3.17 Integrals 1601 to 1700

  3.17.1 e5+e11xx2+10x312x4+7x5x65+x+11xx2+10x312x4+7x5x65+x(55+10x151x2+260x3211x4+58x55x6)2510x+x2dx
  3.17.2 200+200log(x)+x2log2(x)x2log2(x)dx
  3.17.3 4x+(3+x)log(3+x)log(log4(3+x))(9+3x)log(3+x)log2(log4(3+x))dx
  3.17.4 1024448x+8x2208x3+9x41024x192x2+8x316x4+x5dx
  3.17.5 10xx5+(15x+2x4)log(x2)+(10x3)log2(x2)2x54x4log(x2)+2x3log2(x2)dx
  3.17.6 50log(6)log(2x)xdx
  3.17.7 (36x+9x2)dx
  3.17.8 e8x(48x3+96x4)log(1624e4+9e8+e16xx8+e8x(8x46e4x4))43e4+e8xx4dx
  3.17.9 e(32x+8x250x5)768+768x+960x2+384x3+2592x4+1200x5+1200x6+1875x8dx
  3.17.10 ee2+ee210x2240x3+160x4+e3x(80x3+220x4120x5)+e6x(20x350x4+30x5)+eee220x2(ee2(6+e3x(1+x)4x)+40x3+e3x(20x330x4))5x3dx
  3.17.11 2x2log(x)log(5exlog(x)x)+e10log2(5exlog(x)x)(3216x2x2+(3216x14x22x3)log(x)+(8x2x2)log(x)log(5exlog(x)x))+e5log(5exlog(x)x)(8x+2x2+(8x+6x2+2x3)log(x)+(8x+4x2)log(x)log(5exlog(x)x))xlog(x)log(5exlog(x)x)dx
  3.17.12 elog2(2)16xelog2(2)x8x2dx
  3.17.13 14eex28(eex28(128x)8x+ex28x3)dx
  3.17.14 3e3/x+e16+ex3x2x4x5(exx26x34x55x6)x2dx
  3.17.15 5+10x+2x2375x375x4+250x5+50x635x77x85x+x2dx
  3.17.16 27000x+5400x2+(21600054000x27000x2)log(4+x)+(9000x1800x2+(72000+39600x+14400x2)log(4+x))log(x2log(4+x))+(7200x1800x2)log(4+x)log2(x2log(4+x))(500x+175x2+15x311x4+x5)log(4+x)dx
  3.17.17 12(20+e12(x+2e2x4x2)(12e2+8x))dx
  3.17.18 13(154log(176))dx
  3.17.19 5+x2ex22x3+2log(x)log2(x)x2dx
  3.17.20 ee4x16e3xlog(2x)+e2x(962x)log2(2x)+ex(256+16x)log3(2x)+(25632x+x2)log4(2x)log4(2x)(e4x(20x4x2)+(e3x(240x+48x2)+e4x(20x2+4x3))log(2x)+(e3x(240x248x3)+e2x(960x212x2+4x3))log2(2x)+(ex(1280x+336x216x3)+e2x(950x2+210x34x4))log3(2x)+ex(1200x2320x3+16x4)log4(2x)+(10x+157x242x3+2x4)log5(2x))log5(2x)dx
  3.17.21 e256x+512x2+128x3646x411x5+320x6+32x764x816x95121024x256x2+1280x3+22x4640x564x6+128x7+32x8(65536+262144x196608x2464896x3+642560x4+340480x5721920x6161536x7+456711x8+80384x9178368x1041984x11+39584x12+14336x133072x142048x15256x16)131072524288x+393216x2+917504x31266688x4677888x5+1436160x6+323072x7917262x8161536x9+359040x10+84736x1179168x1228672x13+6144x14+4096x15+512x16dx
  3.17.22 12x21203x4+e5(126x3609x2)e10+2e5x2+x4dx
  3.17.23 102ex+(5+ex(1+x))log(4x2)log2(4x2)dx
  3.17.24 3e6exx+20x90e5exxx2+3x3+2000x4+225x6+5625x9+46875x12+e4exx(9x+1125x4)+e3exx(180x37500x6)+e2exx(9x2+1350x5+28125x8+ex(40x+40x2))+eexx(400x290x44500x756250x10+ex(200x3200x4))3e6exxx90e5exxx3+3x4+225x7+5625x10+46875x13+e4exx(9x2+1125x5)+e3exx(180x47500x7)+e2exx(9x3+1350x6+28125x9)+eexx(90x54500x856250x11)dx
  3.17.25 12+x2+x2log(3)4x2dx
  3.17.26 145(1020+90e5+46e25(5+23x)+90x+e15(5+23x)(1594+138e5+138x))dx
  3.17.27 e9xdx
  3.17.28 54x6e6x+162x2108x3+e3(36x+54x2)+260/xx60/x(2x6x2+4x3)+220/xx20/x(54x162x2+108x3+e6(40+2x)+e3(120+144x36x2)+(40e6+e3(120120x))log(2x))+240/xx40/x(18x+54x236x3+e3(4044x+6x2)+e3(40+40x)log(2x))27+27220/xx20/x9240/xx40/x+260/xx60/xdx
  3.17.29 ex(1x)e2x+2exx+x2dx
  3.17.30 1+eee4x(20x+4exx+ee4x+4x(16x4exx))+5xlog(x)eee4x(20x+5exx)+5xlog(x)dx
  3.17.31 512x5+768x6+256x7+ex(512x3+512x4+1152x5+384x6)+(1024x41280x5384x6+ex(1024x31280x4384x5))log(ex+xx)exx3x4+(3exx2+3x3)log(ex+xx)+(3exx3x2)log2(ex+xx)+(ex+x)log3(ex+xx)dx
  3.17.32 34402592x872x2+1288x3256x4128x5+73x614x7+x8+(80+96x84x2+16x3)log(5)36002400x1040x2+1320x3256x4128x5+73x614x7+x8dx
  3.17.33 e12+4x(5+10x)+e6+2x(10x+10x2)x4+e6+2x(18x22x32x4)+e12+4x(8118x17x2+2x3+x4)dx
  3.17.34 160e1+5e4xlog(3)125x2log(3)+75e5e4xlog(3)x2log(3)15e5e2xlog(3)x2log(3)+e15e4xlog(3)x2log(3)dx
  3.17.35 eex(56x+x2)log(16)+(5+6xx2)log(2510x+x2)+(2x+eex+x(5xx2)log(16))log(exx)log(log(exx))(5x+x2)log(exx)dx
  3.17.36 e2(818x10x2x3)+e2(8+4x)log(4+2xx)32+32x+10x2+x3dx
  3.17.37 64x16x28x3+eex+x(8x24x3)+(128+64x)log(2+x)32x2+48x3+24x4+4x5+e2ex(2x2+x3)+(256x+256x2+64x3)log(2+x)+(512+256x)log2(2+x)+eex(16x2+16x3+4x4+(64x+32x2)log(2+x))dx
  3.17.38 12x22e2x2(x+2x3+2e2x3)log(1+2x2+2e2x22x+2e2x)dx
  3.17.39 e3ex1+xx(1+x+3ex1+xxx2x3)1+2x+x2dx
  3.17.40 875350x+100x2+68x3+13x4+(2510x+5x2+2x3)log(5x2)e3(61252800x+1255x2+640x311x416x5+x6)+e3(35080x+80x2+16x32x4)log(5x2)+e3(5+x2)log2(5x2)dx
  3.17.41 x2+eeee155x+25x2+x2x+ee155x+25x2+x2x+e155x+25x2+x2x(x2+e155x+25x2(15x+50x2))x2dx
  3.17.42 124e1x2+x32e(12e+48e1+x2+x32e12x218x3+(2x+3x2)log(3))dx
  3.17.43 14(4+e14(ex+4x)(4+ex)4log(x))dx
  3.17.44 e3+xlog(e+40x+40log(2)+(5x+5log(2))log(x)8+log(x))(e+320x+80xlog(x)+5xlog2(x)+(8e+320x+320log(2)+(e+80x+80log(2))log(x)+(5x+5log(2))log2(x))log(e+40x+40log(2)+(5x+5log(2))log(x)8+log(x)))8e+320x+320log(2)+(e+80x+80log(2))log(x)+(5x+5log(2))log2(x)dx
  3.17.45 4x3+x2(3+3x2)x(6x+6x2+(6+6x2)log(x))4x4+x2+2(3+3x2)xdx
  3.17.46 4log(x)+(2x+6x3+2xlog(x))log(x2)+(24log(x))log(x2)log(log(x2))(3x4x2log(x))log(x2)+xlog(x)log(x2)log(log(x2))dx
  3.17.47 4x2log2(10)+4x2log(10)log2(3x)log(5e3+x2e3)+(20e34x2)log(10)log(3x)log2(5e3+x2e3)+(5e3+x2)log3(5e3+x2e3)+(20e3+4x2)log3(3x)log3(5e3+x2e3)(5e3x+x3)log3(5e3+x2e3)dx
  3.17.48 (4+2x+log(49e2e3x))dx
  3.17.49 ee5+2xx(e5(3x)9x2x2)x5dx
  3.17.50 2log(x)log(5x4)+(x+xlog(x))log3(5x4)xlog2(x)log3(5x4)dx
  3.17.51 2+2x+ex(x3x2)+(1+exx2)log(x)9x2log(2)6x2log(2)log(x)+x2log(2)log2(x)dx
  3.17.52 59+e3dx
  3.17.53 e256exxlog4(2)(ex(256x4096x24352x3)+(134x)log4(2))5log4(2)dx
  3.17.54 4x+12x2+(4x+8x2)log(x)+3xlog2(x)+(1+x)log3(x)+(8x+4xlog(x)+3log2(x))log(3x)4xdx
  3.17.55 1253000x+1275x2600x3+500x4+125x5+50x6+25x7+(125x50x275x3)log(x)1250x+1000x3+300x5+40x7+2x9+(100x+40x3+4x5)log(x)+2xlog2(x)dx
  3.17.56 44e3+2x2+ex4(2+8x4)x2+2e5x2dx
  3.17.57 (5x+4e3x)log(x)+(19+e3(84x)5x)log(15(38+10x+e3(16+8x)))(19x+5x2+e3(8x+4x2))log2(x)dx
  3.17.58 12+eex(220e2x+ex(202x))+ex(80+40x)36+e2ex+24x+4x2+eex(12+4x)dx
  3.17.59 e1x4log(3)+log(x+exlog(x2))(ex(164x)8x+6x2+2x3+2x4+16x3log(3)+32x2log2(3)+ex(2x3+16x2log(3)+32xlog2(3))log(x2)+(4x316x2log(3)+ex(4x216xlog(3))log(x2))log(x+exlog(x2))+(2x2+2exxlog(x2))log2(x+exlog(x2)))x4+8x3log(3)+16x2log2(3)+ex(x3+8x2log(3)+16xlog2(3))log(x2)+(2x38x2log(3)+ex(2x28xlog(3))log(x2))log(x+exlog(x2))+(x2+exxlog(x2))log2(x+exlog(x2))dx
  3.17.60 4x+x2+e(1+2x)+(4x+x2)log(x)e(4x+x2)dx
  3.17.61 (8x+4x2)log(2+x)log(12(1+2x))+(2x4x2+(2+3x2x2)log(2+x))log2(12(1+2x))(2x23x3+2x4)log3(2+x)dx
  3.17.62 260+2376(209x)22+117x20+9xdx
  3.17.63 1xdx
  3.17.64 6+16x12x221+3x4x2+2x3dx
  3.17.65 24x318e2xx38x5+ex(27x29x3+24x4)912x2+9e2xx2+4x4+ex(18x12x3)dx
  3.17.66 135x+40x6+15x7+e4(40x4+15x5)+e2(90+80x5+30x6)e4x3+2e2x4+x5dx
  3.17.67 6448x16x232xlog(x)64x+48x212x3+x4dx
  3.17.68 4e8elog(1x)144x224xlog(5)+log2(5)+(192x216xlog(5))log(1x)+64x2log2(1x)dx
  3.17.69 14(16+e14(100x4x2+xlog(4))(4100x8x2+xlog(4)))dx
  3.17.70 125(402x10log(2))dx
  3.17.71 e6+2x(8x72x8)dx
  3.17.72 46+56x+12x26x32x4+e3(1624x12x22x3)8+12x+6x2+x3dx
  3.17.73 9+5log(14(6+e4log(2)))log(14(6+e4log(2)))dx
  3.17.74 300x3+300x4+(3600x24500x3900x4)log(1+x3)+(14400x+21600x2+8100x3+900x4)log2(1+x3)+(1920033600x18000x23900x3300x4)log3(1+x3)+log2(x2)(30x4+(120x3+30x4)log(1+x3)+(120x2+120x3)log2(1+x3)+(480x600x2120x3)log3(1+x3))+log3(x2)(6x4log(1+x3)+(24x2+24x3)log3(1+x3))+log(x2)((60x3+60x4)log(1+x3)+(480x2600x3120x4)log2(1+x3)+(960x+1440x2+540x3+60x4)log3(1+x3))log3(x2)(5x45x5+(60x3+75x4+15x5)log(1+x3)+(240x2360x3135x415x5)log2(1+x3)+(320x+560x2+300x3+65x4+5x5)log3(1+x3))dx
  3.17.75 13xdx
  3.17.76 e8x+(x2)25e810x2e8(50e820x220x2log(x2))e8xdx
  3.17.77 e1+2x+x24x2(1x4x2)+4x2log(2)+(2e1+2x+x24x2x2+2x2log(2))log(ee2e1+2x+x24x2log(2))2e1+2x+x24x2x22x2log(2)dx
  3.17.78 (4ex+2e2x+log(5x2))dx
  3.17.79 1+e2x+2(1+e2x)2e41+e2xdx
  3.17.80 432288x81x3+3e12x381x427x53x6+e8(27x39x4)+e4(144+81x3+54x4+9x5)27x3+e12x327x49x5x6+e8(9x33x4)+e4(27x3+18x4+3x5)dx
  3.17.81 10546875ex/63125000x3+1875000x4405000x5+37800x61296x7+ex/8(84375000+9703125x+1265625x2)+ex/12(84375000x+26859375x21586250x350625x4)+ex/24(28125000x2+13109375x31884375x4+80325x5+675x6)781250dx
  3.17.82 48x+48x2+(24x224xlog(x))log(x+log(x))log(16log2(x+log(x)))+(x+log(x))log(x+log(x))log3(16log2(x+log(x)))(x+log(x))log(x+log(x))log3(16log2(x+log(x)))dx
  3.17.83 15(10+e5e10xx2(24x))dx
  3.17.84 15(8160ex+40e2x+20x+30x2)dx
  3.17.85 38x+x22x33+x2dx
  3.17.86 12+84x40x2+5x3+(160x+80x210x3)log(x)+(4x+(80x40x2+5x3)log(x))log(1+(20x+5x2)log(x)12x2+3x3)4x+(80x40x2+5x3)log(x)dx
  3.17.87 ee2(5x)log(x)+2log(x)log(3exlog2(x))x2+2(5x)log(x)+2log(x)log(3exlog2(x))(4x2x2+2xlog(3exlog2(x)))dx
  3.17.88 x6(e4x(8x+4x2)+16e6+3x(24x+40x2+12x3)x2+256e12+2x(24x+72x2+60x3+12x4)x4+65536e24(1+4x2+12x3+12x4+4x5)x8+4096e18+x(8x+40x2+60x3+32x4+4x5)x6)65536e24dx
  3.17.89 17+60x+(4+12x)log(4)20e4x+4e4xlog(4)dx
  3.17.90 e12log(5x)+2xlog2(5x)2xlog2(5x)dx
  3.17.91 (16+16x+96x2112x380x4+96x5+e32(2x6x2+4x3)+e16(424x+12x2+48x340x4))dx
  3.17.92 4e3+3x+25x2(3+50x)dx
  3.17.93 ee2+x+2x2log(4)xx2+x+2x2log(4)x(2+3xx22x3+e2+x+2x2log(4)x(1+2x)+ee4(2+e2+x+2x2log(4)x+x2x2log(4))+(1x)log(4))dx
  3.17.94 e729e2xx4+2x(42x)x5dx
  3.17.95 e42ee9x22xlog(1x)log2(1x)+2x(3x2+x3+2x4+ee9x22xlog(1x)log2(1x)(4x5+4x4log(1x)))1+xdx
  3.17.96 4x2+2x4+(24x+5x212x34x4)log(4)+(3624x+14x2+12x3+2x4)log2(4)x4+(6x32x4)log(4)+(9x2+6x3+x4)log2(4)dx
  3.17.97 2520x+5ex+4x2+e8x4+e4(10x24x3ex3)e9x5+e(25x20x2+4x3)+e5(10x34x4)dx
  3.17.98 1010x5x2+ex(5+5x)+ex(5+5x+5x2)log(x)4x24x3+x4+ex(4x22x3)log(x)+e2xx2log2(x)dx
  3.17.99 1xlog(15x)dx
  3.17.100 5x2+30log(2)x2log(2)dx