3.69 Integrals 6801 to 6900

  3.69.1 e5(52x)e5log(4)+eee2x2e5(e5+4x2+4xlog(4))e5dx
  3.69.2 ex(10x+14x2+4x3+(16x+8x2)log(3)+4xlog2(3))+(ex(2x+5x2+5x3+2x4+(4x+8x2+4x3)log(3)+(2x+2x2)log2(3))+ex(2+5x+5x2+2x3+(4+8x+4x2)log(3)+(2+2x)log2(3))log(23x2x2+(44x)log(3)2log2(3)))log(x+log(23x2x2+(44x)log(3)2log2(3)))log(log2(x+log(23x2x2+(44x)log(3)2log2(3))))(2x+3x2+2x3+(4x+4x2)log(3)+2xlog2(3)+(2+3x+2x2+(4+4x)log(3)+2log2(3))log(23x2x2+(44x)log(3)2log2(3)))log(x+log(23x2x2+(44x)log(3)2log2(3)))dx
  3.69.3 1+2x+e12x+x2(2x+2x2)xdx
  3.69.4 1025x+5x2+5x3+ex(x3x4)20log(x)x3dx
  3.69.5 (36x+12e3x2e6x3+(12x+2e3x2)log(4)xlog2(4)+(72x+36e3x24e6x3+(24x+6e3x2)log(4)2xlog2(4))log(x))dx
  3.69.6 e1+x(1+2x+x2+x3)dx
  3.69.7 (48600x+20250e2+2xx)log(log(x))+(48600x+e2+2x(20250x81000x2))log(x)log2(log(x))(248832+518400e2+2x+432000e4+4x+180000e6+6x+37500e8+8x+3125e10+10x)log(x)dx
  3.69.8 10x+2x210x32x4+(60+30x+23x210x3x4)log(110(20+10x+x2))(20x4+10x5+x6)log2(110(20+10x+x2))dx
  3.69.9 e2x(20+4x)log(13(5+x))+log(3+ex)(12ex4e2x+(e2x(20+4x)+ex(60+12x))log(13(5+x)))(15+ex(5+x)+3x)log2(13(5+x))dx
  3.69.10 20160x315x2195x325x4+e4(96+256x+190x2+25x3)+(20x45x225x3+e4(16+40x+25x2))log(e4(45x)+5x+5x24+5x)100x245x2170x325x4+e4(80+216x+165x2+25x3)+(20x45x225x3+e4(16+40x+25x2))log(e4(45x)+5x+5x24+5x)dx
  3.69.11 39249x+9x3log2(3)+e2x(7281x+18x2)log2(3)+ex((336210x+42x2)log(3)+(7245x+9x2)log2(3))196x+49x2+9x4log2(3)+e2x(36x+9x2)log2(3)+ex((168x+42x2)log(3)+(36x+9x2)log2(3))dx
  3.69.12 e3ex2+2x3log(x)6x(1+ex2(1+2x2)+log(x))8x2dx
  3.69.13 100x2+40x34x4+(200x2120x3+16x4)log(x)+(176x2+24x3)log2(x)log(3e100x240x3+4x4+(40x2+8x3)log(x)+4x2log2(x)log(x))log2(x)+8x2log3(x)x2log2(x)dx
  3.69.14 ex+8e8x5+ex+e8xdx
  3.69.15 30+20x+e(3+2xx)5x(15+10x+(3+2xx)5x(75x+(75x50x2)log(3+2xx)))6x2+4x3dx
  3.69.16 54x+(162+54x)log(25x4e4)162log2(25x4e4)x3dx
  3.69.17 e2+e5ex(50x2+50e3+xx2)+e4+2e5ex(50e3+xx50x2+e5ex+x(250e3+xx2250x3))log(e3+xx)log(log(e3+xx))+(50x2+50e3+xx2+e2+e5ex(100e3+xx100x2+e5ex+x(250e3+xx2250x3))log(e3+xx)log(log(e3+xx)))log(log(log(e3+xx)))+(50e3+xx50x2)log(e3+xx)log(log(e3+xx))log2(log(log(e3+xx)))(e3+xx)log(e3+xx)log(log(e3+xx))dx
  3.69.18 45+26x+112x2+18x3+(366x)log(6+x)6+xdx
  3.69.19 1326260x+25x2676260x+25x2dx
  3.69.20 e32x(4e2+2x+e(1+4x4x2)+e(12x)log(x))dx
  3.69.21 4x6x22x3+ex(2x+2x2)+ex2+log2(2x+exxx2)x(2x3x2x3+ex(x+x2)+(44x+ex(2+2x))log(2x+exxx2)+(2ex+x)log2(2x+exxx2))2x+exxx2dx
  3.69.22 384e4(16x)x10x3+10e3x3x2+e3x2dx
  3.69.23 e4+8x+4x2(2424x)dx
  3.69.24 16+4x8log(x)(4x+x2)log(x)dx
  3.69.25 4+37x+32x2+(117x16x2)log(1+x)+(2x+2x2)log2(1+x)16+16x+(88x)log(1+x)+(1+x)log2(1+x)dx
  3.69.26 (5+e)dx
  3.69.27 36+49x+(33x52x2)log(9x)+(6x2+13x3)log2(9x)4x34x4log(9x)+x5log2(9x)dx
  3.69.28 xxlog(x)+(4x6log(x)+4x5log2(x))log(5x+5log(x)log(x))+(xlog(x)log2(x))log(5x+5log(x)log(x))log(log(5x+5log(x)log(x)))(x3log(x)+x2log2(x))log(5x+5log(x)log(x))dx
  3.69.29 (10x32x4)log2(8)+(10+2x)log2(8)log(x)+(102x30x3+6x4)log2(8)log(x2510x+x2)(45x109x11)log3(x2510x+x2)+(135x7+27x8)log(x)log3(x2510x+x2)+(135x427x5)log2(x)log3(x2510x+x2)+(45x+9x2)log3(x)log3(x2510x+x2)dx
  3.69.30 ee16xlog2(x)xlog(5)+xlog(16x2)((2e16xlog(5)+2e16xlog(16x2))log(x)+(e16x(2+(1+x)log(5))+e16x(1x)log(16x2))log2(x))x2log2(5)2x2log(5)log(16x2)+x2log2(16x2)dx
  3.69.31 (16e9+9e18log(4)+(26e9)log(x)+log2(x))dx
  3.69.32 4x3exxxdx
  3.69.33 (1+ee1+5e16+x+e16xe16+1+5e16+x+e16xe16(1+5ex))dx
  3.69.34 ex(2x+x2)4xlog(3)+2xlog(3)log(log(3))log(3)dx
  3.69.35 2log(15+x)5+xdx
  3.69.36 6+2e86e8log(4x)(x+e8xlog(4x))log2(x3+e8x3log(4x)5e8)dx
  3.69.37 11296x2+2x3+16x4x2+x4dx
  3.69.38 4x5x28x3+10x4+(x+2x3)log(5)+(4x10x2+ex2(40100x10log(5))xlog(5))log(ex2(10ex2+x))10ex2+xdx
  3.69.39 4+4xx2+(4+4xx2)log(4+4xx2x)+log(x)(6x2x3+(4+5x2x3)log(4+4xx2x))log(log(x))log(x)(4x4x2+x3+(4x4x2+x3)log(4+4xx2x))log(log(x))dx
  3.69.40 18+6log(log(4+16x39x3))(x+4x4)log(4+16x39x3)dx
  3.69.41 e30+8x(56+8e10+e5(2416x)24x+8x2)+e15+4x(20168e30+2208x1760x2+800x3280x4+56x58x6+e25(56+48x)+e20(280+280x120x2)+e15(800+1120x560x2+160x3)+e10(1760+2400x1680x2+560x3120x4)+e5(2208+3520x2400x2+1120x3280x4+48x5))log(3)7776+e50+e45(1010x)12960x+15120x211520x3+6960x43152x5+1160x6320x7+70x810x9+x10+e40(7090x+45x2)+e35(320560x+360x2120x3)+e30(11602240x+1960x2840x3+210x4)+e25(31526960x+6720x23920x3+1260x4252x5)+e20(696015760x+17400x211200x3+4900x41260x5+210x6)+e15(1152027840x+31520x223200x3+11200x43920x5+840x6120x7)+e10(1512034560x+41760x231520x3+17400x46720x5+1960x6360x7+45x8)+e5(1296030240x+34560x227840x3+15760x46960x5+2240x6560x7+90x810x9)dx
  3.69.42 41x+x2120x372x5+(19x224x4)log(36x)2x3log2(36x)+(18x24x34x2log(36x))log(x)2xlog2(x)25+60x2+36x4+(10x+12x3)log(36x)+x2log2(36x)+(10+12x2+2xlog(36x))log(x)+log2(x)dx
  3.69.43 (1+log2(2)log(log(233)))dx
  3.69.44 128480x+600x2154x3240x4+150x5+24x630x7+2x9+e10(32x16x4)64240x+300x277x3120x4+75x5+12x615x7+x9dx
  3.69.45 e2(e2xe12+6x3exx)(2e2x+e12+6x3exx(6+ex(33x)))e2x+e12+6x3exxdx
  3.69.46 7+14x+2e2x/7x+7xlog(x)7e2x/7x+7x2+(7x+7x2)log(x)dx
  3.69.47 244140000e12585938000x644531700x2429687600x3193359382x461875000x514437500x62475000x7309375x827500x91650x1060x11x12+e8(18751500x450x260x33x4)+e4(11718741875000x1312500x2525000x3131250x421000x52100x6120x73x8)488280000x+2e12x+1171874000x2+1289062200x3+859374960x4+386718748x5+123750000x6+28875000x7+4950000x8+618750x9+55000x10+3300x11+120x12+2x13+e8(3750x+3000x2+900x3+120x4+6x5)+e4(2343748x+3750000x2+2625000x3+1050000x4+262500x5+42000x6+4200x7+240x8+6x9)dx
  3.69.48 3x2e3/2x2+e32+x(3x+x2)+e3/2(6x2x2)log(3+x)e3/2(3x+x2)dx
  3.69.49 200+100x+e6x22x3(8+4x)+e3x2x3(80+40x)+e2(39x+8e3x2x3x)20+4e3x2x3(100x+195x2+e6x22x3(4x+8x2)+e3x2x3(40x+79x2+6x43x5))+e39x+8e3x2x3x20+4e3x2x3(200590x195x2+e6x22x3(824x8x2)+e3x2x3(80238x79x212x3+3x5))50+2e6x22x3+20e3x2x3dx
  3.69.50 288e15x2e30+32e15x3+256x6dx
  3.69.51 e(4x+3x2+4x3)log(2)3xlog(2)log(4)((4+6x+12x2)log(2)3log(2)log(4))dx
  3.69.52 e182e62e3(22x)+6x2x2(1e18+2e6+2e3(22x)6x+2x2+6x+4e3x4x2)dx
  3.69.53 6x16x3+e10(16x+4x216x3)+e5(12x+32x3)12e5+e10dx
  3.69.54 6+2log(4)+(3+3x+(1+x)log(4))log(x2)xlog(x2)dx
  3.69.55 900+300x+(462x4x2)log(4)6x2log2(4)+((462x+154x2)log(4)+(12x22x3)log2(4))log(3+x)+(6x2+2x3)log2(4)log2(3+x)+(12+4x+6xlog(4)+(6x+2x2)log(4)log(3+x))log(9x2)1875x+625x2dx
  3.69.56 20x+85x263x333x4+x6+(40x+x2+86x32x5)log(x)+(32x48x2+x4)log2(x)800+880x+242x280x344x4+2x6+(1280704x+80x2+108x34x5)log(x)+(51264x2+2x4)log2(x)dx
  3.69.57 elog2(900x4+60x2log(x)+log2(x)100x4)(30ex3exlog(x)+(e(164x)+e(32+8x)log(x))log(900x4+60x2log(x)+log2(x)100x4))30x3+xlog(x)dx
  3.69.58 12+6x2x6+e2(20x440x520x6)+e4(10x240x360x440x510x6)+e5(2x+10x2+20x3+20x4+10x5+2x6)+e(146x+10x5+10x6)+e3(20x3+60x4+60x5+20x6)x5+e2(10x320x410x5)+e4(5x20x230x320x45x5)+e5(1+5x+10x2+10x3+5x4+x5)+e(5x4+5x5)+e3(10x2+30x3+30x4+10x5)dx
  3.69.59 ex(ex(4+2x+17x2)+e(64x2+32x34x4))64x232x3+4x4dx
  3.69.60 ex3e2(12e2+3e2+x3e2)log(4+ex3e2)dx
  3.69.61 6x2+10x3+(4x+20x2)log(400)+10xlog2(400)4+20x+25x2+(20+50x)log(400)+25log2(400)dx
  3.69.62 x2+x3+e1+x(2x2x2)log(4)+e2+2x(1+x)log2(4)+(9x+3x2+3x3+x4+e1+x(6x11x23x3)log(4)+e2+2x(3x+x2)log2(4)+(3xx3+e1+x(2x+3x2)log(4)e2+2xxlog2(4))log(x))log(3+xlog(x))(3x3x4+e1+x(6x2+2x3)log(4)+e2+2x(3xx2)log2(4)+(x32e1+xx2log(4)+e2+2xxlog2(4))log(x))log(3+xlog(x))dx
  3.69.63 924x2+4x3+ex2(3+6x2)24x2log(x)24x2dx
  3.69.64 4e4x+24e2xlog(5)+32xlog2(5)+(6e4x+16e2xlog(5))log(2x)+2e4xlog2(2x)e4dx
  3.69.65 (6+5eex+x+2x)dx
  3.69.66 e1+e34+exx(ex(1e3)log(4)+(1+e3)log(4))32+2e2x+ex(164x)16x+2x2dx
  3.69.67 18(12+16e5+2e5+x+x+x+ee5+x(4+e5+x(48+4x)))dx
  3.69.68 105log(log(6))xlog2(x)dx
  3.69.69 e5(102x+10x2+2x3)+e10(108x2x2)log2(5+x)+log(3exx)(e5(10x2x2)+4e10xlog(5+x))5x+11x2+7x3+x4+e5(10x12x22x3)log2(5+x)+e10(5x+x2)log4(5+x)dx
  3.69.70 e2(12x)+6x+14x2+4x3+(e26x2x2)log(e2+6x+2x22x)+log(x)(3e2+12x+2x2+(e26x2x2)log(e2+6x+2x22x))e26x2x2dx
  3.69.71 75+140x+20x3+e2x(3x2+9x4+6x5)+ex(30x29x261x34x4x5+x6)25+ex(10x10x2)+e2x(x2+2x3+x4)dx
  3.69.72 110ex(10+4xx2+(4x+2x2)log(3))dx
  3.69.73 1836x+ex2(1836x2)729243x+216x2+53x3+e3x2x324x43x5+x6+(24354x+51x2+6x33x4)log(4)+(273x+3x2)log2(4)log3(4)+e2x2(27x23x3+3x43x2log(4))+ex2(243x+54x251x36x4+3x5+(54x+6x26x3)log(4)+3xlog2(4))dx
  3.69.74 49x4e2+xx+(4e2+x9x+4log(x))log(14(4e2+x+9x4log(x)))+(4e2+x+9x4log(x))log(14(4e2+x+9x4log(x)))log(xlog(14(4e2+x+9x4log(x))))(4e2+xx29x3+4x2log(x))log(14(4e2+x+9x4log(x)))dx
  3.69.75 15212ee2ee2(62e63x)2ee26+2e6+3xdx
  3.69.76 ex3+log(x4log2(x))+xlog(log(3x)log(x))x2+log(log(3x)log(x))((2x2+(4x2+x5)log(x))log(3x)+(log(x)+(1+2x2log(x))log(3x))log(x4log2(x))+(2+(42x3)log(x))log(3x)log(log(3x)log(x))+xlog(x)log(3x)log2(log(3x)log(x)))x5log(x)log(3x)2x3log(x)log(3x)log(log(3x)log(x))+xlog(x)log(3x)log2(log(3x)log(x))dx
  3.69.77 300x100x2+ex(60+20x)+e3x(6x3x25x3+2x4)+e2x(55x3+15x410x5)+(e3x(6+6x+10x24x3)+e2x(70x240x3+20x4))log(ex(3+x)+15x5x2x)+(e3x(35x+2x2)+e2x(15x+25x210x3))log2(ex(3+x)+15x5x2x)300x100x2+ex(60+20x)dx
  3.69.78 4e4+2x24xlog(625)+2log2(625)x22xlog(625)+log2(625)dx
  3.69.79 (1+512e2x+ex(192192x)+72x)dx
  3.69.80 e5+x2(4x+e5(112x2ex+2e3x+2x2))dx
  3.69.81 11264+83968x+107520x2+50688x3+8192x4+(2304+14592x+12864x2+3072x3)log(5)+(144+840x+384x2)log2(5)+(3+16x)log3(5)32768+49152x+24576x2+4096x3+(6144+6144x+1536x2)log(5)+(384+192x)log2(5)+8log3(5)dx
  3.69.82 e24x2(12x3log3(x3)+(4x348x5)log4(x3))dx
  3.69.83 167x+31x2+8x316x4+(1631x216x3+48x4)log(x)x2log2(x)dx
  3.69.84 200x+120x222x312x4+2x5+(60x2+22x3+18x44x5)log(x)+(400x360x2+88x3+60x412x5)log2(x)+(200x180x2+44x3+30x46x5)log3(x)3log3(x)dx
  3.69.85 x2584+8x+x2+e42x+2x2x2+e2x+x2x(8+2x)(2100200x25x2+(200x+50x2)log(x)+e42x+2x2x2(25+(5050x+100x2)log(x))+e2x+x2x(20050x+(200100x+350x2+100x3)log(x)))7056x1344x2104x3+16x4+x5+e84x+4x2x5+e63x+3x2x3(16x+4x2)+e42x+2x2x2(104x+48x2+6x3)+e2x+x2x(1344x208x2+48x3+4x4)dx
  3.69.86 log(2)dx
  3.69.87 10+ex(2x)5x+exxdx
  3.69.88 3x2+x3+ex+x2(6x+6x2+21x3+6x4)+(6x+2x2+ex+x2(9x+21x2+6x3))log(2e5/3(3+x))+(3+x)log2(2e5/3(3+x))3x3+x4+(6x2+2x3)log(2e5/3(3+x))+(3x+x2)log2(2e5/3(3+x))dx
  3.69.89 4e10+3x2+e5(1+7x)4e10+7e5x+3x2dx
  3.69.90 (e2x+3exx2x2)log(e2xx2exx2e2x2exx+x2)+(e2x3exx+2x3)log(x)log(log(x))+(e2x3exx+2x2)log(x)log(e2xx2exx2e2x2exx+x2)log(log(x))log(log(e2xx2exx2e2x2exx+x2)log(log(x)))(e2x3exx+2x2)log(x)log(e2xx2exx2e2x2exx+x2)log(log(x))dx
  3.69.91 2x+x2+3log(x)(x2x3+xlog(x))log(4x3x2+2x3+x4+(2x2x2)log(x)+log2(x))dx
  3.69.92 e1e2(5010x)+ex(102x)+(5e1e2x+ex(4x+x2))log(x)5xlog3(x)dx
  3.69.93 (2+ex2x)dx
  3.69.94 60e199+20e2x+x23e9x2+3e19+20e2xx2+x3dx
  3.69.95 (3x2+e14x+log2(log(3))(2x4x2))dx
  3.69.96 3+e+ex(9+e2+36x+36x2+e(6+12x))273e2+e(1835x)105x102x2+ex(9+e2+36x+36x2+e(6+12x))dx
  3.69.97 e67837+6x3x2768x(678373x2)3072x2dx
  3.69.98 18+ex(84x)6x6log(32)+ex(364x2(12+4x)log(32))log(3xlog(32))93x3log(32)dx
  3.69.99 (6e3x+6x2e5)dx
  3.69.100 90x218x32x42x3log(x)+(10x2+18x3+4x4+(30x2+6x3)log(x))log(5+x)45+9x+(30x6x2+(306x)log(x))log(5+x)+(5x2+x3+(10x+2x2)log(x)+(5+x)log2(x))log2(5+x)dx