3.33 Integrals 3201 to 3300

  3.33.1 164e2+e(168x)16x4x2+e2(10x2+2e2x2+8x3+2x4+e(9x2+4x3))+e2+x2(8x3+2e2x3+8x4+2x5+e(8x3+4x4))e2(4x2+e2x2+4x3+x4+e(4x2+2x3))dx
  3.33.2 16+8x+e5x2(4+4x40x240x3)+(4+4x)log(1+2x+x29x4)e10x2(1+x)+e5x2(2+2x)log(1+2x+x29x4)+(1+x)log2(1+2x+x29x4)dx
  3.33.3 4e118(e3e5)dx
  3.33.4 eex(2x3exx4+e5+ex+x2+xlog2(x)(48x28xlog(x)4xlog2(x)))4x2dx
  3.33.5 e4+ex(1616x)+e4+ex(ex(16x16x2)+4exxlog(x4))log(44x+log(x4))4x4x2+xlog(x4)dx
  3.33.6 3e18+3xdx
  3.33.7 e(3+3x)25e3x2+10e4x2log(8e1xx)+e5x2log2(8e1xx)dx
  3.33.8 4x2+e4e48x+5x24x(12e415x2)12x2dx
  3.33.9 e4x(10x+17x24x3)log2(3)dx
  3.33.10 e327x+e19/5x22+e19/5(27+e19/5)22+e19/5dx
  3.33.11 eexx2(1+exx2(2+x))+4x2log(log(5))4x2log(log(5))dx
  3.33.12 64+ex4256x432xdx
  3.33.13 (12+2ex192x)dx
  3.33.14 5+5e3x+e36e424e2x+4x2(x+x224e2x2+8x3)+5xlog(x)5e3x+e36e424e2x+4x2x2+5xlog(x)dx
  3.33.15 5+5x+5x2+5x3+(10x10x2)log(x)(x+3x2+3x3+x4)log2(x)dx
  3.33.16 e5(4x+2x2)4590x135x2+180x3+180x4dx
  3.33.17 e23x+log(4)e2x(2e4x+27e2x22x3+x2log(4))e4x42e2x5+x6+e2(23x+log(4))e2x(e42e2x+x2)+e23x+log(4)e2x(2e4x2+4e2x32x4)dx
  3.33.18 4log(1x)+4log(1x)log(x)+2log(x)log(e2log(1x))+(log(1x)log(1x)log(x))log2(e2log(1x))+(4log(1x)log(x)+log(1x)log(x)log2(e2log(1x)))log(4xlog(x)xlog(x)log2(e2log(1x)))(4log(1x)log(x)+log(1x)log(x)log2(e2log(1x)))log2(4xlog(x)xlog(x)log2(e2log(1x)))dx
  3.33.19 7e4+e2x(6+12x)+e2+x(12+12x)6e2xx+12e2+xx+e4(22+7x)dx
  3.33.20 5exx2log(5)+(245x2)log(5)+20log(5)log(x)x2+5exx2log(5)+(4x+15x2+5x3)log(5)+20xlog(5)log(x)dx
  3.33.21 42x22exx2+(2+exx+x2)log(8+4exx+4x2x)+(2exxx2+e2+x(2exxx2))log3(8+4exx+4x2x)(2+exx+x2)log3(8+4exx+4x2x)dx
  3.33.22 2510xx2+25x3+10x4+x5+e2(515x2+5x3)+(10+2x10x32x4)log(2+2x3)+(1+x3)log2(2+2x3)2510xx2+25x3+10x4+x5+(10+2x10x32x4)log(2+2x3)+(1+x3)log2(2+2x3)dx
  3.33.23 1+xe10x3+2e10x2log(x)+e10xlog2(x)dx
  3.33.24 e2(121x2+36e4x2+36e8x2+22x3+x4+e2(132x212x3)+e4(132x272e2x2+12x3))48x+4x2+e2(4+8x4x2)+e4(12x+x2)+e8(12x+x2)+e4(48x+4x2+e2(2+4x2x2))(484x144e4x144e8x132x2+36x3+4x4+e2(528x+72x224x3)+e4(528x+288e2x72x2+24x3))4+12x12x2+4x3+e2(412x+12x24x3)+e4(1+3x3x2+x3)+e8(1+3x3x2+x3)+e4(4+12x12x2+4x3+e2(26x+6x22x3))dx
  3.33.25 e22x2(68x2+e6x2(3020x2))x4+25e122x2x4+10e6x2x4dx
  3.33.26 20+22log2(4)+(42log2(4))log(4+log(5))2+log2(4)dx
  3.33.27 327688192x2+1536x3128x4128x5+16x62x7+e25+log2(2)(20481536x+384x264x3)102416384x34096x4+3072x5+768x6192x748x8+4x9+x10+e50+2log2(2)(64x3+48x412x5+x6)1048576+e25+log2(2)(2048x3+512x4+256x564x68x7+2x8)1024dx
  3.33.28 2xe5xx2+ex(6e5x36x4)+e2x(6e5x36x4)+(e5+x+ex(18e5x218x3)+e2x(18e5x218x3))log(e5+x)+(ex(18e5x18x2)+e2x(18e5x18x2))log2(e5+x)+(ex(6e56x)+e2x(6e56x))log3(e5+x)e5x3+x4+(3e5x2+3x3)log(e5+x)+(3e5x+3x2)log2(e5+x)+(e5+x)log3(e5+x)dx
  3.33.29 e4+x+x2+5x5x210x3+(2e4+x+x2+10x5x210x3)log(x)+e4+x+x2log2(x)e4+x+x2+2e4+x+x2log(x)+e4+x+x2log2(x)dx
  3.33.30 35905760x+3264x2768x3+64x4+(3600+3264x21536x3+192x4)log(x)x2dx
  3.33.31 1log(5)dx
  3.33.32 4e4+4e3e3+4x2+4log(4)e2(4+4e3)e32x3+x4+(2x2x2)log(4)+log2(4)+e4+4e3e3(2x2x2+2log(4))dx
  3.33.33 ex(1+(1x)log(5))+ex(1x)log(x)exxlog(5)+x2log2(5)+(exx+2x2log(5))log(x)+x2log2(x)dx
  3.33.34 6+8x+(16x8x2)log(14(3+4x))+(68x)log2(14(3+4x))3x2+4x3+(6x28x3)log2(14(3+4x))+(3x2+4x3)log4(14(3+4x))dx
  3.33.35 10+20x+75x240x3+e2(5+10x+75x220x3)+ex(2+6x+17x23x32x4+e2(1+3x+16x2+x3x4))2+e2dx
  3.33.36 4050+(18090x)log2(2)+(48+88x+60x2+18x3+2x4)log4(2)(8+12x+6x2+x3)log4(2)dx
  3.33.37 7224x5x2x3+(6+2x)log(2)+(72+12x+(6x)log(2))log(6+x)6x2+x3dx
  3.33.38 1+2x+2x24e2x2x22log(x)xdx
  3.33.39 9x215x3+9x4+(6x+13x29x3)log(x31+x)+(2x+2x2)log2(x31+x)(2+2x)log2(5)dx
  3.33.40 12(3e3x+ex(2+x+log(2)))dx
  3.33.41 (1018x45x212x3+15x4+3log(54))dx
  3.33.42 1260x+143x24x364872x+2x2dx
  3.33.43 x22x3+6e3xx3+e5x(2+5x)+ex(2x4+x5)x3dx
  3.33.44 25xlog(2)log2(4x2)dx
  3.33.45 3x4+e9+6x2+x4x3(2727x6x26x3+x5)x4+2x5+x6dx
  3.33.46 13(8+6x27x2)dx
  3.33.47 136x3x2+ex(1818x3x2)36+12x+x2+e(36+12x+x2)dx
  3.33.48 e12+4x+(5x25exx210x3)log(exx)3+x(15x+10x235x3+10x4+ex(15x20x2+5x3)+(30x+85x220x3+ex(30x+10x25x3))log(exx))96x+x2dx
  3.33.49 265x+512x2+e2+x(256x256x2)+(9512x+e2+x(256+256x))log(4e2x)+(256x+256log(4e2x))log(x+log(4e2x))256x+256log(4e2x)dx
  3.33.50 e5+x(9+24x16x2)+e5(924x+16x2)+12e4log(2)e5(924x+16x2)dx
  3.33.51 4+6x2x2+(2xx2+xlog(x))log(2412x+12log(x))+(4+4xx2+(2+x)log(x))log(2412x+12log(x))log(1(8+4x)log2(2412x+12log(x)))(20x2+20x35x4+(10x2+5x3)log(x))log(2412x+12log(x))+(40x+40x210x3+(20x+10x2)log(x))log(2412x+12log(x))log(1(8+4x)log2(2412x+12log(x)))+(20+20x5x2+(10+5x)log(x))log(2412x+12log(x))log2(1(8+4x)log2(2412x+12log(x)))dx
  3.33.52 9x3+e2+x+2x2x(2x+2x2)+e2+x+2x22x(6x+6x3)4x3dx
  3.33.53 124log(x)+(3+log(x))x(4+(124log(x))log(3+log(x)))3+3x+(1+x)log(x)+(3+log(x))1+xdx
  3.33.54 1xdx
  3.33.55 1968+1760x560x2+1280x4512x5+(656+1024x1136x2+1024x3256x4)log(log(4))75645x267650x3+34805x4+10880x57520x6+2560x7+1280x8+(50430x261910x3+43840x47360x52560x6+2560x7)log(log(4))+(8405x213120x3+11680x45120x5+1280x6)log2(log(4))dx
  3.33.56 ex4+e2log(2)+(4e2)log(2)+(ex4+e2(8+2e2)8x2e2x)log2(ex4+e2x)(ex4+e2(4+e2)4xe2x)log2(ex4+e2x)dx
  3.33.57 11520+13248x1335x2186x33x4+(81x2144x3+82x416x5+x6)log(3)+(6144+2880x+204x2+(108x2132x3+44x44x5)log(3))log(x)+(768+3x2+(54x240x3+6x4)log(3))log2(x)+(12x24x3)log(3)log3(x)+x2log(3)log4(x)(81x2144x3+82x416x5+x6)log(3)+(108x2132x3+44x44x5)log(3)log(x)+(54x240x3+6x4)log(3)log2(x)+(12x24x3)log(3)log3(x)+x2log(3)log4(x)dx
  3.33.58 (52x)log(x)+(5+x)log(5x+x2)+(5xx2+(5x+x2)log(x))log2(5x+x2)+(5x+x2+(5x+x2)log(x))log(x2)log2(5x+x2)(5x+x2)log2(5x+x2)dx
  3.33.59 (1+ee48x)dx
  3.33.60 8580x+(10+100x)log(x)+25log2(x)x+10xlog(x)+25xlog2(x)dx
  3.33.61 3exx(9x29x3+e3x(4+14x6x2)+e2x(1646x+42x29x3)+ex(24x42x2+18x3))e4xx+9x3+e3x(8x+6x2)+ex(24x218x3)+e2x(16x30x2+9x3)dx
  3.33.62 e2+x8exx(88x)dx
  3.33.63 e1+12x(448x)x216e2+24x+8e1+12xx2+x4dx
  3.33.64 (63x)log(4+2x)+(24x+2x2)log(log(4+2x))(6+15x12x2+3x3)log(4+2x)dx
  3.33.65 (1240x240e16x)log(5e3)x2+240x3+14400x4+14400e32x4+e16(240x3+28800x4)dx
  3.33.66 14e3+x(255x+10log(4))dx
  3.33.67 (6x+1156e289x4x3)dx
  3.33.68 ex(3+(93x)log(x))x4dx
  3.33.69 36x72x2+72xlog(x)196x2196xlog(x)+49log2(x)dx
  3.33.70 (12+2x)log(3)+log(4)log(4)dx
  3.33.71 e2x4eexx(1+e2x+4eexx2x+eex(4x4exx2))dx
  3.33.72 12x2+ex(60x48x2+12x3+e4/x(24012x+12x2))+(60x+12x2+e4/x(24012x+12x2))log(5x)+(ex(60x12x2)+(60x12x2)log(5x))log(ex+log(5x))ex(5x+x2+e8/x(5x+x2)+e4/x(10x+2x2))+(5x+x2+e8/x(5x+x2)+e4/x(10x+2x2))log(5x)+(ex(10x2x2+e4/x(10x2x2))+(10x2x2+e4/x(10x2x2))log(5x))log(ex+log(5x))+(ex(5x+x2)+(5x+x2)log(5x))log2(ex+log(5x))dx
  3.33.73 8240x2+7800x464000x6+390625x9+1600000x104875000x12+3750000x143125000x16390625x9dx
  3.33.74 1010x+(1010x)log(x)10xlog2(x)+e3ee5(2020x+(2020x)log(x)20xlog2(x))+e6ee5(1010x+(1010x)log(x)10xlog2(x))36+12x2+x4+(24x+4x3)log(x)+(16x2+2x4)log2(x)+4x3log3(x)+x4log4(x)+e6ee5(1+2x2+x4+(4x+4x3)log(x)+(6x2+2x4)log2(x)+4x3log3(x)+x4log4(x))+e3ee5(12+14x2+2x4+(28x+8x3)log(x)+(22x2+4x4)log2(x)+8x3log3(x)+2x4log4(x))dx
  3.33.75 e4(x3+x4)+e4+x2(2x2+2x32x42x5)+(e4+x2(1+x)+e4(x+x2))log(1+x)+log(3x)(e4+x2x+e4x2+(e4(xx2)+e4+x2(2x22x3))log(1+x))x3+x4+e2x2(x+x2)+ex2(2x2+2x3)dx
  3.33.76 3125250x5x2+e3/x(1125+705x+15x2)625+50x+x2dx
  3.33.77 140+88x216x312x4+(40x+8x3)log(e7/x(2510x2+x4))45x230x3+4x4+6x5+x6+(30x+10x26x32x4)log(e7/x(2510x2+x4))+(5+x2)log2(e7/x(2510x2+x4))dx
  3.33.78 exx3+eiπlog(163)x(iπ+xlog(163))x3dx
  3.33.79 2x48x3+e(148x2)+e10+2x(1+2x48x2)ex+e10+2xx+x2dx
  3.33.80 e5x(396+4e3+80x4x2)+e4x(1584x+1904x2336x3+16x4+e3(16x16x2))+e3x(482376x2+5232x33360x4+528x524x6+e3(24x248x3+24x4))+e2x(32+64x21584x3+5072x45728x5+2592x6368x7+16x8+e3(16x348x4+48x516x6))+ex(32x+80x232x3412x4+1664x52700x6+2080x7740x8+96x94x10+e3(4x416x5+24x616x7+4x8))16+648x21440x3+7505x429320x5+51524x645720x7+21286x85080x9+636x1040x11+x12+e6(x44x5+6x64x7+x8)+e3(8x2+16x3170x4+684x51118x6+872x7318x8+44x92x10)+e4x(6561+e62916x+486x236x3+x4+e3(162+36x2x2))+e3x(26244x37908x2+13608x32088x4+148x54x6+e6(4x4x2)+e3(648x+792x2152x3+8x4))+e2x(648144x+39374x296228x3+77274x423544x5+3354x6228x7+6x8+e6(6x212x3+6x4)+e3(8972x2+2160x31416x4+240x512x6))+ex(1296x1584x2+26548x390412x4+115668x567212x6+17932x72388x8+156x94x10+e6(4x312x4+12x54x6)+e3(16x+16x2648x3+2088x42384x5+1104x6168x7+8x8))dx
  3.33.81 e3/x(3+x)17x+6x2+ex(12x12x2)+e2x(2x4x2)xdx
  3.33.82 405774x+36e2x432x260x3+9x4+2x545060x2+2x4dx
  3.33.83 20+24x2+16x34x4+(2x28x3+2x4+(1040x+10x2)log(25x24+32x+56x232x3+4x4))log(15(x2+5log(25x24+32x+56x232x3+4x4)))(x24x3+x4+(520x+5x2)log(25x24+32x+56x232x3+4x4))log2(15(x2+5log(25x24+32x+56x232x3+4x4)))dx
  3.33.84 e4x4x5+e4x4(4816x)log(6+2x)log(log(6+2x))(3x5+x6)log(6+2x)log2(log(6+2x))dx
  3.33.85 12(4+ee3x+8ex)dx
  3.33.86 ee2xx(2+e3x(22e2)+e2x(2+2e2)3x2x2+ex(1+e2(12x)+2x)+e2(x+2x2))e5x(1+3e23e4+e6)+e4x(6+e2(129x)+3x3e6x+e4(6+9x))+e3x(1212x3x2+3e6x2+e4(12x9x2)+e2(12+24x+9x2))+e2x(8+12x+6x2+x3e6x3+e2(12x12x23x3)+e4(6x2+3x3))dx
  3.33.87 ex(1212exx+x2+e3(13x3x2+x3)+(1+e3x)log(3)+(13x+3x2x3xlog(3))log(x))4xdx
  3.33.88 257x18x227x3+18x49x2+9x3dx
  3.33.89 ex(36+36x19x2+10exx2+x3)5x2dx
  3.33.90 4xx2+log(3)+ex(46x+x2+(1x)log(3))+(4+2xlog(3))log(x)32x216x3+2x4+(16x24x3)log(3)+2x2log2(3)dx
  3.33.91 12e2x(5+2x+2log(2))dx
  3.33.92 92e56elog(x15)8elog2(x15)16x3+8x3log(x15)+x3log2(x15)dx
  3.33.93 15xxdx
  3.33.94 x2+ee4+4x+x2(4+16e4+4xx8x2)x2dx
  3.33.95 (e2/x(4020x)10x+(2x4e2/xx)log(x(x+2e2/xx)5))log(1+log(x(x+2e2/xx)5)x)x2+2e2/xx2+(x2+2e2/xx2)log(x(x+2e2/xx)5)dx
  3.33.96 2e3xx144e2xx2+(e2x(432x2+216x3)+ex(10368x31728x4))log(x)+ex(20736x317280x4+2592x5)log2(x)+(20736x6+3456x7)log3(x)e3x+36e2xx2log(x)+432exx4log2(x)+1728x6log3(x)dx
  3.33.97 2xdx
  3.33.98 5+12x+12x24x3+e4+x(20x4x2+2x3)e4dx
  3.33.99 16exx16exlog(x)+(ex(84x+4x2)+ex(4+4x)log(x))log(9x2)(x3+3x2log(x)+3xlog2(x)+log3(x))log3(9x2)dx
  3.33.100 e2e5+ex+x(1+ex)dx