
  3.16.94 e54x+6x2x3+(5x)log(log(4))(4+12x3x2log(log(4)))dx
  3.16.95 13e45+xdx
  3.16.96 e25(5e2e2+xlog2(2+3xx)x2x)(4x36x4+e2e2+xlog2(2+3xx)x2(e2(80+120x)40xlog(2+3xx)+(20x30x2)log2(2+3xx)))10x3+15x4dx
  3.16.97 1+5x+8x27x314x4+20x54x64x7+2x8+(3x+12x215x38x4+24x516x6+4x7)log(x)5x10x2+16x3+12x433x5+18x6+x74x8+x9+(x+5x2+6x311x48x5+24x616x7+4x8)log(x)dx
  3.16.98 e8(144x296x3+84x427x6)+e12(6496x+192x2152x3+144x454x5+27x6)135x6+e8(720x2+720x31260x4+540x5405x6)+e12(320480x+960x2760x3+720x4270x5+135x6)+e4(540x4270x5+405x6)dx
  3.16.99 143x2+e5x+x2(180x2+72x3)3log(x)x2dx
  3.16.100 (6x5+e2(e2+x3+2x2log(5)+xlog2(5))x(2e2+2x+4x3+4x2log(5))+ee2+x3+2x2log(5)+xlog2(5)x(2e2x2+8x3+4x5+4x4log(5)))dx