3.34 Integrals 3301 to 3400

  3.34.1 e2ex(25+x2+e2exx2+ex(50x20x22x3)+(204x)log(x)+(10+ex(20x+4x2))log2(x)+4log3(x)+(12exx)log4(x))x2dx
  3.34.2 2e3xx6e2xx22x48e4x4+ex(6x3+e4(16x38x4))e4+3x3e4+2xx+3e4+xx2e4x3dx
  3.34.3 1+15x+(1+5x)log(x10x2+25x3)(1+5x)log(2)dx
  3.34.4 4e4xdx
  3.34.5 ee3x+e2xx2log(e4+64x)e3(e7+64e3x+64e2xx2+e2x(128x2+128x3+e4(2x+2x2))log(e4+64x))e7+64e3xdx
  3.34.6 x25exx+2x2+10exlog(x)+5exxlog2(x)xdx
  3.34.7 48+184x+187x2+90x3+27x448x+152x2+187x3+114x4+27x5dx
  3.34.8 (200+100x)log(10)+(64x332x4+4x5)log(2ex225)400x2200x3+25x4dx
  3.34.9 e9+7xx2xlog(log(log(x)))(24x+(24+168x48x2)log(x)log(log(x))24xlog(x)log(log(x))log(log(log(x))))log(x)log(log(x))dx
  3.34.10 e98(3x)+4x+x2+(e98+x)log(exx2e982x)e98x2x3dx
  3.34.11 153615e12256x2dx
  3.34.12 63x224elog2(4+4x2+x4)xlog(4+4x2+x4)(10+10x+5x2+5x3+elog2(4+4x2+x4)(10+5x2))log2(1+elog2(4+4x2+x4)+x)dx
  3.34.13 e12(128e2+2x+x2)(5+e12(12+8e22xx2)+5x)dx
  3.34.14 x+x2+2x3+(1+x+2x2)log(x)+(12x2+x3+(1x+2x2)log(x))log(x+x2)(x2x3+x4+x5)log2(x+x2)dx
  3.34.15 208x5+16x6+e2x(50x3+4x4)+ex(2x3206x4+16x5)+(308x424x5+e2x(74x26x3)+ex(2x2+304x324x4))log(ex(12x)+25x2x26ex+12x)+(100x3+8x4+e2x(24x+2x2)+ex(98x2+8x3))log2(ex(12x)+25x2x26ex+12x)e2x(12+x)50x2+4x3+ex(49x+4x2)dx
  3.34.16 (2x2+eeex+x2+ex+x2+x+x2(2x2+4x3))log(eeex+x2+x)+(2eeex+x2x2x2)log2(eeex+x2+x)27eeex+x227xdx
  3.34.17 1883x15e2xxe3xx12x2+ex(51x14x2+2x3)+(69x+30exx+3e2xx+2x2)log(x)+(15x3exx)log2(x)+xlog3(x)125x75exx15e2xxe3xx+(75x+30exx+3e2xx)log(x)+(15x3exx)log2(x)+xlog3(x)dx
  3.34.18 120x6x3+(120x6x2+6x3)log(400+40x39x22x3+x4x2)e(20x+x2)log2(400+40x39x22x3+x4x2)dx
  3.34.19 (1+32x+48x2+16x3+e2e4(32x+e5(6448x2)+e10(64x+16x3))+ee4(64x48x2+e5(64+64x+48x2+32x3)))dx
  3.34.20 e4x(4+10x+e4+xx10x24xlog(x))xdx
  3.34.21 e3+x(1+x)2x22e82xx2+2x3+e4x(2x2x2+2x3)+(2x2x22e4xx2)log(x)x2dx
  3.34.22 30+80x20x2+(1510x2)log(4x2)2x2dx
  3.34.23 2x+(64x)log(3x)48x4+48x5+12x6dx
  3.34.24 e15e4(3+e1+5e4(18x+18x2))dx
  3.34.25 (24+ex(66x)+e100+40x+4x2(6+240x+48x2))dx
  3.34.26 ee5x2log(4)log(5)+(1+4log(4))log(5)log(4)(2+20e5x2x2log(5))x2dx
  3.34.27 2ex10+5x+e62x(40+40x+10x2)20+20x+5x2dx
  3.34.28 2016x15x24x3+e3x(20+24x+36x2+16x3)+e2x(6064x88x240x34x4)+ex(60+56x+67x2+26x3+2x4)16+48ex48e2x+16e3xdx
  3.34.29 32+8x+e2x(2+2x)+ex(1610x+2x2)+e4+8x2x2+(4+x)log(x)(96344x+280x282x3+8x4+e2x(616x+8x2)+ex(48+150x98x2+16x3)+(32x2e2xx+16x22x3+ex(16x4x2))log(x))x3+3e4+8x2x2+(4+x)log(x)x3+3e8+16x4x2+2(4+x)log(x)x3+e12+24x6x2+3(4+x)log(x)x3dx
  3.34.30 (ex(1+4x+4log2(3))+log(x))log2(ex(1+4x+4log2(3))+log(x))+exlog(ex(1+4x+4log2(3))+log(x))(1+ex(5x4x24xlog2(3))+(ex(1+4x+4log2(3))+log(x))log(ex(1+4x+4log2(3))+log(x)))(ex(1+4x+4log2(3))+log(x))log2(ex(1+4x+4log2(3))+log(x))dx
  3.34.31 15e2e4x5(10x+2e4x2)dx
  3.34.32 390625x19530625x2+15625x3+(781250x+19531250x2)log(x+25x2)x2+25x3+(1250x+31250x2)log(x+25x2)+(390625+9765625x)log2(x+25x2)dx
  3.34.33 ex(1510x5x2+e5(3+x)(4219x16x2))3+xdx
  3.34.34 elog2(x)+(8x4x2+2xlog(3))log(x)log(5+x)+(16x2+16x3+4x4+(8x24x3)log(3)+x2log2(3))log2(5+x)x2log2(5+x)(2xlog2(x)+((10+2x+8x2+4x32x2log(3))log(x)+(102x)log2(x))log(5+x)+(40x28x24x3+(10x+2x2)log(3)+(40x+8x2+(10x2x2)log(3))log(x))log2(5+x)+(80x3+56x4+8x5+(20x34x4)log(3))log3(5+x))(5x3+x4)log3(5+x)dx
  3.34.35 (4x3+(2x+3x2)log(2))dx
  3.34.36 660+775x241x231x3+8x4+e2(2410x+x2)+(160+120x72x2+8x3)log(4x)660x137x239x3+8x4+e2(209x+x2)+(160x72x2+8x3)log(4x)dx
  3.34.37 14x+e3+x+(4x+x2)log(4)(x+(x+2x2)log(4))xdx
  3.34.38 9x2+x2log2(36)+2log(x)3log2(x)9x3x3log2(36)+xlog2(x)dx
  3.34.39 ee4e6x2x3+x41+x+ee4e6x2x3+x41+xx2(2x4x2+2x3+e4e6x2x3+x41+x(3x46x5+3x6+e6(8x3+4x4)))12x+x2dx
  3.34.40 (2x22x3+(18x+38x2+4x3)log(9+x)log(log(9+x))+(18+20x34x24x3)log(9+x)log2(log(9+x)))log(x+x2+(2+xx2+log(x))log(log(9+x))log(log(9+x)))(9x2+10x3+x4)log(9+x)log(log(9+x))+(18x+11x28x3x4+(9x+x2)log(x))log(9+x)log2(log(9+x))dx
  3.34.41 1800600x550x2+100x3+50x4+(600100x100x2)log(x)+50log2(x)+(1500250x+50x250x350x4+(55050x)log(x)+50log2(x))log(x2)+x3log2(x2)x3log2(x2)dx
  3.34.42 ex(2x)3x+3x5xlog(4)xlog(x)x3dx
  3.34.43 230+50log(3x)xdx
  3.34.44 8+2x2+exx22x32x2dx
  3.34.45 25616log(3)4096+640x+25x2+(512+40x)log(3)+16log2(3)dx
  3.34.46 e3xx2(6e3+2x+x2+ex(6+12x2))dx
  3.34.47 2x2+eex+xx(1xexx)xdx
  3.34.48 (x325x5)log(4)+(3x3+15x5)log(4)log(x+10x3+25x5)+(15x2)log2(x+10x3+25x5)+(1+5x2)log(4x3log(x+10x3+25x5)x)log2(x+10x3+25x5)(1+5x2)log2(4x3log(x+10x3+25x5)x)log2(x+10x3+25x5)dx
  3.34.49 e3(4x3+x4)+e3(4x2+x3)log(4+x)+(4x3+x4+(4x2+x3)log(4+x))log(x+log(4+x))+eelog2(e3+log(x+log(4+x)))x+log2(e3+log(x+log(4+x)))x((10x2x2)log(e3+log(x+log(4+x)))+(e3(4x+x2)+e3(4+x)log(4+x)+(4x+x2+(4+x)log(4+x))log(x+log(4+x)))log2(e3+log(x+log(4+x))))e3(4x3+x4)log(4)+e3(4x2+x3)log(4)log(4+x)+((4x3+x4)log(4)+(4x2+x3)log(4)log(4+x))log(x+log(4+x))dx
  3.34.50 12(3+7x+3x2+2x3+e2(1+2x))dx
  3.34.51 6x+2x225x381x463x519x62x7+(6x+81x2+243x3+189x4+57x5+6x6)log(e23x)+(81x243x2189x357x46x5)log2(e23x)+(27+81x+63x2+19x3+2x4)log3(e23x)27x327x49x5x6+(81x2+81x3+27x4+3x5)log(e23x)+(81x81x227x33x4)log2(e23x)+(27+27x+9x2+x3)log3(e23x)dx
  3.34.52 13(7e+3e2+6x9x2)dx
  3.34.53 5+xxlog(x)(5x+x2)log(x)dx
  3.34.54 e16/625+e2(3x+e16/625(9+x))e16/625(2x+e16/625(1+2x))e16/625dx
  3.34.55 486243x18x318x43x5x3dx
  3.34.56 1576x4+36x6+e8(300x280x34x4)+e4(1600x3+280x4)620944x4+370360x5+83593x6+8460x7+324x8+e16(2500+2000x+600x2+80x3+4x4)+e12(40000x30000x28400x31040x448x5)+e8(238800x2+167020x3+43552x4+5020x5+216x6)+e4(630400x3408640x499112x510680x6432x7)dx
  3.34.57 ee2x25+5x(e2x(143+e(112x)26x)+ee2x25+5x(250x100x2+10x3))12550x+5x2dx
  3.34.58 1256(e5(31251250x)6250x+1875x2)dx
  3.34.59 (1+e36+e16+24x+36x+21x2+6x3+x4+e8+12x(126x2x2)(36+24e16+24x+42x+18x2+4x3+e8+12x(15076x24x2)))dx
  3.34.60 12029x+e2x+(7010x)log(x)+10log2(x)80x39x2+e2x2+5x3+(40x10x2)log(x)+5xlog2(x)dx
  3.34.61 4096x64x3+(256x+60x3+x5)log(4+x2)+(4096x+(256x64x3)log(4+x2))log(log(4+x2))(4096+1024x2)log(4+x2)dx
  3.34.62 1728x2+864ex2864x3+e2x(12x2+12x36x4+e(6x2+6x3))+ex(288x2+72x372x4+e(144x2+72x3))+(ex(216x+72ex72x2)+e2x(18x+6ex6x2))log2(3+ex)+(432x144ex+144x2+ex(36x12ex+12x2))log(x)+(144x72ex+72x2+ex(12x12x2+6x3+e(6x6x2)))log2(x)+(36+12e12x)log3(x)+log(3+ex)(1728x+864ex864x2+e2x(12x+30x212x3+e(6x+12x2))+ex(288x+288x2144x3+e(144x+144x2))+(432144e+144x+ex(3612e+12x))log(x)+ex(18x6ex+6x2)log2(x))3x+exx2dx
  3.34.63 3+2x2+(14x)log(4)+2log2(4)x22xlog(4)+log2(4)dx
  3.34.64 e2(10+(13x+4x2)log(4))xlog(4)(20+8x2log(4))+e10+(13x+4x2)log(4)xlog(4)(100+40x2log(4))x2log(4)dx
  3.34.65 4x3+e2x+4log(3)x2(30x6x2+x3+(12024x)log(3))+(12x3+3e2x+4log(3)x2x3)log(4+e2x+4log(3)x2)12x3+3e2x+4log(3)x2x3dx
  3.34.66 e200+40x+2x22x3(2+(40x+4x26x3)log(x)log(log(x)))xlog(x)log3(log(x))dx
  3.34.67 160x2+6x380x4+10x6+e2(240120x2+15x4)80x240x4+5x6dx
  3.34.68 32x7+(x2)x(32x716x88x8log(x2))+32x7log(log(4))1+(x2)3x+3log(log(4))3log2(log(4))+log3(log(4))+(x2)2x(3+3log(log(4)))+(x2)x(36log(log(4))+3log2(log(4)))dx
  3.34.69 125eex+125(100+10x2+x3)(25ex+20x+3x2)dx
  3.34.70 e8x(e4(3x)x2x3+(2xx2)log(2))5x4dx
  3.34.71 ex21+x+x2(2x+x2)1+2x+3x2+2x3+x4dx
  3.34.72 ex(124150e+330x+(14+70e154x)log(15(210e+22x)))1+5e11xdx
  3.34.73 10+15x3+ex(10x+5x2)+5log(e9+ex(1x)x3x2)log2(e9+ex(1x)x3x2)dx
  3.34.74 390625x1562500x2100000000x4+400000000x5+e8e(x4+4x5)+e6e(400x4+1600x5)+e4e(60000x4+240000x5)+e2e(4000000x4+16000000x5)+(781250x4687500x2500000000x4+2400000000x5+e8e(5x4+24x5)+e6e(2000x4+9600x5)+e4e(300000x4+1440000x5)+e2e(20000000x4+96000000x5))log(x)390625dx
  3.34.75 (2x3+10x4)log2(4x)8x3log2(4x)log(x)+e12(10+e3log(4x))((2x+6x2)log2(4x)4xlog2(4x)log(x)+e3log(4x)(3x23xlog(x)))2log2(4x)dx
  3.34.76 4log(4)1+2x+x2dx
  3.34.77 4log(2)log(9)x2+(16x32e3x)log(2)+(64+256e3+256e6)log2(2)dx
  3.34.78 8x+2e2xx3+ex(4x+4x3)+(8x+6e2xx2+ex(4+4x+8x2))log(3x)+(6e2xx+ex(4+4x))log2(3x)+2e2xlog3(3x)e4x3+4exx3+e2xx3+(8x23e4x2+8exx2+3e2xx2)log(3x)+(12x3e4x+4exx+3e2xx)log2(3x)+(4e4+e2x)log3(3x)dx
  3.34.79 e2ex2+x3log(ex2+2x)log(ex2+2x)(4ex24e2x2x+(4e2x2x+8ex2x2)log(ex2+2x)+(3ex2x2+6x3)log2(ex2+2x))(ex2+2x)log2(ex2+2x)dx
  3.34.80 6+ex4x6e1+x+e(1212x)dx
  3.34.81 (648+792x+242x2)log(x)+(396x+242x2)log2(x)+e2log2(log(x))(18log(x)+36log(x)log(log(x)))+elog2(log(x))((216132x)log(x)66xlog2(x)+(216132x)log(x)log(log(x)))9xdx
  3.34.82 exx+e12+4xx3(3+2x)x+2e12+3xx4+e24+6xx7dx
  3.34.83 (44e4+e8)log2(x)+(4+2e4)log2(x)log(4x2)+log2(x)log2(4x2)+e42+e4+log(4x2)(44e4+e8+(4+4e4e8)log(x)+(4+2e4+(42e4)log(x))log(4x2)+(1log(x))log2(4x2))(44e4+e8)log2(x)+(4+2e4)log2(x)log(4x2)+log2(x)log2(4x2)dx
  3.34.84 9e2e+15eex2+2x49e2e+6eex2+x4dx
  3.34.85 ex(16+24x+e4x+12x2+2x3+(820x18x27x3x4)log(7))8+12x+6x2+x3dx
  3.34.86 ee12xlog(x)+12xlog(x)(33log(x))6x2log2(x)8e4+e12xlog(x)x2log2(x)8e4x3log2(x)dx
  3.34.87 3+e4(94x2)15e4x4dx
  3.34.88 e8(16+320e4+4(40032x3+3x4)e8)24x2dx
  3.34.89 (80256e2192x)log(2)625x2+20480e6x2+1500x3+1200x4+320x5+e4(19200x2+15360x3)+e2(6000x2+9600x3+3840x4)dx
  3.34.90 ee5x(1x)+4x2+4exx22x2dx
  3.34.91 8e35+x+ee3(42+2ex2x)+e3/5(168+8x)+(4e3/5x4e35+xx+ee3(x+exx))log(x2)xdx
  3.34.92 12(360x296x356x6+9x2log(2))dx
  3.34.93 e2log2(x)(216+27x+90x3+216x427x512x772x8+9x96x11+8x12x13+(864108x72x3+864x4+108x5+48x7288x836x98x11+32x12+4x13)log(x))138245184x648x23483x3+12960x4+5130x5+360x6+2295x74032x81700x9120x10381x11+416x12+186x13+24x14+x15dx
  3.34.94 e1x+log2(60+20xx)(3xx2+6log(60+20xx))3x+x2dx
  3.34.95 6+2x8+6x+x2dx
  3.34.96 3+x4+xdx
  3.34.97 (2+e16x)dx
  3.34.98 e2+xdx
  3.34.99 ex(2ex+e(1x)2x)dx
  3.34.100 e2ex(4+12x24x3)+e6(12x24x3)+eex(4e3+xx+e3(4+24x28x3))e2ex(420x+49x264x3+46x412x5+x6)+e6(25x260x3+46x412x5+x6)+e3+ex(20x+74x2124x3+92x424x5+2x6)dx