3.30 Integrals 2901 to 3000

  3.30.1 917x98x225x3+(1800x+475x275x3)log(9+x)+(9x)log(x)9+xdx
  3.30.2 24x+(2x4x22x3)log(x+x2)+(2x2x2)log(x+x2)log(log(x+x2))(x2+x3)log(x+x2)+(x+x2)log(x+x2)log(log(x+x2))dx
  3.30.3 200120x2+50x356x4+12x510x6+2x7+x9+2x10100x+80x340x4+56x516x6+20x78x8+4x9+4x10+4x11dx
  3.30.4 4e2+118098x16x2+e(39366+16x)e2x34ex4+4x5dx
  3.30.5 1+(1+x2x2)log(5x)xlog(5x)dx
  3.30.6 1+ex(120x3+60x4)3+ex(1440x1440x2+360x3)+e2x(172800x2345600x3+259200x486400x5+10800x6)dx
  3.30.7 (40x2+40x310x4)log2(x)+(23x+x2)log(xx2)+log(x)(2+5x2x2+(22x+x2)log(xx2))(120x2120x3+30x4)log2(x)dx
  3.30.8 20075x25x2200x3120x4+40x5+(5080x360x4)log(x)100+100x+25x2+160x3+160x4+40x5+64x6+64x7+16x8dx
  3.30.9 25x+10x2+e25(25+e25+x+5log(5)+5log(x))(10+2e25+xx)+e15(25+e25+x+5log(5)+5log(x))(30+20x+e25+x(6x+2x2))5xdx
  3.30.10 4+6x+2x2+(2+2x)log2(2)+(4+2x+2log2(2))log(25x2+50xlog2(2)+25log4(2)e10)x+log2(2)dx
  3.30.11 1+e5+(10+x)log(3)+log(3)log2(16)log(3)(e5+(10+x)log(3)+log(3)log2(16)log(3)x)log(e5+(10+x)log(3)+log(3)log2(16)log(3)x)dx
  3.30.12 e44x3x2+2x3+x4x2ee8xx+e2e8xx(4+3x24x33x4+ee8x(43x2+4x3+3x4+e8(8x+8x2+6x34x42x5)))x2+3ee8xx23e2e8xx2+e3e8xx2dx
  3.30.13 (50+(100+100x)log(2)+(100+100x)log(x))log(4e2xx2log(2)+4e2xx2log(x))+(50log(2)50log(x))log2(4e2xx2log(2)+4e2xx2log(x))x3log(2)+x3log(x)dx
  3.30.14 18x216x2+(72x288x2)log(x+4x2)1+4xdx
  3.30.15 10log(5x)+(5x10x2log(5x))log(x2)5log(x2)log(ex2log(x2))(4x+4x2+x3)log(x2)+(4x+2x2)log(5x)log(x2)log(ex2log(x2))+xlog2(5x)log(x2)log2(ex2log(x2))dx
  3.30.16 ex(ex(44xx2)+e(2+2x+x2))4+4x+x2dx
  3.30.17 110ex33x2+2e2x33x22510ex33+e2x33xdx
  3.30.18 50x4+(450+300x50x2150x4)log(x)+(450150x150x4)log2(x)+(450150x50x4)log3(x)x3+25x5+(3x3+75x5)log(x)+(225x150x2+22x3+75x5)log2(x)+(225x150x2+24x3+25x5)log3(x)dx
  3.30.19 13(18e2x+18x+12x2+4x3+ex(117+56x+10x2))dx
  3.30.20 153xx23log2(4)5x2+x3+x2log2(4)dx
  3.30.21 (26x+e2x(2x+2x2))dx
  3.30.22 240+380x160x2+20x3+(7x2+6x3x4)log2(2)+(60+80x20x2)log(34x+x2)(12x219x3+8x4x5)log2(2)+(3x24x3+x4)log2(2)log(34x+x2)dx
  3.30.23 1020log(x)+5log(x)log(5x2log(x))log(x)log3(5x2log(x))dx
  3.30.24 ee4xx+xlog(x)log(x)(e4x+e4x(1x)log(x)+log2(x))ee4xx+xlog(x)log(x)log2(x)+(4+4e10e20)log2(x)dx
  3.30.25 400+e2(e1+x+2x+exx)2+ex(8+8ex+2e2x+4e1+x)+32x+e2x(100+8x)+ex(400+32x)+ee1+x+2x+exx2+ex(184+16x+e2x(46+4x)+e1+x(100+8x)+ex(184+16x))4+4ex+e2xdx
  3.30.26 2+10x5x210x+5x2dx
  3.30.27 515x2xlog(x)50x40x2+8x3dx
  3.30.28 e7x/3((192+e7x/3(3612x+12x2))log3(x)+(112x+e7x/3(3x+6x2))log4(x))3xdx
  3.30.29 1+ex(1x)81x2dx
  3.30.30 85+50e490x+150x2+25log(3)+ex(15884x+230x2+64x3+e4(100+24x)+(50+12x)log(3))+e2x(488x+83x2+46x3+6x4+e4(32+16x+2x2)+(16+8x+x2)log(3))25+ex(40+10x)+e2x(16+8x+x2)dx
  3.30.31 13(790e5/390x)dx
  3.30.32 4+x22x3log(x)+(4+x2)log(x)log(4log(x))(4x2x4)log(x)+(4x+x3)log(x)log(4log(x))dx
  3.30.33 10x+160x2+3x3+(150x+3x2)log(x)+(10x2+10xlog(x))log(x2+2xlog(x)+log2(x))10x+10log(x)dx
  3.30.34 5x3+e4/x(100+65x+14x2+x3)25x3+10x4+x5dx
  3.30.35 ex(7e22x+6e1x+log(4))+ex(7e22x+6e1x+log(4))log(x)+ex(7x+e22xx+xlog(4))log(x)log(xlog(x))xlog(x)dx
  3.30.36 54x4+9x5+12x63x7+(72x236x3+4x4)log2(3)+(18+7x)log4(3)+(18x52x7+(18x3+8x4)log2(3))log(x2)+x7log2(x2)9x76x8+x9dx
  3.30.37 (1xx2)log(4eex)+log2(4eex)(2x2+4x32x4+(2x+4x22x3)log(x+x2))+(ex(x2+x3)+ex(x+x2)log(x+x2))log(x+log(x+x2))log2(4eex)(x2+x3+(x+x2)log(x+x2))dx
  3.30.38 46x3x36x43x5+(812x312x4)log(log(5))12x3log2(log(5))3x3+6x4+3x5+(12x3+12x4)log(log(5))+12x3log2(log(5))dx
  3.30.39 25x3x4log(4x)+(2450x3+x4199x4log(4x)4x5log2(4x))log(x)+(10000x3+100x4+(700x4+4x5)log(4x)+12x5log2(4x))log2(x)+(500000x3+60000x4log(4x)+2400x5log2(4x)+32x6log3(4x))log3(x)(31250+3750xlog(4x)+150x2log2(4x)+2x3log3(4x))log3(x)dx
  3.30.40 1+e2x(x+x2+3x3x4)+(x+x2+3x3x4)log(x)+(e2xxxlog(x))log(e2x+log(x))e2x(x3x5)+(x3x5)log(x)+(e2xx2x2log(x))log(e2x+log(x))+(e2x(x2+x4)+(x2+x4)log(x)+(e2xx+xlog(x))log(e2x+log(x)))log(12(x+x3+log(e2x+log(x))))dx
  3.30.41 e20log(3)dx
  3.30.42 ex(20ex1280x2+640x5160x6+40x95x10)x2dx
  3.30.43 25x2+(15+3x2)log(5)100x2+25x3+(15x15x2+3x3)log(5)dx
  3.30.44 256+1250e2xx3+1250x4+ex(1250x31250x4)125x3dx
  3.30.45 25x3+35x4+11x5+x6+e2510x3+5x4+e(10x32x4)25x3+5x4(75+20x+7x4)25x4+10x5+x6dx
  3.30.46 e2exx(1250x+ex(1250+1250x)+(1250x+ex(2500+2500x))log(x)+ex(1250+1250x)log2(x)+e2exx(200x+2x2200xlog(x))+eexx(ex(500500x)+1000x+(ex(10001000x)+1000x)log(x)+ex(500500x)log2(x)))x2dx
  3.30.47 84x+4log(3)log2(5)4xlog(x)(8192x+12288x26144x3+1024x4+(12288x+12288x23072x3)log(3)+(6144x+3072x2)log2(3)1024xlog3(3)+(3072x3072x2+768x3+(3072x1536x2)log(3)+768xlog2(3))log2(5)+(384x+192x2192xlog(3))log4(5)+16xlog6(5))log3(x)dx
  3.30.48 16x3+24x4+12x5+2x6+e2x2x+x2(44x+5x2+4x3+x4)8x4+8x5+2x6+e2x2x+x2(4x2+4x3+x4)dx
  3.30.49 125(4920+17048x14760x2+3600x3+e10(800x960x2+256x3)+e5(1200+7520x7536x2+1920x3))dx
  3.30.50 e6516x+x2(16+2x)dx
  3.30.51 75150x+690x2+294x3+30x4+(150x+60x2+6x3)log(x)+(150x+60x2+6x3)log2(x)125+50x+5x2dx
  3.30.52 e3(180x)16x(x+80x2)dx
  3.30.53 e16+2xx+8e16x2+e4e2x(4e2x+2e2xlog(x))e16+2xx2+e4e2x(4e2xx4e2xxlog(x)+e2xxlog2(x))dx
  3.30.54 5x7x24x3+e5(52x2x2)+ex(xx2x3+e5(1x2))+(e5xx2)log(5)+(10x+6x2+e5(5+4x)+ex(2x+x2+e5(1+x))+(e5+2x)log(5))log(x)e2x(e10x2+2e5x3+x4)log(5)+(25x4+20x5+4x6+e10(25x2+20x3+4x4)+e5(50x3+40x4+8x5))log(5)+(10x4+4x5+e10(10x2+4x3)+e5(20x3+8x4))log2(5)+(e10x2+2e5x3+x4)log3(5)+ex((10x4+4x5+e10(10x2+4x3)+e5(20x3+8x4))log(5)+(2e10x2+4e5x3+2x4)log2(5))dx
  3.30.55 e6561+5832x22916x3+1944x41944x5+774x6432x7+232x8+e4x8+e5x868x9+24x108x11+x12+e2(162x4+72x636x7+8x88x9+2x10)+(2916x21944x4+972x5432x6+432x7140x8+48x924x10+4x11+e2(36x68x8+4x9))log(x)+(486x4+216x6108x7+24x8+2e2x824x9+6x10)log2(x)+(36x68x8+4x9)log3(x)+x8log4(x)x8(5248837908x2+14580x39720x4+6804x51980x6+864x7140x820x9+24x1020x11+4x12+e2(648x4180x6+36x78x84x9+4x10)+(17496x2+8748x42916x5+1296x6648x7+48x836x10+12x11+e2(72x6+4x8+4x9))log(x)+(1944x4540x6+108x724x812x9+12x10)log2(x)+(72x6+4x8+4x9)log3(x))x9dx
  3.30.56 9ex9exxlog(4x21)2xlog2(4x21)dx
  3.30.57 15(9ex(1+24ex+12x)+45exlog(log(4)))dx
  3.30.58 16(4+ex(44x)+3x2)dx
  3.30.59 34xlog(x)4xdx
  3.30.60 162e1+3e3+e1895+9x+1895+9x9025+1710x+81x2dx
  3.30.61 10+2log(5)+(5log(5))log(4x2)4x2dx
  3.30.62 1223+16x+(1223+8x)log(x)+405log2(x)+45log3(x)1215+1215log(x)+405log2(x)+45log3(x)dx
  3.30.63 2+x+e4xx2+xlog(16x2)e4xx2+xlog(16x2)dx
  3.30.64 3+e1+e3+x(1+x)log(75)dx
  3.30.65 2x+e4x2+x4+e2(12x3)+e2x(3x+e4x2+x4+e2(22x3))+(12e4x+4e2x22x3+e2x(12e4x+4e2x22x3))log(1+e2x)+(e42e2x+x2+e2x(e42e2x+x2))log2(1+e2x)x2+e4x3+x5+e2(x2x4)+e2x(x2+e4x3+x5+e2(x2x4))+(x2e4x22x4+e2(1+4x3)+e2x(x2e4x22x4+e2(1+4x3)))log(1+e2x)+(e4x2e2x2+x3+e2x(e4x2e2x2+x3))log2(1+e2x)dx
  3.30.66 ex+20+25x+e2exx(4x+4x2)4+5x(ex(1640x+25x2)+e2exx(32x2104x3+112x440x5+ex(16x32x2+20x3)))1640x+25x2dx
  3.30.67 16+5x5x3+ex32x42x3dx
  3.30.68 600300x+67x2+8x3x41800x+150x2+99x32x4x5+(600x150x28x3+2x4)log(30075x4x2+x3x)dx
  3.30.69 e3x+e2x(42x)+4x2+ex(8xx2)+(4exxlog(5)+4x2log(5))log(3x2)+(x2log(5)+ex(2xx2)log(5))log2(3x2)e2x+2exx+x2dx
  3.30.70 2+e2x(7050x)2x+ex(32+16x)110ex+25e2xdx
  3.30.71 e4x+e2e43x2x2x(4+e2e43x2x2(1+e43x2(4x212x4)))dx
  3.30.72 81+x7776x5+96x6+64x5log(81+x)+(12960x4+160x5)log2(81+x)+96x4log3(81+x)+(7776x3+96x4)log4(81+x)+48x3log5(81+x)+(1944x2+24x3)log6(81+x)+8x2log7(81+x)+(162x+2x2)log8(81+x)81+xdx
  3.30.73 509+e2x(24x)+63x2+2x36x4+ex(64+64x4x24x3)x2dx
  3.30.74 2048+4096x2+3072xlog(2)+ex(100x+75log(2))100x+75log(2)dx
  3.30.75 x6/x(x22x4+(x+2x3)log(9)+(30x+5x2+6x3x4+(306x2)log(9)+(36xx26x3+(36+6x2)log(9))log(x)+(6x+6log(9))log2(x))log(5+x2+log(x)))5x2+x4+x2log(x)dx
  3.30.76 13e13(3ex22xlog(5)+log2(5)e4e3x2+4e3e3x36e2e3x4+4ee3x5x6)(2e4e3x+12e3e3x224e2e3x3+20ee3x46x5+ex22xlog(5)+log2(5)(6x6log(5)))dx
  3.30.77 2xdx
  3.30.78 12(1+2ex)dx
  3.30.79 360027x3+9e5x3+e5(4003x3)log(1100(400+3x3))400x2+3x5dx
  3.30.80 6x12x3+30x423x23x4+6x5dx
  3.30.81 20x2+e4+x2x(4010x2)e3+2(4+x2)xx2+e3+4+x2x(8x2+4x3)+e3(16x2+16x3+4x4)dx
  3.30.82 ex(320x96x2+208x364x4)+ex(128x+64x2)log(x)216+540x882x2+845x3588x4+240x564x6+(432720x+876x2480x3+192x4)log(x)+(288+240x192x2)log2(x)+64log3(x)dx
  3.30.83 44x+(46x)log(x)1296x3log3(x)(81x3+162x4+81x5)log3(x)dx
  3.30.84 e63x+x2+(2x)log(4xx2)2+x(16+8x20x22x3+x4)16x12x2+x4dx
  3.30.85 e2x(2+x)+(ex(4+2x)+e2x(3x+2x2))log(x)+(24e2x+x4e3xx+ex(6x+4x2))log2(x)+(3x+2x2)log3(x)e4xxlog2(x)+2e3xxlog3(x)+e2xxlog4(x)dx
  3.30.86 e3+e3+e512+2e2+64x+2x2x(4e3x+ee512+2e2+64x+2x2(4+e512+2e2+64x+2x2(256x+16x2)))xdx
  3.30.87 252x3+(2595xx3)log(5)+(25+95x+x3)log(25+95x+x35x)75x2+285x3+3x5dx
  3.30.88 2718x18e4x+3x29x6x2+x3dx
  3.30.89 e240x5x+exlog(x)(960exx200x2+ex(1040x+960x2)log(x)8e2xlog2(x))25x5+10exx4log(x)+e2xx3log2(x)dx
  3.30.90 2log(9)log(9)log(3x2)xlog(3x2)dx
  3.30.91 22ex+(1+ex(1x))log(x)+(1+ex+(1ex)log(x))log(5x+exx)(10x10exx)log(x)+(5x+5exx)log(x)log(5x+exx)+((2x2exx)log(x)+(x+exx)log(x)log(5x+exx))log(2log(x)log(x)log(5x+exx)x)dx
  3.30.92 625625x+250e2x25e4x+(1000x200e2x)log(19)400xlog2(19)15625+46875x46875x2+15625x330e10x3+e12x3+e2(18750x+37500x218750x3)+e6(1500x22500x3)+e8(75x2+375x3)+e4(1875x11250x2+9375x3)+(75000x+150000x275000x3600e8x3+24e10x3+e4(18000x230000x3)+e6(1200x2+6000x3)+e2(15000x90000x2+75000x3))log(19)+(30000x180000x2+150000x34800e6x3+240e8x3+e2(72000x2120000x3)+e4(7200x2+36000x3))log2(19)+(96000x2160000x319200e4x3+1280e6x3+e2(19200x2+96000x3))log3(19)+(19200x2+96000x338400e2x3+3840e4x3)log4(19)+(30720x3+6144e2x3)log5(19)+4096x3log6(19)dx
  3.30.93 2log2(log(5))log(4x+5log(log(4))log(log(25)))4x+5log(log(4))log(log(25))dx
  3.30.94 380+76ee53x2+(38076ee5+9x2)log(2x)76log2(2x)dx
  3.30.95 1xx2+(12x3x2)log(x)(x+x2+x3)log(x)dx
  3.30.96 e2(7+x)x(89664x)+192x81x54e2(7+x)xx+9e4(7+x)xxdx
  3.30.97 1740x52388x6+1143x7222x8+15x9+(64x+32x2)log(29+5x5+x)+(46404628x+1240x2100x3)log2(29+5x5+x)1740x52388x6+1143x7222x8+15x9dx
  3.30.98 14e14(4+4x+64x264x3+(1x)log(9))(4+4x+128x2192x3xlog(9))dx
  3.30.99 2+log(x)x+xlog(x)dx
  3.30.100 e2(2x2exlog(2)log(4)+2log2(2)log(4))x(2x+e2(2x2exlog(2)log(4)+2log2(2)log(4))x(1+2x)+ex(4+4x)log(2)log(4)+4log2(2)log(4)+e2x2exlog(2)log(4)+2log2(2)log(4)x(4x+ex(44x)log(2)log(4)4log2(2)log(4)))dx