3.73 Integrals 7201 to 7300

  3.73.1 5x(4+5x2)e4(16+20x2)+ex(4x+5x3)4x+5x3dx
  3.73.2 31259395x+1867x2+8632x36351x4+566x5+832x6304x7+32x8+(62503125x5625x2+4750x3200x4864x5+304x632x7)log(2+x)+(6250x9385x2+3749x3+1002x41200x5+336x632x7+(6250+9375x3750x21000x3+1200x4336x5+32x6)log(2+x))log(625x1001x2+600x3160x4+16x5+(625+1000x600x2+160x316x4)log(2+x)6251000x+600x2160x3+16x4)6250x2+9385x33749x41002x5+1200x6336x7+32x8+(6250x9375x2+3750x3+1000x41200x5+336x632x7)log(2+x)+(6250x9385x2+3749x3+1002x41200x5+336x632x7+(6250+9375x3750x21000x3+1200x4336x5+32x6)log(2+x))log(625x1001x2+600x3160x4+16x5+(625+1000x600x2+160x316x4)log(2+x)6251000x+600x2160x3+16x4)dx
  3.73.3 576x+(576576x)log(1+x)+(180x2+180x3)log2(1+x)2304+2304x+(1056x+384x2+1440x3)log(1+x)+(121x2209x3105x4+225x5)log2(1+x)dx
  3.73.4 e25x44(e6+25x4425x5+e6(125x4))2e12+4e6x+2x2dx
  3.73.5 4+ee8(44x2)+e2e8(1+6x28x3+3x4)x2dx
  3.73.6 13(6640x336x2+16x3+15x4+e8(96x+72x2+12x3))dx
  3.73.7 25x3+e250x225x325x2(425x3)25e250x225x325x2x3+25x4+225x3log(2)dx
  3.73.8 ex+x2128(1024x16x2)+128ex+x2128log(x)+ex+x2128(64x+x2)log2(x)64xdx
  3.73.9 815e4x/3dx
  3.73.10 5920x22x3+(40+4x)log(5)((180x+27x2)log(5)18log2(5))200x440x5+2x6+(800x2+160x38x4)log(5)+(800160x+8x2)log2(5)dx
  3.73.11 e2e3x2(54x104e3x2x3+(2x+4e3x2x3)log(x))17576+2028log(x)78log2(x)+log3(x)dx
  3.73.12 25922587x+1306x2+5x3+(1296+2592x)log(x2)5x2+10x3+5x4dx
  3.73.13 8+2x44x4log(x2)log(log(x2))+5xlog(x2)log2(log(x2))(4xx5)log(x2)log(log(x2))+5x2log(x2)log2(log(x2))dx
  3.73.14 ex2+3xlog(5)+3log(5)log(x)xlog(5)(72x2216log(5)+216log(5)log(x))(4x2log(5)+4ex2+3xlog(5)+3log(5)log(x)xlog(5)x2log(5)+(x2log(5)+ex2+3xlog(5)+3log(5)log(x)xlog(5)x2log(5))log(1+ex2+3xlog(5)+3log(5)log(x)xlog(5)))log3(4+log(1+ex2+3xlog(5)+3log(5)log(x)xlog(5)))dx
  3.73.15 10+13x+7x2+e(108x+2x22x3)+(23x2x2+e(2+2x))log(4)+(7x+4x2+x3+e(2x4x2)xlog(4))log(2x)200x80x272x3+16x4+8x5+(80x+16x2+16x3)log(4)+8xlog2(4)dx
  3.73.16 x7log9(x)+e1048576+(6291456x2097152x2)log(x)+(16515072x211010048x3+1835008x4)log2(x)+(24772608x324772608x4+8257536x5917504x6)log3(x)+(23224320x430965760x5+15482880x63440640x7+286720x8)log4(x)+(13934592x523224320x6+15482880x75160960x8+860160x957344x10)log5(x)+(5225472x610450944x7+8709120x83870720x9+967680x10129024x11+7168x12)log6(x)+(1119744x72612736x8+2612736x91451520x10+483840x1196768x12+10752x13512x14)log7(x)+(104977x8279936x9+326592x10217728x11+90720x1224192x13+4032x14384x15+16x16)log8(x)x7log8(x)(8388608+(734003244040192x+14680064x2)log(x)+(37748736x88604672x2+66060288x311010048x4)log2(x)+(82575360x279822848x3+118358016x441287680x5+4587520x6)log3(x)+(99090432x318579456x4+107347968x561014016x6+13762560x71146880x8)log4(x)+(69672960x4+20127744x5+54190080x646448640x7+15769600x82580480x9+172032x10)log5(x)+(27869184x5+12773376x6+20901888x722579200x8+9461760x92107392x10+258048x1114336x12)log6(x)+(5225472x61119744x7+11321856x810354176x9+4354560x10999936x11+132608x1210752x13+512x14)log7(x)+(2612736x8+5225472x94354560x10+1935360x11483840x12+64512x133584x14)log8(x)+(x7+104977x8559872x9+979776x10870912x11+453600x12145152x13+28224x143072x15+144x16)log9(x))x8log9(x)+e1048576+(6291456x2097152x2)log(x)+(16515072x211010048x3+1835008x4)log2(x)+(24772608x324772608x4+8257536x5917504x6)log3(x)+(23224320x430965760x5+15482880x63440640x7+286720x8)log4(x)+(13934592x523224320x6+15482880x75160960x8+860160x957344x10)log5(x)+(5225472x610450944x7+8709120x83870720x9+967680x10129024x11+7168x12)log6(x)+(1119744x72612736x8+2612736x91451520x10+483840x1196768x12+10752x13512x14)log7(x)+(104977x8279936x9+326592x10217728x11+90720x1224192x13+4032x14384x15+16x16)log8(x)x7log8(x)x8log9(x)dx
  3.73.17 (12x+e4+e2+ex+2xx2(12xexx+2x2))dx
  3.73.18 (66e4+18x)dx
  3.73.19 5+x+x2log(3x4)5log(3x4)log(log(3x4))x2log(3x4)dx
  3.73.20 14+4e3+4e4+ex(20+8e3+8e48x)+e2x(6+4e3+4e44x)4x+(2x+2e2xx)log(x)(x+2exx+e2xx)log3(x)dx
  3.73.21 12ee4(2x+ee4(3+11e11x36x2))dx
  3.73.22 e1282x+6x2x32+x2(20+160x+20x2+5x4)4+4x2+x4dx
  3.73.23 ee12(ee4x+2x)+12(ee4x+2x)(26+13e4+e4x)dx
  3.73.24 (2+4x+2log(x))dx
  3.73.25 128x8+log(24)xlog(24)dx
  3.73.26 4e2+4(81e25162x)e2xx+(324e25+4(81e25162x)e2x+12e2+3(81e25162x)e2xx2)log(x)+(12e2+2(81e25162x)e2xx3+e3(81e25162x)e2x(972e25x4e2x2))log2(x)+(4e2+81e25162xe2xx4+e2(81e25162x)e2x(972e25x2+12e2x3))log3(x)+e81e25162xe2x(324e25x312e2x4)log4(x)+4e2x5log5(x)e2x2log5(x)dx
  3.73.27 82x+((84x)log(x)log(1log(x))log(log(1log(x)))+(42x)log(3)log(x)log(1log(x))log2(log(1log(x))))log(2+log(3)log(log(1log(x)))log(log(1log(x))))2log(x)log(1log(x))log(log(1log(x)))+log(3)log(x)log(1log(x))log2(log(1log(x)))dx
  3.73.28 (9x2+2xlog(x)+2xlog2(x)exlog(1+log(4)))dx
  3.73.29 19272x+2x2+(3218x+x2)log(9x616384001843200x+620800x257600x3+1600x4)3218x+x2dx
  3.73.30 e(2500+250x400x2+50x3)log2(x)5x+(1875750x+75x2)log2(x)((5000015000x+7000x2+600x3200x4)log(x)+(2500x+8000x2700x3200x4)log2(x)+(4687500x3750000x2+1125000x3150000x4+7500x5)log4(x))25x+10x2+x3+(18750x+3750x2+750x3150x4)log2(x)+(3515625x2812500x2+843750x3112500x4+5625x5)log4(x)dx
  3.73.31 20+(7+4x2x2)log2(2)(12x+x2)log2(2)dx
  3.73.32 6+6x24x2+ee5x2+x2log(x)(4x3+e5x2+x2log(x)(9x3+9x4+(2x32x4)log(x)))+(6+12x+ee5x2+x2log(x)(x+2x2))log(6+ee5x2+x2log(x)xx)6x212x3+6x4+ee5x2+x2log(x)(x32x4+x5)dx
  3.73.33 ee1+8x2+2x3+x2log(2+x)x+1+8x2+2x3+x2log(2+x)x(2x16x2+x3+4x4+(2x2+x3)log(2+x))2x2+x3dx
  3.73.34 27+3e4x+18x+3x2+e(3x82x2)+e2x(18+6x+e(6x164x2))27x+756x2+495x3+82x4+e4x(3x+82x2)+e2x(18x+498x2+164x3)dx
  3.73.35 116ee116(80+18xe5xx2)x(16+e116(80+18xe5xx2)(18e52x))dx
  3.73.36 e2xx2+log(x)x(3+2xx2log(x))dx
  3.73.37 40+40x+6x2+18x3x5+(4x20x2+x4)log(x)+(88x4x3+4x2log(x))log(xlog(x))4x2+4xlog(x)dx
  3.73.38 x2+2xlog(25)log2(25)+(15x220xlog(25)+5log2(25))log(x)+(3x2+4xlog(25)log2(25))log(x)log(log(x))(25x3+10x2log(25)5xlog2(25))log(x)+(x32x2log(25)+xlog2(25))log(x)log(log(x))dx
  3.73.39 ee2(1x)xdx
  3.73.40 e22x+log(2x)(24x)log(log(2))4x3log(3)+4x2log(3)log(2x)+xlog(3)log2(2x)dx
  3.73.41 (50+e3x(1+x)+292x+381x2+140x3+15x4)dx
  3.73.42 e23x2e2x2dx
  3.73.43 46089216x4608x2+(384768x384x2)log(x)log(4x)+(384+768x+384x2)log2(4x)+(2x2x3+(32+64x+32x2)log(x))log3(4x)(x+2x2+x3)log3(4x)dx
  3.73.44 (13(20+4e2))1x2(log(x)x)1x2(1log(x)2log(x)log((20+4e2)log(x)3x))x3log(x)dx
  3.73.45 15310e2x10dx
  3.73.46 (8+36x16x2+8x336x4+16x5+(12+70x126x2+236x3290x4+110x5)log(x)+(18x144x2+376x3400x4+150x5)log2(x))dx
  3.73.47 2xx2+e4(15x2+3x3)3e4x2log(x)+(e4(36x6x2+6x3)+e4(6x3x2)log(x))log(2+x)2x+x2dx
  3.73.48 e102e5x+x2+(4e5x4x2)log3(x)+e5xlog4(x)e10x2e5x2+x3dx
  3.73.49 72+8x+(88x)log(1+x)(1+x)log2(1+x)dx
  3.73.50 18+9e4xx2+32x39x2dx
  3.73.51 (1+x)log(x)+(4x+(3x)log(x)+log2(x))log(4+xlog(x))(4x+log(x))log2(4+xlog(x))dx
  3.73.52 3e103x+ex(5x+5x2)3xdx
  3.73.53 13(4x+12x2+4x3+(8x+36x2+16x3)log(x))dx
  3.73.54 (7x+14e2xx)log(10x)+(7e2x7x+(7e2xx7x2)log(10x))log(e2x+x)3e3xx+3exx2dx
  3.73.55 2e3(1+x)225+25xdx
  3.73.56 225x+ex2(27+4x2)+27log(x)+(ex2x+log(x))log(e2x2+2ex2x+x2+(2ex22x)log(x)+log2(x)x2)ex2x2x3+x2log(x)dx
  3.73.57 24x2+24x2log(3)log(3)dx
  3.73.58 212+x(eee3+e6+x)12+x(e9+e3+e6+x+e6+x+x(2x)+log(2eee3+e6+x))44x+x2dx
  3.73.59 e2(2x2x32xlog(x2)log2(x2))x2(4x22x4+e4(4xx22x3)+(4x+4x2+e4(4+4x))log(x2)+(4e4+4x)log2(x2))x4dx
  3.73.60 e4+2e3x10x22x320x45x5+e2+e3(102x20x26x3)+(102x2e2+e3x20x26x3)log(2x)xlog2(2x)xdx
  3.73.61 256x3+3328x4+20736x5+82560x6+233984x7+497088x8+808320x9+996512x10+866544x11+356640x12369072x131002816x141296032x151207680x16884448x17523680x18252432x1998496x2030576x217312x221272x23144x248x25+(1792x322272x4132480x5502336x61352576x72718720x84151456x94734416x103653904x11952528x12+2287104x13+4629792x14+5263520x15+4403552x16+2894688x17+1525072x18+644016x19+214896x20+54960x21+10184x22+1224x23+72x24)log(5)+(5504x3+65408x4+371136x5+1337760x6+3411200x7+6457392x8+9198320x9+9595520x10+6366336x11+375072x125659552x139084192x149080256x156771984x163951792x171823216x18658768x19181272x2035960x214608x22288x23)log2(5)+(9728x3110592x4598176x52045488x64921888x78728272x811506656x910817504x105840736x11+1446496x12+7517632x13+9906576x14+8684032x15+5718832x16+2918160x17+1152200x18+343616x19+73416x20+10080x21+672x22)log3(5)+(10896x3+118608x4+611136x5+1978064x6+4472960x7+7384608x8+8921456x9+7401248x10+2904672x112422544x125968528x136586272x145036528x152889992x161261512x17411432x1895368x1914112x201008x21)log4(5)+(8016x383664x4410400x51254016x62651952x74045104x84421536x93134704x10636096x11+1765856x12+2948848x13+2752008x14+1818768x15+891296x16+321552x17+81592x18+13104x19+1008x20)log5(5)+(3872x3+38816x4+181152x5+520928x6+1024160x7+1429488x8+1389264x9+796656x1058512x11713944x12906808x13717024x14402976x15163240x1645864x178064x18672x19)log6(5)+(1184x311424x450688x5136656x6247904x7312624x8263376x9109016x10+63744x11+164344x12+166928x13+111048x14+51552x15+16280x16+3168x17+288x18)log7(5)+(208x3+1936x4+8160x5+20528x6+34024x7+38088x8+26720x9+5624x1012792x1120008x1216600x139096x143296x15720x1672x17)log8(5)+(16x3144x4576x51344x62008x71944x81056x9+96x10+864x11+992x12+672x13+288x14+72x15+8x16)log9(5)118x153x2816x33060x48568x518564x631824x743758x848620x943758x1031824x1118564x128568x133060x14816x15153x1618x17x18+(9+153x+1224x2+6120x3+21420x4+55692x5+111384x6+175032x7+218790x8+218790x9+175032x10+111384x11+55692x12+21420x13+6120x14+1224x15+153x16+9x17)log(5)+(36576x4320x220160x365520x4157248x5288288x6411840x7463320x8411840x9288288x10157248x1165520x1220160x134320x14576x1536x16)log2(5)+(84+1260x+8820x2+38220x3+114660x4+252252x5+420420x6+540540x7+540540x8+420420x9+252252x10+114660x11+38220x12+8820x13+1260x14+84x15)log3(5)+(1261764x11466x245864x3126126x4252252x5378378x6432432x7378378x8252252x9126126x1045864x1111466x121764x13126x14)log4(5)+(126+1638x+9828x2+36036x3+90090x4+162162x5+216216x6+216216x7+162162x8+90090x9+36036x10+9828x11+1638x12+126x13)log5(5)+(841008x5544x218480x341580x466528x577616x666528x741580x818480x95544x101008x1184x12)log6(5)+(36+396x+1980x2+5940x3+11880x4+16632x5+16632x6+11880x7+5940x8+1980x9+396x10+36x11)log7(5)+(990x405x21080x31890x42268x51890x61080x7405x890x99x10)log8(5)+(1+9x+36x2+84x3+126x4+126x5+84x6+36x7+9x8+x9)log9(5)dx
  3.73.62 69177612+5618340x172284x2+2352x312x4+ex(103766418+60706884x5387844x2+169344x32334x4+12x5)23059204x21872780x3+57233x4780x5+4x6+ex(23059204x44240826x2+3697736x3114074x4+1560x58x6)+e2x(5764801+22588608x+21191226x21824956x3+56841x4780x5+4x6)dx
  3.73.63 ex(4+2x)log(2+x)+(exx+ex(2+x)log(2+x))log(x2)+ex(2x2x3)log2(x2)+(ex(2+x)log(2+x)log(x2)+ex(2x2+x3)log2(x2))log(log(2+x)+x2log(x2)xlog(x2))+(ex(23x+x2)log(2+x)log(x2)+ex(2x23x3+x4)log2(x2))log(log(2+x)+x2log(x2)xlog(x2))log(xlog(log(2+x)+x2log(x2)xlog(x2)))((2x2+x3)log(2+x)log(x2)+(2x4+x5)log2(x2))log(log(2+x)+x2log(x2)xlog(x2))dx
  3.73.64 900e4501+2x14x+4x2dx
  3.73.65 9x+12x2+18x36x46x2log(x)+(24x212x412x2log(x)+(36x+18x3+18xlog(x))log(2+x2+log(x)))log(2x+3log(2+x2+log(x)))4x2x32xlog(x)+(6+3x2+3log(x))log(2+x2+log(x))dx
  3.73.66 2log(x)+(2+(2+x)log(x))log(x+9e8x)xlog(x)log(x+9e8x)dx
  3.73.67 60+108x+(12+240x)log(x)+(24x+48xlog(x))log(5x)16x2+(8x272x3)log(x)+(x218x3+81x4)log2(x)+(16x3log(x)+(4x3+36x4)log2(x))log(5x)+4x4log2(x)log2(5x)dx
  3.73.68 14e2x(15532x19x22x32x4+e5(510x+3x2+2x3))dx
  3.73.69 eex(54x+ex(2+27x2))16432x2+2916x4dx
  3.73.70 30x4+2x6+e1+x2x2(30+2x2)+(2e1+x2x2x4+2x6)log(5e1+x2x2+5x2)e1+x2x2x3+x5dx
  3.73.71 1+x+16x4+ex(2x2+x3)xdx
  3.73.72 ex(16+4x)+x1x(x2x3x2log(x))4exx+2x5+x4+1xdx
  3.73.73 ee1xx2+ee1x(50x2x2+e1x(25+x)+(e1x(25x)+50x+2x2)log(25+x))log(1log(25+x))(502x+(50+2x)log(25+x))log2(1log(25+x))dx
  3.73.74 exx+(3ex)log(25e215+5ex)3x2exx2+(3x+exx)log(25e215+5ex)dx
  3.73.75 e1x(4+4x+7x29x336x4+(4x2+4x3+9x49x5)log(3))36e1xx3log(49x2)+e1x(4x2+9x4)log2(49x2)4x2+9x4dx
  3.73.76 6+4x24x2+16x3(5+24x40x2+16x3+16x4)log(514x+12x2+8x314x+4x2)dx
  3.73.77 e84x(2e8+4xx4+e4(1520x24x4))2x4dx
  3.73.78 12501250exe3+2x+625x+e3x2+ex(625+2e3x)dx
  3.73.79 e73x2e3+xx2x2+(2x+e3+xx+x2)log(log(log(x)))(2+e3+x+x+(3+e3+x(22x)4x)log(x)log(log(x))+(2+2x+e3+x(1+x))log(x)log(log(x))log(log(log(x))))log(x)log(log(x))dx
  3.73.80 13572x+90x212x3x4+4x6+e2e2(153x2)+e2x(156x3x2+2x3)+ex(90+42x24x2+2x3+6x44x5)+ee2(90+24x18x24x3+4x4+ex(306x6x2+2x3))x6dx
  3.73.81 25+84x2+64x4+64x3(2516x2)25e450x2+32x4dx
  3.73.82 2592x2+144x3+576x5+e4(18+4x3)+e2(432x96x4)3e4x372e2x4+432x5dx
  3.73.83 e2x2(40008000x2)+ex2(2050x4100x3)125e3x2+75e2x2x+15ex2x2+x3dx
  3.73.84 2560000000061440000000x64511808000x238707027200x314515148160x43483642816x5522547200x644789760x71679616x8+(25600000000+61440000000x+64512000000x2+38707200000x3+14515200000x4+3483648000x5+522547200x6+44789760x7+1679616x8)log(3)25600000000+61439680000x+64511616001x2+38707027200x3+14515165440x4+3483645408x5+522547200x6+44789760x7+1679616x8+(51200000000122879680000x129023616000x277414227200x329030365440x46967293408x51045094400x689579520x73359232x8)log(3)+(25600000000+61440000000x+64512000000x2+38707200000x3+14515200000x4+3483648000x5+522547200x6+44789760x7+1679616x8)log2(3)dx
  3.73.85 ex(ex+eex(e15x2+e15+xx2)(2e15+xx3+e15(2x3x4))exlog(x))x2dx
  3.73.86 e8+12x+12log(x)3x2+3xlog(3)(4x+12x2+4log(3)+(24x12log(3))log(x))3x46x3log(3)+3x2log2(3)dx
  3.73.87 400x+(2800+e5(1200300x)+700x)log(4+x)+(1600+400x)log(4+x)log(log(4+x))(49005495x624x2+576x3+e10(900+225x)+e5(4200+1830x720x2))log(4+x)+(5600+e5(2400600x)2440x+960x2)log(4+x)log(log(4+x))+(1600+400x)log(4+x)log2(log(4+x))dx
  3.73.88 (150+300x+225x2+e3x2(75+900x+450x2))dx
  3.73.89 1+log(x)+(1+e14(1+8x)(12x))log2(x)log2(x)dx
  3.73.90 e5+3ee4+xx4x2(8x+ee4+x(3+3x))dx
  3.73.91 16x+4e4x+16x2+x3+e2x2e2x(16+x)+exe2x(52x+2x2+e4(4x+4e2x)+e2(16x4x2))e2x2e2xx2exe2xx2+x3dx
  3.73.92 e2ex2(2+2x4ex2x3+4ex2x2log(x))x4+3x3log(x)3x2log2(x)+xlog3(x)dx
  3.73.93 27x527x6+45x717x8+2x9+e2(48+48x16x216x3)+e(36x336x44x5+4x6)27x5+27x69x7+x8dx
  3.73.94 1683416e2+8x25+43+16e4+e2(3216x)+34(16+16e28x)16x+4x2dx
  3.73.95 3e6+8xxlog(94)3+4xlog(94)9+24x+16x2dx
  3.73.96 11+ex2(1+4x2)11x10648x2264e2x2x2+8e3x2x2+ex2(x+2904x2)dx
  3.73.97 64+e2(4040x)64x+56x264+25e4+e2(80140x)224x+196x2dx
  3.73.98 1+(3+2x)log(3e2)x+(43x+x2)log(3e2)dx
  3.73.99 2e9+xx2+(2xe9x)log(x)2x+x2+(2x+e9x)log(x)dx
  3.73.100 36+88x2+80x4+40x6+10x8+x10+(80+160x2+120x4+40x6+5x8)log(x)+(80+120x2+60x4+10x6)log2(x)+(40+40x2+10x4)log3(x)+(10+5x2)log4(x)+log5(x)98x241x3240x5120x730x93x11+(209x400x3280x580x75x9+x11)log(x)+(160x200x360x5+10x7+5x9)log2(x)+(40x+30x5+10x7)log3(x)+(10x+25x3+10x5)log4(x)+(7x+5x3)log5(x)+xlog6(x)dx