3.85 Integrals 8401 to 8500

  3.85.1 3232x+(12864x32x232log(2))log(516+8x+4x2+4log(2))(8x4x22x32xlog(2))log(516+8x+4x2+4log(2))+(4+2x+x2+log(2))log(516+8x+4x2+4log(2))log(log(516+8x+4x2+4log(2)))dx
  3.85.2 15(10x+ee15(10x2eexx2exx+2x2)(5+e15(10x2eexx2exx+2x2)(10x4x2+ex(2x+2x2)+eex(2x+2exx2))))dx
  3.85.3 8ex+eex2x8(8ex+ex2(12x2))8+8eex2x8dx
  3.85.4 50x+25x2+(50x+25x2)log(x)+(90+60x+10x2+(3010x)log(3+x))log(1+log(x))+(10x+5x2+(10x+5x2)log(x))log2(1+log(x))6x+2x2+(6x+2x2)log(x)dx
  3.85.5 (16x2)log(2)+log(2)log(3)5+(1+x2x3)log(2)+xlog(2)log(3)dx
  3.85.6 9x2+3x3+(3x2+3x3)log(1+x)+eexx(25x+(25+25x+ex(25x25x3))log(1+x))3x2+3x3dx
  3.85.7 2x2+ex(4x2x2)+e1+x(exx2)5e5+2xx2+20e4+xx3+20e3x4dx
  3.85.8 (32x+10e5x8e15x)log(5)2e5log2(5)e5x3dx
  3.85.9 36x212x318x2log(5)+e80x40(492+240x+246log(5))4+4x+x2+(4+2x)log(5)+log2(5)dx
  3.85.10 116e14(4x65exx)(12+12x+ex(195x195x2))dx
  3.85.11 1+(5x)log(5x)+e3(100+20x)log2(5x)(5x)log(5x)+e3(100+20x)log2(5x)dx
  3.85.12 338x31066x4+1170x5472x6+28x7+(338x+1170x21394x3+652x496x5+4x6)log(2)x6+3x73x8+x9+(3x4+9x59x6+3x7)log(2)+(3x2+9x39x4+3x5)log2(2)+(1+3x3x2+x3)log3(2)dx
  3.85.13 e2x+48e2x15x16+x17(11520+624x96x2)225x1730x18+x19dx
  3.85.14 3072+2432x+268x2+8x3+eex/4(64+ex/4(16xx2))1024+128x+4x2dx
  3.85.15 2x4+3x5+4x6+(5x4+12x5)log(x)+12x4log2(x)+4x3log3(x)x3+3x2log(x)+3xlog2(x)+log3(x)dx
  3.85.16 12e4+e2(15log(x)+3log2(x))e4(903e4+120x+(36+48x)log(x))e4x2dx
  3.85.17 135180x9x212x34x4+ex(9x2+21x3+16x4+4x5)9x2+12x3+4x4dx
  3.85.18 e36002280x+361x2400log2(x)(36002280x+361x2+(1140x361x2)log(x)+200log2(x)+200log3(x))100log2(x)dx
  3.85.19 ex2x+5x2+e1x4x2x2+(5x2+2ex2x3+e1x4x2(2+x22x4))log(x)x2dx
  3.85.20 (2x+5e4+e18x+16x2+(2+8x)log(100)+log2(100)e5+e18x+16x2+(2+8x)log(100)+log2(100)8x+16x2+(2+8x)log(100)+log2(100)((832x)log(5)8log(5)log(100)))dx
  3.85.21 25x+15x2+e5/x(500+175x30x2)+ex(x4x2)9765625x+e5xx9765625x2+3906250x3781250x4+78125x53125x6+e20/x(48828125x87890625x2+62500000x321875000x4+3750000x5250000x6)+e10/x(97656250x136718750x2+74218750x319531250x4+2500000x5125000x6)+e5/x(48828125x+58593750x227343750x3+6250000x4703125x5+31250x6)+e25/x(9765625x+19531250x215625000x3+6250000x41250000x5+100000x6)+e15/x(97656250x+156250000x297656250x3+29687500x44375000x5+250000x6)+e4x(125x25x2+e5/x(125x+50x2))+e3x(6250x2500x2+250x3+e5/x(12500x+7500x21000x3)+e10/x(6250x5000x2+1000x3))+e2x(156250x93750x2+18750x31250x4+e10/x(468750x468750x2+150000x315000x4)+e5/x(468750x+375000x293750x3+7500x4)+e15/x(156250x+187500x275000x3+10000x4))+ex(1953125x1562500x2+468750x362500x4+3125x5+e15/x(7812500x+10937500x25625000x3+1250000x4100000x5)+e5/x(7812500x+7812500x22812500x3+437500x425000x5)+e20/x(1953125x3125000x2+1875000x3500000x4+50000x5)+e10/x(11718750x14062500x2+6093750x31125000x4+75000x5))dx
  3.85.22 e2e4(512x1024x2+768x3256x4+32x5+e8(4+x2))e16x2+4096x48192x5+6144x62048x7+256x8+e8(128x3+128x432x5)dx
  3.85.23 e5(42x)+5x2+ex2(10x3+e5(1+2x2))e5(iπ+log(25))16x2+e2x2x28x3+x4+(8x2+2x3)(iπ+log(25))+x2(iπ+log(25))2+ex2(8x22x32x2(iπ+log(25)))dx
  3.85.24 1+10x380x2+93x32944x41280x5xdx
  3.85.25 4e2+e(1616x)+28x+16x2+(4e28ex)log(x)18x+e2x+14x2+4x3+e(8x4x2)+(2e2x+e(8x4x2))log(x)+e2xlog2(x)dx
  3.85.26 (24x12e4x+(4x2e4x)log(25)+ee(12+6e4+(2+e4)log(25)))dx
  3.85.27 (2eex+xx4+12x5+(12x5+6x6+eex(4x3+2x4))log(13(eex+3x2))log(log(13(eex+3x2))))log(ex(x25exlog(log(13(eex+3x2))))log(log(13(eex+3x2))))+((2eexx36x5)log(13(eex+3x2))log(log(13(eex+3x2)))+(10eex+xx+30exx3)log(13(eex+3x2))log2(log(13(eex+3x2))))log2(ex(x25exlog(log(13(eex+3x2))))log(log(13(eex+3x2))))(eexx23x4)log(13(eex+3x2))log(log(13(eex+3x2)))+(5eex+x+15exx2)log(13(eex+3x2))log2(log(13(eex+3x2)))dx
  3.85.28 e2e4x221xx26x(x2+e4x2(2+16x2))6x2dx
  3.85.29 e27+108x12x316x527x+9x3(8181x+81x2342x3201x532x7)81x3+54x5+9x7dx
  3.85.30 27+e13(942x+49x2)(42x2+98x3)3x2dx
  3.85.31 e2x(2+2e5)+e2e5x(8e8x+2x+e4x(2+8x))e2x+e2e5x(4+e8x+2e4xx+x2)dx
  3.85.32 6+32x2+(3+581x+194x2+3072x3+1024x4)log(3+x)+(2+(192x+64x2)log(3+x))log(log(3+x))(3+x)log(3+x)dx
  3.85.33 e3x(36+72x2e3xx2+(24+36x)log(x))x3dx
  3.85.34 5iπlog(4)x2+e5+e5x2dx
  3.85.35 75+90x+3x2+(120x24x2+(7530x+3x2)log(xe))log(8x+(5+x)log(xe)5+x)log(log(8x+(5+x)log(xe)5+x))(40x8x2+(2510x+x2)log(xe))log(8x+(5+x)log(xe)5+x)dx
  3.85.36 44x+2ex+(400x3400x4+200ex4)log(x2)+(400x3500x4+250ex4)log2(x2)+(10000x7+5000ex7)log3(x2)+(10000x7+5000ex7)log4(x2)2+edx
  3.85.37 (76log(4))dx
  3.85.38 e2xlog(x3+x)+x2log(3+x)log(x3+x)(9+18x5x2+(18x+x3+x4)log(x3+x)+log(3+x)(9x2+3x3+(18x2+2x4)log(x3+x)))9+x2dx
  3.85.39 811x232x33x4+e2x(816x33x22x3)+(32x2+4x3)log(2)+(8x2)log2(2)+ex(48x2+36x3+2x4+(1616x34x22x3)log(2))4x2dx
  3.85.40 3x+3x3+(x+x2)log(3)+ex(1+x3x2+x3)log(3)+(3xexxlog(3)+(x2x2)log(3))log(x)3x3+3x4+ex(x2x3)log(3)+(3x2+exxlog(3)+(x2x3)log(3))log(x)+xlog(3)log2(x)dx
  3.85.41 1545x+45x215x3+(600x+210x2162x36x4+6x5+e2x(96x216x2+48x3+192x4144x5+24x6))log2(4+x)(413x+15x27x3+x4)log2(4+x)dx
  3.85.42 19e22x(6log2(4)2log2(4)log(5))dx
  3.85.43 eex+1024e31255000x3000x2800x380x4x5(exx+1024e31255000x3000x2800x380x4(55000x6000x22400x3320x4)x5)xdx
  3.85.44 8+36e5x5log(5)44x+3e5x6log(5)dx
  3.85.45 215xexx4x22log(x)xdx
  3.85.46 2+90x3x+18x4dx
  3.85.47 16+32e2x+ex(728x)+2x81log2(3)dx
  3.85.48 ex(1536288x+ex(507234x27x2))169+78x+9x2dx
  3.85.49 1+(30x234x317x425x5+6x6)log(25+5x+(5+x)log(2))(5+x)log(25+5x+(5+x)log(2))dx
  3.85.50 4ex+(ex(4x+x2)+4exx2(iπ+log(log(4)))+exx2log2(log(4))(iπ+log(log(4))))log(4+x+4x(iπ+log(log(4)))+xlog2(log(4))(iπ+log(log(4)))x(iπ+log(log(4))))4x+x2+4x2(iπ+log(log(4)))+x2log2(log(4))(iπ+log(log(4)))dx
  3.85.51 e4(15x6x2)+e4(6+3x)log(e2x(2+x))2x2+x3dx
  3.85.52 (1024x41536x5)log(x)+e4(1024x31536x4)log2(x)+e8(384x2576x3)log3(x)+e12(64x96x2)log4(x)+e16(46x)log5(x)+(2048x43072x5+(768x5+e4(1536x32304x4))log(x)+(e8(384x2576x3)+e4(512x31536x4))log2(x)+(e12(32x48x2)+e8(384x2864x3))log3(x)+e12(96x192x2)log4(x)+e16(815x)log5(x))log(x2)(8x5+24x6+18x7)log5(x)log2(x2)dx
  3.85.53 12(ex(10+2log2(2))5x7log7(x)5x7log8(x))dx
  3.85.54 16x16ex1+e3+12x48x2+64x3+e2(3+12x)+e(324x+48x2)dx
  3.85.55 1x+(x2+x3)log(4)+e1+x(2+2x+(2x2+2x3)log(4))+e2+2x(1+2x+(x2+2x3)log(4))x2+x4log(4)dx
  3.85.56 4x2+log2(2)4x2dx
  3.85.57 e3(22x)2log(e22)e3dx
  3.85.58 e5x(1+x+x2)+e5x(6x+7x2+5x3)log(1x)xlog(5)log2(1x)dx
  3.85.59 ex(8x+2x2+4x3x4x5+(44x4x2+4x3+x4x5)log2(5))44x2+x4dx
  3.85.60 ex/4(48x)+ex/4(7x2x2)log(15xlog(5))20xdx
  3.85.61 ex(2525x)16x2dx
  3.85.62 256+16x4+32x5+x9+x10+(256+80x4+32x5+x10)log(x)(256x+16x5+32x6+x10+x11)log(x)dx
  3.85.63 (4620x2+2160x3+240x4+(816x2+192x3)log(x)+36x2log2(x))dx
  3.85.64 8eee25x3log(2)dx
  3.85.65 10020x+ex(10+2x)+(100+ex(10+10x2x2))log(25x)x2log2(25x)dx
  3.85.66 12150x22x2x4121+22x2+x4dx
  3.85.67 3x2+e4x2+ex(3+x+x2)9x2+6x3+x4dx
  3.85.68 20x2+(4010x2)log(4+x2)+(8x2x3)log(4+x2)log2(xlog(4+x2))(4x+x3)log(4+x2)log2(xlog(4+x2))dx
  3.85.69 (12x24x212x3)log(5)+(9x2+36x3+27x4)log(x)+((8+16x+8x2)log2(5)+(24x224x3)log(5)log(x))log(log(x))+(4+4x2)log2(5)log(x)log2(log(x))9e5x2log(x)dx
  3.85.70 (108+12e16)dx
  3.85.71 10+6e4log(5)3e4log(5)dx
  3.85.72 e16e2(5x+log(x))x+2(5x+log(x))x(3232log(x))x2dx
  3.85.73 400800e2400e4(16x+x2)log2(16x4x)dx
  3.85.74 16+16x+53x210x3x41+10x+27x2+10x3+x4dx
  3.85.75 ee2x1+e8(12x)2x1+e8(25e8+2x)1+e8dx
  3.85.76 e102x(92164608x+(4608+6912x4608x2+e5+x(576x288x2)+e5+x(19296x)log(2x))log(x)+(e5+x(96x+576x2288x3)+e5+x(192+96x96x2)log(2x))log2(x)+(e10+2x(12x2+9x3)+2e10+2xxlog(2x)+e10+2x(2x)log2(2x))log3(x))(2x2+x3)log3(x)dx
  3.85.77 400+16x2+e25(1004x2)243(15625+17500x+6150x2+700x3+25x4)dx
  3.85.78 4+3x+eex+xx3x+eexx+3x2xlog(x4)dx
  3.85.79 9e4+e9x+9xdx
  3.85.80 e1+2x(225425x10x2+450x3+287x441x599x635x74x8)+e(15002700x2900x3+1620x4+1080x5144x6324x7108x812x9)16000x4+28800x6+9600x717280x811520x9+1536x10+3456x11+1152x12+128x13+e6x(54x4+54x5+18x6+2x7)+e4x(1080x4720x5+528x6+648x7+216x8+24x9)+e2x(7200x4+2400x58640x65760x7+1632x8+2592x9+864x10+96x11)dx
  3.85.81 6250+e2e8x/5(516e8x/5x)3125dx
  3.85.82 3x4+3e25+10e3x+e6x2x2x3log(x)+e13(5+log(x+e25+10e3x+e6x2x2log(x)))(e25+10e3x+e6x2x2x2x3+e25+10e3x+e6x2x2(5010e3x)log(x))3x4+3e25+10e3x+e6x2x2x3log(x)dx
  3.85.83 15(6ex+e4x(43x24x3)+e3x(14+3x15x211x3+3x4))dx
  3.85.84 1627x2x2+(3x+x2)log(e4xx4)+(5x2x2+(4xx2)log(e4xx4)+(5+2x+(4+x)log(e4xx4))log(5+2x+(4+x)log(e4xx4)))log(xlog(5+2x+(4+x)log(e4xx4)))(5x2x2+(4xx2)log(e4xx4)+(5+2x+(4+x)log(e4xx4))log(5+2x+(4+x)log(e4xx4)))log2(xlog(5+2x+(4+x)log(e4xx4)))dx
  3.85.85 e192x+58x2+2x3+e6+x2(24x+8x2)8+e6+x2(1536+928x+48x2+e12+2x2(24+16x)+e6+x2(384+244x+6x2+12x34x4))64+16e6+x2+e12+2x2dx
  3.85.86 52+e3x/4(16+3x)6432x+4x2dx
  3.85.87 410x+4x2+ex(12x+7x24x3)+(8+9x+ex(2+5x6x2x3))log(x)+(4+ex(12x2x2))log2(x)exxlog3(x)x2x3+ex(4x8x2+4x3)+(4x+7x24x3+ex(7x+6x2+x3))log(x)+(8x8x2+ex(2x+2x2))log2(x)+(4x+exx)log3(x)dx
  3.85.88 (13ex)dx
  3.85.89 2112x+3504x21756x3+3x464+288x432x2+216x3dx
  3.85.90 5+2x+2x2+ex(xx2)5xdx
  3.85.91 10+e4(2x)9xx25x+e4x+x2dx
  3.85.92 10+2x2+e4x2+x3(68x+30x226x3+9x4+8x53x6)+e4x2+x3(40x15x28x3+3x4)log(5x2)5+x2dx
  3.85.93 1+x+ex(4x2+4log(3)+log2(3))x+ex(4x4x2+x3+(4x2x2)log(3)+xlog2(3))dx
  3.85.94 e13(3eex+7xe12+4xxx+x2)(e12+4xx(12x)+7x+3eex+xx+2x2)3xdx
  3.85.95 144x80x2+4e5x272log(2)e5x4+2e5x3log(2)+e5x2log2(2)dx
  3.85.96 (10+2x2)log(5+x2x)+(5+x2)log2(5+x2x)20+4x2dx
  3.85.97 4x2+24x4+8x5+e8(24x2+8x3)+e4(8+48x3+16x4)+ex(8+4x2+e4(4+4x))4x2+4x3+x4+e8(4+4x+x2)+e4(8x+8x2+2x3)dx
  3.85.98 75x330x4+3x5+e3/x(15+2x+24x210x3+x4)+(e3/xx23x3)log(e3/x+3xx)75x530x6+3x7+e3/x(25x410x5+x6)+(30x4+6x5+e3/x(10x3+2x4))log(e3/x+3xx)+(e3/xx2+3x3)log2(e3/x+3xx)dx
  3.85.99 12x2+4x36x412xlog(1648x+36x2)+(2+3x)log2(1648x+36x2)2x2+3x3dx
  3.85.100 2+x3x22xx2+x3dx