3.61 Integrals 6001 to 6100

  3.61.1 3744x+6x2+e2(15+x)3(1250+2x)+e15+x3(37441244x+2x2)+(3744+6x+e15+x3(1250+2x))log(625x)1875+3xdx
  3.61.2 125(2625ex+25log(3))dx
  3.61.3 128192x16x3(16x48x2+21x3+4x4)log2(16+48x21x24x39x2)dx
  3.61.4 251log(2+x2)(25x+e2xx)1log(2+x2)((50+25x+e2x(2+5x+2x2))log(2+x2)+(25xe2xx)log(125(25x+e2xx)))(50x+25x2+e2x(2x+x2))log2(2+x2)dx
  3.61.5 12e4+x12e8+2x144+14e4+x(9624e+48x)+116e8+2x(16+e2+e(84x)+16x+4x2)dx
  3.61.6 e13+ex2xx2(e2x+e13ex+2x+x2+ex(12x))dx
  3.61.7 20x4x3+3x2log(e2x+2(5+2x)x)log3(e2x+2(5+2x)x)dx
  3.61.8 12+exdx
  3.61.9 22xxdx
  3.61.10 (15+x2)log(x2)+(180+24x12x2)log(log(x2))+(453x2)log(x2)log2(log(x2))(225240x+94x216x3+x4)log(x2)+(1350540x96x2+60x36x4)log(x2)log2(log(x2))+(2025+540x234x236x3+9x4)log(x2)log4(log(x2))dx
  3.61.11 (64e4x16eeeex+eex+ex+x)dx
  3.61.12 189x+(2+x)log(42x)+2log2(2)log(15(9log(42x)))189x+(2+x)log(42x)dx
  3.61.13 e1+e1xx(e1xx2)x2dx
  3.61.14 e1616x(32e2+2xx21+3x242x25+(7168e4+4xx18+e2+2x(672x21+448x22))log(x)+(688128e6+6xx15+e4+4x(64512x1843008x19))log2(x)+(36700160e8+8xx12+e6+6x(3440640x15+2293760x16))log3(x)+(1174405120e10+10xx9+e8+8x(110100480x1273400320x13))log4(x)+(22548578304e12+12xx6+e10+10x(2113929216x9+1409286144x10))log5(x)+(240518168576e14+14xx3+e12+12x(22548578304x615032385536x7))log6(x)+(1099511627776e16+16x+e14+14x(103079215104x3+68719476736x4))log7(x))2097152xdx
  3.61.15 e25+e23xx2x(23x2x2)dx
  3.61.16 (17+2x2log(x)log2(x))dx
  3.61.17 12eex+(6x+6xlog(3))log(x2)6eex+xxlog(x2)log(log(x2))+((3x3xlog(3))log(x2)+3eexlog(x2)log(log(x2)))log(xxlog(3)+eexlog(log(x2)))((xxlog(3))log(x2)+eexlog(x2)log(log(x2)))log3(xxlog(3)+eexlog(log(x2)))dx
  3.61.18 16(1+18e3x+6e6x+4e2x2x+ex2(12x+e3x(6+4x)))dx
  3.61.19 e19(36x96x2+100x348x4+9x5)(1264x+100x264x3+15x4)36e19(36x96x2+100x348x4+9x5)+3e29(36x96x2+100x348x4+9x5)dx
  3.61.20 e9+x2+log(x)log(x5log2(4))(2x2+5log(x)+log(x5log2(4)))xdx
  3.61.21 (2e2+2x+2x6x2+4x3+e1+x(22x2x2))dx
  3.61.22 216+216x54x2+ex(36144x+99x218x3)+(108+216x81x2)log(9)+(108216x+81x2)log(x)e3x9e2xlog(9)+27exlog2(9)27log3(9)+(9e2x54exlog(9)+81log2(9))log(x)+(27ex81log(9))log2(x)+27log3(x)dx
  3.61.23 e3x+4x2+(8x224x316x4)log(3)xdx
  3.61.24 88x+2x2+e3x+x22+x(156x+104x226x3)+e3x+x22+x(6x4x2+x3)log(x)104x+104x226x3+(4x4x2+x3)log(x)dx
  3.61.25 (16e25+x)log(16e25+x)+(16xe25+x2)log(x)log2(16e25+x)+(xlog(x)+(16e25x)log(x)log(16e25+x))log(log(x))(16x2e25+x3)log(x)log2(16e25+x)dx
  3.61.26 4+e2xx+144x2+(4+144x2+2e2xx2)log(x)144x2dx
  3.61.27 (6x2e5x)log(x2)25log(7)+50log(7)log(x2)+25log(7)log2(x2)dx
  3.61.28 e2log2(x)8x+2x2+3e4+xx24x3((328x12e4+xx+16x2)log(x)+(16+8x24x2+e4+x(12x+6x2))log2(x))64x232x3+68x4+9e8+2xx416x5+16x6+e4+x(48x3+12x424x5)dx
  3.61.29 ex(x2+(8x2x3+(1x)log(2))log(x)+(x2+x3)log(x)log(log(x)))x2log(x)dx
  3.61.30 x2+2exx2+e2x(1+2x)+ee10(1+2e2x+2x+ex(2+2x))(e2xx+x2+2exx2+x3+ee10(e2x+x+2exx+x2))log(e2x+x+2exx+x2ee10+x)dx
  3.61.31 e4+(1+x)log(x27)+log(x27)log(log(4+x))log(x27)((328x)log(4+x)+log2(x27)(x+(4x+x2)log(4+x)))(4x+x2)log2(x27)log(4+x)dx
  3.61.32 3+e2x(4896x)+6ex2x3125+125e2x21250x+125x2+32000e4xx2+ex2(1250250x4000e2xx)+e2x(20000x+4000x2)dx
  3.61.33 e12+16x+7x2+x3(64+56x+12x2)dx
  3.61.34 e4(18+72x63x2+9x3)3232x24x2+32x38x5+2x6dx
  3.61.35 exx+e4+x+8x2(6+9x+144x2+ex(3+144x))+e4+x+8x2(2+ex(496x)6x96x2)log(ex+x)+e4+x+8x2(x+16x2+ex(1+16x))log2(ex+x)ex+xdx
  3.61.36 e576040ex+9x240ex9x2(230400ex103680x)1600e2x720exx2+81x4dx
  3.61.37 e51x2(1+2x+101x2204x3+102x4)+ex2(10x3+5x410x5+10x6)x22x3+x4dx
  3.61.38 61465687808log(2)4704log2(2)112log3(2)log4(2)+(61465687808log(2)4704log2(2)112log3(2)log4(2))log(x)1024x5log5(x)dx
  3.61.39 (15x+11x22x3+ex(3xx2))x(15+22x6x2+ex(3+xx2)+(15+ex(3x)+11x2x2)log(15x+11x22x3+ex(3xx2)))240176x+32x2+ex(48+16x)+(120+ex(248x)+88x16x2)(15x+11x22x3+ex(3xx2))x+(15+ex(3+x)11x+2x2)(15x+11x22x3+ex(3xx2))2xdx
  3.61.40 (82x)log(x)+4log2(x)60log4(x)+e3+2log(x)log(x)(32log(x)46log2(x)+15log4(x))(4xx2)log2(x)+(60x+15x2)log4(x)+e3+2log(x)log(x)(xlog2(x)+15xlog4(x))dx
  3.61.41 4+x.12/x(1+log(x))+2log(x25)2x2dx
  3.61.42 320e4x+1280e4xxlog(x)40xlog2(x)+20eex+xxlog2(x)+(64e4x+256e4xxlog(x)8xlog2(x)+4eex+xxlog2(x))log(256e8x64e4xxlog(x)+e2exlog2(x)+4x2log2(x)+eex(32e4xlog(x)4xlog2(x))log2(x))16e4xxlog(x)+eexxlog2(x)2x2log2(x)dx
  3.61.43 612x2+2x3+e4(2+4x2)6x+2e4x+x2dx
  3.61.44 6+4xx24log4(2)44x+x2dx
  3.61.45 12log(3)4exlog(3)exxlog(3)log(x)+(54+36ex6e2x)log5(x)(54x36exx+6e2xx)log5(x)dx
  3.61.46 4log(x)2510x+x2+(102x)log(x)+log2(x)dx
  3.61.47 1144(143ex576e3+4ex+x)dx
  3.61.48 15eeexx+x+exx(1x)dx
  3.61.49 2+log(3)(2xx2+xlog(3))log(3x105x+5log(3)+(2x+log(3))log(5))dx
  3.61.50 e88x8x3+8x4+e2x(8x2+8x3)e2xx2+x3(24x+16x2+8e4xx3+8x5+e2x(168x+16x2+16x4))e4xx3+2e2xx4+x5dx
  3.61.51 (3+6x3x2+e2eex1+x(12x+x2))log(96e2eex1+x+e4eex1+x)+e2eex1+x(ee(168x)+ee(84x)log(2+x5))6+9x3x3+e2eex1+x(23x+x3)dx
  3.61.52 4+ee2x+2x(28x)3x2+12x3+e2(2x8x2)1+4xdx
  3.61.53 310xx2+1875x51875x6+1875x7625x8x2625x7+625x8dx
  3.61.54 160x+68x28x34xlog(7)+(72x+16x2)log(7)log(4x)8xlog2(7)log2(4x)168x+x2+(82x)log(7)log(4x)+log2(7)log2(4x)dx
  3.61.55 ex(9x+3x2+(9x23x3+(24x2+3x4)log(x)+(9x+3x2+(18x3x23x3)log(x))log(3+x))log(log(x))+(9x+3x2+(18x3x23x3)log(x))log(log(x))log(log(log(x))))(3+x)log(log(x))dx
  3.61.56 23+23x2+8x323x10x2+23x3+4x4dx
  3.61.57 eexx+x(1+x)+2x2x2dx
  3.61.58 (45xx2)log(16+4x)+(x2exx2+(4x+ex(8x+2x2))log(16+4x))log(ex(5+10exx)2x)4x2x3+ex(8x3+2x4)dx
  3.61.59 110+16x+(55+16x+x2)log(3x2110+32x+2x2)55+16x+x2dx
  3.61.60 4xx3+e5+2x(4+2x3)e5+2xx3x4dx
  3.61.61 40log(2)+(x+exx)log2(x)(40xlog(2)log(x)+(x+exx+x28xlog(2))log2(x))log(40log(2)+(1+ex+x8log(2))log(x)log(x))dx
  3.61.62 12xlog(x)+log(x)log(log(x))log(x)dx
  3.61.63 2x46x52x6+e2+x(16x16x28x3)+(8e2+xx2+2x5)log(e2x(4e2+x+x3)x2)+(2x36x42x5+e2+x(1616x8x2)+(8e2+xx+2x4)log(e2x(4e2+x+x3)x2))log(1x+log(e2x(4e2+x+x3)x2))x4x5+e2+x(4x4x2)+(4e2+xx+x4)log(e2x(4e2+x+x3)x2)dx
  3.61.64 x2+13e5ex+x(33exx)e5ex+xx+x2dx
  3.61.65 (18x232x3+(12x+36x2)log(x)12xlog2(x)+eeeex(16x+24x2+(1224x)log(x)+6log2(x)+eeex+ex(ex(2x2+8x3)12exx2log(x)+6exxlog2(x))))dx
  3.61.66 10x20x2+30x320x42x5+10x620x7+20x810x9+2x10+(5x16x3+52x460x5+28x64x7)log(3)+(32x+48x218x3+2x4)log2(3)+(10+10x20x2+8x432x5+48x632x7+8x8+(32x272x3+48x48x5)log(3))log(x)+(12x3+36x436x5+12x6+(16x+20x24x3)log(3))log2(x)+(8x216x3+8x4)log3(x)+(2x+2x2)log4(x)x54x6+6x74x8+x9+(8x318x4+12x52x6)log(3)+(16x8x2+x3)log2(3)+(4x4+12x512x6+4x7+(16x2+20x34x4)log(3))log(x)+(6x312x4+6x5+(8x2x2)log(3))log2(x)+(4x2+4x3)log3(x)+xlog4(x)dx
  3.61.67 180+31x+x2+(36x+4x2+x2log(x))log(36+4x+xlog(x)x)(180x56x2+4x3+(5x2+x3)log(x))log(36+4x+xlog(x)x)dx
  3.61.68 (e6x4x2(68x)+e3x2x2(6688x+(68x)log(16)))dx
  3.61.69 184x+ex+x2(184x368x2)+e116(144192x+64x2+(24+16x)log(x)+log2(x))(2762024x+1472x2+(23+184x)log(x))32xdx
  3.61.70 (34x+eex(1exx)+log(x3))dx
  3.61.71 75x23x3+(75x2+ex(1250100x+2x2))log(x)+ex(625+675x51x2+x3)log2(x)1875x2150x3+3x4dx
  3.61.72 122x+12x23x33x4+(2x+2x2)log(2)+(2x2x2)log(1+x)x3+x4dx
  3.61.73 60+xx2+72log(x)6log2(x)+ee4x2(22+e4x2(160x2+8x3)+(2+16e4x2x2)log(x))2x2dx
  3.61.74 5+x2+4x5+e9(x2+2x3)x2dx
  3.61.75 10251562500+655560624846x+956153602500x2+537220650631x3+421106423750x4+300666345007x5+66719025000x6+19129907088x7+11418525000x8+2315325870x9+309318750x10+199763982x11+32805000x12+1653372x13+1822500x14+157464x15+6561x17+(10251562500+105583541256x+50497830000x2+249324860016x3+101333160000x4+109725878352x5+54772425000x6+19766210568x7+9979237500x8+3136702320x9+576450000x10+279578952x11+65610000x12+4408992x13+3645000x14+419904x15+17496x17)log(x)+(3417187500+13317516882x+23856525000x2+45764940852x3+33720862500x4+27268993494x5+16890562500x6+8088703996x7+3671500000x8+1634486040x9+452250000x10+157425444x11+54675000x12+5143824x13+3037500x14+489888x15+20412x17)log2(x)+(379687500+89282088x+5287275000x2+2516210568x3+6271425000x4+3315266496x5+3215250000x6+1703927664x7+958687500x8+414657360x9+191625000x10+48700296x11+24300000x12+3429216x13+1350000x14+326592x15+13608x17)log3(x)+(37200870x+562443750x2+289046070x3+829575000x4+368861040x5+536625000x6+203719860x7+201000000x8+60273900x9+46343750x10+10916790x11+6075000x12+1428840x13+337500x14+136080x15+5670x17)log4(x)+(9920232x+32805000x2+26453952x3+65610000x4+30862944x5+54675000x6+20575296x7+24300000x8+8573040x9+6075000x10+2286144x11+810000x12+381024x13+45000x14+36288x15+1512x17)log5(x)+(1653372x+1822500x2+4408992x3+3645000x4+5143824x5+3037500x6+3429216x7+1350000x8+1428840x9+337500x10+381024x11+45000x12+63504x13+2500x14+6048x15+252x17)log6(x)+(157464x+419904x3+489888x5+326592x7+136080x9+36288x11+6048x13+576x15+24x17)log7(x)+(6561x+17496x3+20412x5+13608x7+5670x9+1512x11+252x13+24x15+x17)log8(x)43046721x+6454383750x2+247181588131x3+393768923750x4+225959313757x5+58365900000x6+19129907088x7+10532587500x8+2315325870x9+309318750x10+199763982x11+32805000x12+1653372x13+1822500x14+157464x15+6561x17+(114791256x+9491580000x2+73543610016x3+67161285000x4+62850878352x5+44141175000x6+19766210568x7+8840175000x8+3136702320x9+576450000x10+279578952x11+65610000x12+4408992x13+3645000x14+419904x15+17496x17)log(x)+(133923132x+5631525000x2+19397753352x3+17773987500x4+19944774744x5+11828062500x6+8088703996x7+3123062500x8+1634486040x9+452250000x10+157425444x11+54675000x12+5143824x13+3037500x14+489888x15+20412x17)log2(x)+(89282088x+1743525000x2+2516210568x3+2980800000x4+3315266496x5+2146500000x6+1703927664x7+841500000x8+414657360x9+191625000x10+48700296x11+24300000x12+3429216x13+1350000x14+326592x15+13608x17)log3(x)+(37200870x+309318750x2+289046070x3+576450000x4+368861040x5+452250000x6+203719860x7+191625000x8+60273900x9+46343750x10+10916790x11+6075000x12+1428840x13+337500x14+136080x15+5670x17)log4(x)+(9920232x+32805000x2+26453952x3+65610000x4+30862944x5+54675000x6+20575296x7+24300000x8+8573040x9+6075000x10+2286144x11+810000x12+381024x13+45000x14+36288x15+1512x17)log5(x)+(1653372x+1822500x2+4408992x3+3645000x4+5143824x5+3037500x6+3429216x7+1350000x8+1428840x9+337500x10+381024x11+45000x12+63504x13+2500x14+6048x15+252x17)log6(x)+(157464x+419904x3+489888x5+326592x7+136080x9+36288x11+6048x13+576x15+24x17)log7(x)+(6561x+17496x3+20412x5+13608x7+5670x9+1512x11+252x13+24x15+x17)log8(x)dx
  3.61.76 58x38x2dx
  3.61.77 (2+e4+2xe2xx(2+4x))dx
  3.61.78 4x3log2(2)dx
  3.61.79 x+log(log(5))+eee3+ex+log2(x+log(log(5))log(log(5)))(xlog(log(5))+ee3+ex+log2(x+log(log(5))log(log(5)))(e3+ex(exx2exxlog(log(5)))+2xlog(x+log(log(5))log(log(5)))))x+log(log(5))dx
  3.61.80 256x128x2+(256+128x352x2128x38x4)log(x)+(256+640x+672x2+176x3+16x4)log2(x)+(38464x+624x2+560x3+184x4+24x5+x6)log3(x)(32+48x+24x2+4x3)log3(x)dx
  3.61.81 116(192+768x+576x2+e8+4x(3+12x)+e4+2x(48192x96x2))dx
  3.61.82 12(4+20x+36x2+8x3+ex(5+7x+x2))dx
  3.61.83 4x+6x24x3+(2x+x2)log(2)+ex(6xx2x3)log(2)+(4x+4x2+(42x)log(2)+ex(4+2x)log(2))log(42x+2x2+(2x)log(2)+ex(2+x)log(2))log(log(42x+2x2+(2x)log(2)+ex(2+x)log(2)))(8x6x3+2x4+(8+4x+2x2x3)log(2)+ex(84x2x2+x3)log(2))log(42x+2x2+(2x)log(2)+ex(2+x)log(2))log2(log(42x+2x2+(2x)log(2)+ex(2+x)log(2)))dx
  3.61.84 45+6e46e1+x16e3+16e3+3x+360e2x2700ex2+6750x316e12x3+e2x(48e3+360e2x48e6x)+e4(48e2x+720ex22700x3)+e8(48ex2+360x3)+ex(48e3720e2x+2700ex2+48e9x2+e4(96e2x720ex2))dx
  3.61.85 4+iπ9x+2x2+log(3)4+xdx
  3.61.86 75x+60x2+39x3693x4+90x5+45x6+e2x(225x2+420x375x430x5)+(22530x15x2)log(3x)+(225x230x315x4)log(5+x)75x2+10x3+5x4dx
  3.61.87 2+8log(5)16log2(5)18log(5)+16log2(5)dx
  3.61.88 4+5x2+8x33x44x5+(4+x2)log(4x)4x2dx
  3.61.89 19e3exx(ex(2x+4x2+x3)+3exx(x2x4)log(3))dx
  3.61.90 e8+e12(3+9x3x2)+e8(3+12x3x2)+e4(6x+2x2)+e8(3xx2)log(3+x)+e8(3x+x2)log(x)12x+4x2+e4(36x212x3)+e8(27x3+9x4)+(e4(12x4x2)+e8(18x2+6x3))log(3+x)+e8(3x+x2)log2(3+x)+(e4(12x+4x2)+e8(18x26x3)+e8(6x2x2)log(3+x))log(x)+e8(3x+x2)log2(x)dx
  3.61.91 64+44x52x287x3+33x4+35x510x64x7+x8+(64+20x+32x29x34x4+x5)log(16+5x+4x2x34+x2)+log(x)(128+60x+64x225x38x4+3x5+(12840x64x2+18x3+8x42x5)log(16+5x+4x2x34+x2))64x3+20x4+32x59x64x7+x8dx
  3.61.92 81+eex(16+ex(8116x))e2ex+2eexx+x2dx
  3.61.93 1+e23x+(1+e2)log(x)(x+e2x3x2)log(x)dx
  3.61.94 3654x36x436x5+2x996x4+x8dx
  3.61.95 e2x+e2e2510x+x2(4+4ex)+ee2510x+x2(4ex+e258x+x2(204x))8e2e2510x+x2+2e2x8ee2510x+x2+xdx
  3.61.96 e12(5e1x2x5x25x3)(2x+10x3+15x4+e1x2(105x2))2e5e1x2x5x25x3x4e12(5e1x2x5x25x3)x2+2x3dx
  3.61.97 3+x16+8log(log(16))dx
  3.61.98 33log(240)x2dx
  3.61.99 486x486x2+324x3+468x4+162x5+18x6+(162x+324x2+216x3+60x4+6x5)log(5)+(648x4+648x5+216x6+24x7)log(12(33xlog(5)))+(1296x3324x4+972x5+564x6+84x7+(432x3+540x4+216x5+28x6)log(5))log2(12(33xlog(5)))+(648x6+432x7+72x8)log3(12(33xlog(5)))+(972x5+216x6+612x7+144x8+(324x5+252x6+48x7)log(5))log4(12(33xlog(5)))+(216x8+72x9)log5(12(33xlog(5)))+(288x7+180x8+108x9+(96x7+36x8)log(5))log6(12(33xlog(5)))+24x10log7(12(33xlog(5)))+(30x9+30x10+10x9log(5))log8(12(33xlog(5)))3+3x+log(5)dx
  3.61.100 e1316x+4x2(163e13+16x4x28x)dx