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3.15
Integrals 1401 to 1500
3.15.1
\(\int x^{-2 x} (-225-50 x+x^{2 x} (75-e^x+30 x+3 x^2)+(-250-50 x) \log (x)+x^x (-150-80 x-10 x^2+(-250-100 x-10 x^2) \log (x))) \, dx\) [1401]
3.15.2
\(\int \genfrac {}{}{}{}{e^{2 e^4} (36-24 e^{2 x}+4 e^{4 x})+36 x^2+3 x^3+(72 x+6 x^2) \log (3)+36 \log ^2(3)+e^{2 x} (-24 x^2-x^3+2 x^4+(-48 x-2 x^2+2 x^3) \log (3)-24 \log ^2(3))+e^{4 x} (4 x^2+8 x \log (3)+4 \log ^2(3))+e^{e^4} (-72 x-6 x^2+e^{4 x} (-8 x-8 \log (3))-72 \log (3)+e^{2 x} (48 x+2 x^2-2 x^3+48 \log (3)))}{9 x^3+e^{2 e^4} (9 x-6 e^{2 x} x+e^{4 x} x)+18 x^2 \log (3)+9 x \log ^2(3)+e^{2 x} (-6 x^3-12 x^2 \log (3)-6 x \log ^2(3))+e^{4 x} (x^3+2 x^2 \log (3)+x \log ^2(3))+e^{e^4} (-18 x^2-18 x \log (3)+e^{4 x} (-2 x^2-2 x \log (3))+e^{2 x} (12 x^2+12 x \log (3)))} \, dx\) [1402]
3.15.3
\(\int \genfrac {}{}{}{}{-50 x+e^{\genfrac {}{}{}{}{9+12 x+4 x^2}{x^2}} (-360-240 x+e^5 (72+48 x))}{x^3} \, dx\) [1403]
3.15.4
\(\int \genfrac {}{}{}{}{-4 x+6 x^2-2 x^3+e^{x^2} (-2+x) (-1+5 x-6 x^2+2 x^3)+(-4 x+2 x^2) \log (-1+x)+(2-3 x+x^2) \log ^2(-1+x)}{2-3 x+x^2} \, dx\) [1404]
3.15.5
\(\int \genfrac {}{}{}{}{-32+16 x+30 x^2-16 x^3+2 x^4+(64-16 x) \log (x^2)+(-16+8 x) \log ^2(x^2)}{16 x^2-8 x^3+x^4} \, dx\) [1405]
3.15.6
\(\int \genfrac {}{}{}{}{3-2 e^{x/3} x}{3 x} \, dx\) [1406]
3.15.7
\(\int e^{-x+2 e^{-x} (-x+e^x (x+781250 x^2 \log (4)))} (-2+2 x+e^x (2+3125000 x \log (4))) \, dx\) [1407]
3.15.8
\(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{x}{\log (\genfrac {}{}{}{}{3}{4} \log (\genfrac {}{}{}{}{x}{2}))})^{\genfrac {}{}{}{}{1}{-1+e^2}} (-1+\log (\genfrac {}{}{}{}{x}{2}) \log (\genfrac {}{}{}{}{3}{4} \log (\genfrac {}{}{}{}{x}{2})))}{(-x+e^2 x) \log (\genfrac {}{}{}{}{x}{2}) \log (\genfrac {}{}{}{}{3}{4} \log (\genfrac {}{}{}{}{x}{2}))} \, dx\) [1408]
3.15.9
\(\int e^{-320-340 x-20 x^2+e^{1+x} (80 x+85 x^2+5 x^3)} (-340-40 x+e^{1+x} (80+250 x+100 x^2+5 x^3)) \, dx\) [1409]
3.15.10
\(\int \genfrac {}{}{}{}{3-x^2+(-2 x^2+e^x (2+2 x)) \log (x)+(e^x (1+x)+e^x (2 x+x^2) \log (x)) \log (x^2)}{x} \, dx\) [1410]
3.15.11
\(\int \genfrac {}{}{}{}{15+27 x+12 x^2-3 x^3-3 x^4+(27 x+24 x^2-9 x^3-12 x^4) \log (x)+(25 x+40 x^2+16 x^3-10 x^4-8 x^5+x^7) \log ^2(x)}{(-15 x-27 x^2-12 x^3+3 x^4+3 x^5) \log (x)+(475 x+1735 x^2+2364 x^3+1234 x^4-222 x^5-512 x^6-141 x^7+39 x^8+20 x^9) \log ^2(x)} \, dx\) [1411]
3.15.12
\(\int \genfrac {}{}{}{}{e^{-e^2 x+e^2 \log ^2(x)} (-3 e-3 e^3 x+6 e^3 \log (x))}{4 x^2} \, dx\) [1412]
3.15.13
\(\int \genfrac {}{}{}{}{4+4 x+(-4-6 x) \log (x)+(-2-2 x) \log (x) \log (1+x)+(-2-2 x) \log (x) \log (\genfrac {}{}{}{}{x^2}{\log ^2(x)})}{(x^3+x^4) \log (x) \log ^3(1+x)+(3 x^3+3 x^4) \log (x) \log ^2(1+x) \log (\genfrac {}{}{}{}{x^2}{\log ^2(x)})+(3 x^3+3 x^4) \log (x) \log (1+x) \log ^2(\genfrac {}{}{}{}{x^2}{\log ^2(x)})+(x^3+x^4) \log (x) \log ^3(\genfrac {}{}{}{}{x^2}{\log ^2(x)})} \, dx\) [1413]
3.15.14
\(\int \genfrac {}{}{}{}{3 x-6 x^2+57 x^3-108 x^4+54 x^5+e^{-\genfrac {}{}{}{}{2}{-3 x+3 x^2}} (-2+4 x)+e^{-\genfrac {}{}{}{}{1}{-3 x+3 x^2}} (-6 x+30 x^2-36 x^3+18 x^4)}{3 x^2-6 x^3+3 x^4} \, dx\) [1414]
3.15.15
\(\int (15-6 x+e^x (-5-3 x+x^2)) \, dx\) [1415]
3.15.16
\(\int \genfrac {}{}{}{}{e^{-x} (e^x (84+132 x-108 x^2-72 x^3)+e^{2+e^{e^{2-x}}+e^{2-x}} (81-81 x-54 x^2+51 x^3+18 x^4-9 x^5-3 x^6))}{-27+27 x+18 x^2-17 x^3-6 x^4+3 x^5+x^6} \, dx\) [1416]
3.15.17
\(\int \genfrac {}{}{}{}{1}{32} e^{\genfrac {}{}{}{}{1}{32} (-16+x+16 \log (3))} \, dx\) [1417]
3.15.18
\(\int \genfrac {}{}{}{}{e^{-4+2 x} (4-x^2)^2 (4000-4300 x+200 x^2+350 x^3-50 x^4+\genfrac {}{}{}{}{e^{4-2 x} (324-81 x^2)}{(4-x^2)^2})}{-324+81 x^2} \, dx\) [1418]
3.15.19
\(\int \genfrac {}{}{}{}{3 x+2 x^2+(-18+6 x) \log (\genfrac {}{}{}{}{1}{x})}{9 x} \, dx\) [1419]
3.15.20
\(\int \genfrac {}{}{}{}{-10-2 x+2 x \log (x)+32 e^{e^{16 x^2}+16 x^2} x^2 \log ^2(x)+(-2+6 x+2 x^2) \log ^2(x)}{x \log ^2(x)} \, dx\) [1420]
3.15.21
\(\int \genfrac {}{}{}{}{-1+x-2 x^2+x^3+e^x (-2+16 e^2 x^3)+(1-3 x+x^2+e^x (2+32 e^2 x^2)) \log (x)+16 e^{2+x} x \log ^2(x)}{4 e^{2+x} x^2+8 e^{2+x} x \log (x)+4 e^{2+x} \log ^2(x)} \, dx\) [1421]
3.15.22
\(\int \genfrac {}{}{}{}{2+e^{2+e^{e^{e^x}-x} (-4+x)-x} (-16+8 x-x^2+e^{e^{e^x}-x} (80-56 x+13 x^2-x^3+e^{e^x+x} (-64+48 x-12 x^2+x^3)))}{16-8 x+x^2} \, dx\) [1422]
3.15.23
\(\int (-4 x-4 x^3+\log (3)) \, dx\) [1423]
3.15.24
\(\int \genfrac {}{}{}{}{1}{25} e^{\genfrac {}{}{}{}{1}{25} (x^3+x^2 \log (3)-25 x^2 \log (5 x))} (-25 x+3 x^2+2 x \log (3)-50 x \log (5 x)) \, dx\) [1424]
3.15.25
\(\int \genfrac {}{}{}{}{2-4 x+x^2}{x-x^2+(-x+x^2) \log (4)} \, dx\) [1425]
3.15.26
\(\int (2-2 e^{32+4 e^2-2 x}+2 x+2 e^{16+2 e^2-x} x) \, dx\) [1426]
3.15.27
\(\int \genfrac {}{}{}{}{1}{144} e^{\genfrac {}{}{}{}{1}{36} (17 e^{x/4}-17 x+e^x (-9 e^{x/4}+9 x))} (-68+17 e^{x/4}+e^x (36-45 e^{x/4}+36 x)) \, dx\) [1427]
3.15.28
\(\int \genfrac {}{}{}{}{200+150 x-75 e x-100 x^2+e^{18-12 e^x+2 e^{2 x}} (8+6 x-3 e x-4 x^2+e^x (48 x+24 x^2-12 e x^2-12 x^3)+e^{2 x} (-16 x-8 x^2+4 e x^2+4 x^3))+e^{9-6 e^x+e^{2 x}} (-80-60 x+30 e x+40 x^2+e^{2 x} (80 x+40 x^2-20 e x^2-20 x^3)+e^x (-240 x-120 x^2+60 e x^2+60 x^3))}{16 x^3+16 x^4-4 x^5+e^2 x^5-4 x^6+x^7+e (-8 x^4-4 x^5+2 x^6)} \, dx\) [1428]
3.15.29
\(\int \genfrac {}{}{}{}{30 x+10 x^2+(384+544 x+264 x^2+54 x^3+4 x^4) \log (3 x+x^2)}{-60 x-35 x^2-5 x^3+(192 x+208 x^2+84 x^3+15 x^4+x^5) \log ^2(3 x+x^2)} \, dx\) [1429]
3.15.30
\(\int \genfrac {}{}{}{}{2 x}{\log ^2(7+6 \log (9+\log (5))+\log ^2(9+\log (5)))} \, dx\) [1430]
3.15.31
\(\int (-1-2 x+e^x (1+3 x+x^2)) \, dx\) [1431]
3.15.32
\(\int \genfrac {}{}{}{}{-81-54 x^3+5184 e^{e^x+x} x^5+108 x^6+120 x^9+32 x^{12}}{5184 x^5} \, dx\) [1432]
3.15.33
\(\int \genfrac {}{}{}{}{-e^{e^{4-x}}+e^{4+e^{4-x}-x} x \log (x) \log ((-20+5 e^2+5 \log (5)) \log (x))}{x \log (x)} \, dx\) [1433]
3.15.34
\(\int \genfrac {}{}{}{}{798-479 x+80 x^2-4 x^3}{399 x-80 x^2+4 x^3} \, dx\) [1434]
3.15.35
\(\int \genfrac {}{}{}{}{-75 e^{4 x} x-150 e^{4 x} x \log (x)+(6 e^{4 x} x^2+e^{2 x} (-18 x-18 x^2)) \log ^2(x)}{1250 e^{4 x}+(300 e^{2 x}-200 e^{4 x} x) \log (x)+(18-24 e^{2 x} x+8 e^{4 x} x^2) \log ^2(x)} \, dx\) [1435]
3.15.36
\(\int \genfrac {}{}{}{}{-3-96 x^2-24 x^3-720 x^4-288 x^5+2880 x^7+7488 x^8+21120 x^9+23040 x^{10}+7680 x^{11}+768 x^{12}+e^{2 x} (64 x^8+64 x^9)+e^x (16 x^4-8 x^5-256 x^7-1216 x^8-2880 x^9-1280 x^{10}-128 x^{11})}{32 x^7} \, dx\) [1436]
3.15.37
\(\int \genfrac {}{}{}{}{-2 e^{2+\genfrac {}{}{}{}{2 e^2}{x}} \log (5)+e^{2 x} (2 x^3+2 x^4) \log (5)+e^x (4 x^3+8 x^4+2 x^5+e^3 (2 x^2+2 x^3)) \log (5)+(2 x^3+6 x^4+4 x^5+e^3 (2 x^2+4 x^3)) \log (5)+e^{\genfrac {}{}{}{}{e^2}{x}} (e^x (-2 e^2 x+2 x^2+2 x^3) \log (5)+(-2 e^5+2 x^2+4 x^3+e^2 (-2 x-2 x^2)) \log (5))}{x^2} \, dx\) [1437]
3.15.38
\(\int \genfrac {}{}{}{}{250000-45000 x^5-187500 x^6+e^{5 x} (-1562500 x^3+1171875 x^9)+e^{5 x} (-187500 x^2+140625 x^8) \log (-4+3 x^6)+e^{5 x} (-7500 x+5625 x^7) \log ^2(-4+3 x^6)+e^{5 x} (-100+75 x^6) \log ^3(-4+3 x^6)}{-62500 x^3+46875 x^9+(-7500 x^2+5625 x^8) \log (-4+3 x^6)+(-300 x+225 x^7) \log ^2(-4+3 x^6)+(-4+3 x^6) \log ^3(-4+3 x^6)} \, dx\) [1438]
3.15.39
\(\int \genfrac {}{}{}{}{e^{(4 x^4-4 x^5+x^6) \log ^2(x)} ((32 x^3-24 x^4+2 x^6) \log (x)+(64 x^3-64 x^4+4 x^5+6 x^6) \log ^2(x))+(-4-2 e^{(4 x^4-4 x^5+x^6) \log ^2(x)}-2 \log (4)) \log (2+e^{(4 x^4-4 x^5+x^6) \log ^2(x)}+\log (4))}{128+96 x+24 x^2+2 x^3+e^{(4 x^4-4 x^5+x^6) \log ^2(x)} (64+48 x+12 x^2+x^3)+(64+48 x+12 x^2+x^3) \log (4)} \, dx\) [1439]
3.15.40
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{8-3 x+e^2 x}{x}} (e^2 x-x^2)+e^{\genfrac {}{}{}{}{8-3 x+e^2 x}{x}} (e^2 (-8-3 x)+8 x+4 x^2) \log (x)}{e^4 x^5-2 e^2 x^6+x^7} \, dx\) [1440]
3.15.41
\(\int \genfrac {}{}{}{}{x^3 \log ^3(x)+e^{\genfrac {}{}{}{}{144+(-120-120 x+24 \log (3)) \log (x)+(25+50 x+25 x^2+(-10-10 x) \log (3)+\log ^2(3)) \log ^2(x)}{x^2 \log ^2(x)}} (-288+(-168+120 x-24 \log (3)) \log (x)+(240+120 x-48 \log (3)) \log ^2(x)+(-50-50 x+(20+10 x) \log (3)-2 \log ^2(3)) \log ^3(x))}{x^3 \log ^3(x)} \, dx\) [1441]
3.15.42
\(\int e^{\genfrac {}{}{}{}{127-250 x+125 x^2+5 \log (2)+(25-50 x+25 x^2+\log (2)) \log (3) \log ^2(4)}{5+\log (3) \log ^2(4)}} (-50+50 x) \, dx\) [1442]
3.15.43
\(\int \genfrac {}{}{}{}{1}{20} (20-160 e^{4 x^2} x+e^{e^x} (-1-e^x x)) \, dx\) [1443]
3.15.44
\(\int \genfrac {}{}{}{}{2 \log (2)+(4+8 x+4 x^2-2 \log (2)) \log (x)+(8+8 x-2 \log (2)) \log (x) \log (\log (x))+4 \log (x) \log ^2(\log (x))}{(1+2 x+x^2) \log (x)+(2+2 x) \log (x) \log (\log (x))+\log (x) \log ^2(\log (x))} \, dx\) [1444]
3.15.45
\(\int \genfrac {}{}{}{}{-1-2 x-4 x^2+(-1-4 x) \log (x)}{2 e^{4 x} x^4+4 e^{4 x} x^3 \log (x)+2 e^{4 x} x^2 \log ^2(x)} \, dx\) [1445]
3.15.46
\(\int \genfrac {}{}{}{}{-1-11 x-5 e^5 x+5 x^2+5 x \log (\genfrac {}{}{}{}{3 x}{2})}{-10 x-5 e^5 x+5 x^2+5 x \log (\genfrac {}{}{}{}{3 x}{2})} \, dx\) [1446]
3.15.47
\(\int \genfrac {}{}{}{}{e^{-2 x} \log (x) (-128 \log (x)+(64+(-64-64 x) \log (x)) \log (\genfrac {}{}{}{}{x^2}{4}))}{3 x^3 \log ^3(\genfrac {}{}{}{}{x^2}{4})} \, dx\) [1447]
3.15.48
\(\int \genfrac {}{}{}{}{(-2+(2-6 x^2) \log (x)-4 x^2 \log ^2(x)) \log (\genfrac {}{}{}{}{4 e^{-x^2-x^2 \log (x)} x}{5 \log (x)})}{x \log (x)} \, dx\) [1448]
3.15.49
\(\int \genfrac {}{}{}{}{-4 x+(4-2 e^2) \log (x)}{x} \, dx\) [1449]
3.15.50
\(\int \genfrac {}{}{}{}{12 e^3+x^2 \log (2)}{x^2 \log (2)} \, dx\) [1450]
3.15.51
\(\int \genfrac {}{}{}{}{e^x (-10+5 e^{-x^2})+5 x+e^x (-10 x+e^{-x^2} (5 x-10 x^2)) \log (x)}{x} \, dx\) [1451]
3.15.52
\(\int \genfrac {}{}{}{}{-2+(-1+3 \log (x)) \log (x^2)+\log (x^2) \log (\log (x^2))}{(2 x+3 x \log (x)) \log (x^2)+x \log (x^2) \log (\log (x^2))} \, dx\) [1452]
3.15.53
\(\int \genfrac {}{}{}{}{-9+8 x+4 x^3-4 x^4+x^5+(4+x+x^2-x^3) \log (4+x+x^2-x^3)}{4-3 x+4 x^2-x^3+2 x^4-x^5+(-4-x-x^2+x^3) \log (4+x+x^2-x^3)} \, dx\) [1453]
3.15.54
\(\int \genfrac {}{}{}{}{-20-10 x+e^x (-15 x-5 x^2)-5 e^x x \log (20 x^2)}{27 x+9 x^2+e^x (-18 x-6 x^2)+e^{2 x} (3 x+x^2)+(9 x-6 e^x x+e^{2 x} x) \log (20 x^2)+(-18 x-6 x^2+e^x (6 x+2 x^2)+(-6 x+2 e^x x) \log (20 x^2)) \log (9+6 x+x^2+(6+2 x) \log (20 x^2)+\log ^2(20 x^2))+(3 x+x^2+x \log (20 x^2)) \log ^2(9+6 x+x^2+(6+2 x) \log (20 x^2)+\log ^2(20 x^2))} \, dx\) [1454]
3.15.55
\(\int \genfrac {}{}{}{}{-2+e^2+(-4-e^4+e^2 (4-4 x)+8 x-4 x^2) \log (4)}{(4+e^4-8 x+4 x^2+e^2 (-4+4 x)) \log (4)} \, dx\) [1455]
3.15.56
\(\int \genfrac {}{}{}{}{-24-6 x-48 x^3-3 x^4+e (-45-90 x^3)}{e (1-2 x^3+x^6)} \, dx\) [1456]
3.15.57
\(\int \genfrac {}{}{}{}{1}{625} e^{\genfrac {}{}{}{}{1}{625} (625-450 x+81 x^2)} (-450+162 x) \, dx\) [1457]
3.15.58
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{17-34 x^2+17 e^8 x^2+32 x^3-15 x^4-32 x^5+48 x^6-32 x^7+16 x^8+e^4 (34 x-34 x^3+32 x^4-32 x^5)+e^{2 x} (1-2 x^2+e^8 x^2+x^4+e^4 (2 x-2 x^3))+e^x (8-16 x^2+8 e^8 x^2+8 x^3-8 x^5+8 x^6+e^4 (16 x-16 x^3+8 x^4-8 x^5))}{1-2 x^2+e^8 x^2+x^4+e^4 (2 x-2 x^3)}} (96 x^2-128 x^3-128 x^4+288 x^5-192 x^6+32 x^7+96 x^8-64 x^9+e^8 (64 x^4-96 x^5)+e^4 (160 x^3-224 x^4-96 x^5+224 x^6-160 x^7+96 x^8)+e^{2 x} (2-6 x^2+2 e^{12} x^3+6 x^4-2 x^6+e^8 (6 x^2-6 x^4)+e^4 (6 x-12 x^3+6 x^5))+e^x (8-24 x^3+8 e^{12} x^3-16 x^4+32 x^5+16 x^6-8 x^7-8 x^8+e^8 (24 x^2-8 x^4-16 x^5-8 x^6)+e^4 (24 x-8 x^3-40 x^4-16 x^5+24 x^6+16 x^7)))}{1-3 x^2+e^{12} x^3+3 x^4-x^6+e^8 (3 x^2-3 x^4)+e^4 (3 x-6 x^3+3 x^5)} \, dx\) [1458]
3.15.59
\(\int \genfrac {}{}{}{}{(15 e^3-30 x) \log (-\genfrac {}{}{}{}{5}{e^3-2 x})+(30 x+(-15 e^3+30 x) \log (-\genfrac {}{}{}{}{5}{e^3-2 x})) \log (x)}{4 e^3 x^2-8 x^3} \, dx\) [1459]
3.15.60
\(\int \genfrac {}{}{}{}{(-3+3 \log (x)) (i \pi +\log (\log (1+5 \log (4))))}{\log ^2(x)} \, dx\) [1460]
3.15.61
\(\int \genfrac {}{}{}{}{e^{-e^x x+3 e^{x+\genfrac {}{}{}{}{4 x}{(-25+10 x) \log (x)}} x} (e^x (-125-25 x+80 x^2-20 x^3) \log ^2(x)+e^{\genfrac {}{}{}{}{4 x}{(-25+10 x) \log (x)}} (e^x (60 x-24 x^2)-60 e^x x \log (x)+e^x (375+75 x-240 x^2+60 x^3) \log ^2(x)))}{(125-100 x+20 x^2) \log ^2(x)} \, dx\) [1461]
3.15.62
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-100-e^{225 x/8}+20 x^2+x^3-x^4+e^{225 x/16} (-20+2 x^2)}{x^2}} (1600+e^{225 x/8} (16-225 x)+8 x^3-16 x^4+e^{225 x/16} (320-2250 x+225 x^3))}{8 x^3} \, dx\) [1462]
3.15.63
\(\int \genfrac {}{}{}{}{19+52 x+73 x^2+58 x^3+28 x^4+8 x^5+x^6+e^x (25+60 x+76 x^2+58 x^3+28 x^4+8 x^5+x^6)}{25+60 x+76 x^2+58 x^3+28 x^4+8 x^5+x^6} \, dx\) [1463]
3.15.64
\(\int \genfrac {}{}{}{}{2+x+6 \log (\genfrac {}{}{}{}{x^3}{e^2})}{x} \, dx\) [1464]
3.15.65
\(\int \genfrac {}{}{}{}{1-\log (x)-2 \log (x) \log (\genfrac {}{}{}{}{\log (x)}{x})}{x \log (x) \log (\genfrac {}{}{}{}{\log (x)}{x})} \, dx\) [1465]
3.15.66
\(\int \genfrac {}{}{}{}{x+2 x^2+(1+10 x+2 x \log (x)) \log (\log (2))}{x^2+(5 x+x \log (x)) \log (\log (2))} \, dx\) [1466]
3.15.67
\(\int \genfrac {}{}{}{}{-250 e^4 x+500 e^4 x \log (x)-500 e^4 x \log ^2(x)+(25 e^7+250 e^4 x) \log ^3(x)}{\log ^3(x)} \, dx\) [1467]
3.15.68
\(\int \genfrac {}{}{}{}{-9-18 x+e^{x^2} (1+2 x-8 x^2-2 x^3-2 x^4)+(-36-9 x-9 x^2+e^{x^2} (4+x+x^2)) \log (\genfrac {}{}{}{}{2}{-9+e^{x^2}})}{-36-9 x-9 x^2+e^{x^2} (4+x+x^2)} \, dx\) [1468]
3.15.69
\(\int \genfrac {}{}{}{}{12 x+16 x^2+(-14 x-8 x^2) \log (x)+(3 x+10 x^2+8 x^3) \log ^3(x)+(12+16 x) \log (3+4 x)}{(3 x+4 x^2) \log ^3(x)} \, dx\) [1469]
3.15.70
\(\int \genfrac {}{}{}{}{25 e^4+e^{4+x} (5-5 x)}{(25+e^{2 x}+15 x+2 x^2+e^x (10+3 x)) \log ^2(\genfrac {}{}{}{}{10+2 e^x+2 x}{5+e^x+2 x})} \, dx\) [1470]
3.15.71
\(\int (-1+e^{x-x^4 \log (x)} (-24-4 x+7 x^2-x^3+24 x^4-10 x^5+x^6+(96 x^4-40 x^5+4 x^6) \log (x))) \, dx\) [1471]
3.15.72
\(\int \genfrac {}{}{}{}{(4 x^3+(32 x^3-4 x^3 \log (x)) \log (16-2 \log (x))+(-16+18 \log (x)-2 \log ^2(x)) \log ^3(16-2 \log (x))) \log (\genfrac {}{}{}{}{x^3+(-x-\log (x)) \log ^2(16-2 \log (x))}{x \log ^2(16-2 \log (x))})}{(8 x^4-x^4 \log (x)) \log (16-2 \log (x))+(-8 x^2+(-8 x+x^2) \log (x)+x \log ^2(x)) \log ^3(16-2 \log (x))} \, dx\) [1472]
3.15.73
\(\int (1+e^x (2+x)) \, dx\) [1473]
3.15.74
\(\int -\genfrac {}{}{}{}{8}{(1620+144 x+180 \log (2)) \log (\genfrac {}{}{}{}{1}{5} (45+4 x+5 \log (2))) \log (\log (\genfrac {}{}{}{}{1}{5} (45+4 x+5 \log (2))))+(540+48 x+60 \log (2)) \log (\genfrac {}{}{}{}{1}{5} (45+4 x+5 \log (2))) \log (\log (\genfrac {}{}{}{}{1}{5} (45+4 x+5 \log (2)))) \log (\log (\log (\genfrac {}{}{}{}{1}{5} (45+4 x+5 \log (2)))))+(45+4 x+5 \log (2)) \log (\genfrac {}{}{}{}{1}{5} (45+4 x+5 \log (2))) \log (\log (\genfrac {}{}{}{}{1}{5} (45+4 x+5 \log (2)))) \log ^2(\log (\log (\genfrac {}{}{}{}{1}{5} (45+4 x+5 \log (2)))))} \, dx\) [1474]
3.15.75
\(\int \genfrac {}{}{}{}{1}{10} e^{-e^{1-x}} (1+e^{1-x} (1+x)) \, dx\) [1475]
3.15.76
\(\int \genfrac {}{}{}{}{e^{-4+\genfrac {}{}{}{}{-2 x+e^4 \log (x+x^2) \log (\log (x))}{e^4 \log (x+x^2)}} ((12 x+24 x^2) \log (x)+(-12 x-12 x^2) \log (x) \log (x+x^2)+e^4 (6+6 x) \log ^2(x+x^2))}{(x+x^2) \log (x) \log ^2(x+x^2)} \, dx\) [1476]
3.15.77
\(\int (-1+e^{-2 e^{\genfrac {}{}{}{}{625+x \log (2)}{x}} x^2+2 x^3} (e^{\genfrac {}{}{}{}{625+x \log (2)}{x}} (1250-4 x)+6 x^2)) \, dx\) [1477]
3.15.78
\(\int \genfrac {}{}{}{}{5+10 x^3+5 e^x x^3+2 e^3 x^4-10 \log (x)}{5 x^3} \, dx\) [1478]
3.15.79
\(\int \genfrac {}{}{}{}{e^{-x+e^{e^x} x} (-4 x+e^{e^x} (4 x+4 e^x x^2))+(-4+4 e^{-x+e^{e^x} x}) \log (-1+e^{-x+e^{e^x} x})}{-1+e^{-x+e^{e^x} x}} \, dx\) [1479]
3.15.80
\(\int \genfrac {}{}{}{}{(-x^3-x^4) \log (x)+(5 x^2+6 x^3+x^4+(5 x^2+6 x^3+x^4) \log (x)) \log (5+x)+(-500-600 x-100 x^2) \log ^2(5+x)+((5 x^2+11 x^3+2 x^4) \log (x) \log (5+x)+(500+1225 x+475 x^2+50 x^3) \log ^2(5+x)) \log (\genfrac {}{}{}{}{x^2 \log (x)+(100+25 x) \log (5+x)}{25 x \log (5+x)})}{(5 x^2+x^3) \log (x) \log (5+x)+(500+225 x+25 x^2) \log ^2(5+x)} \, dx\) [1480]
3.15.81
\(\int \genfrac {}{}{}{}{e^{x+2 e^8 x^2} (-5+5 x)+e^{x+e^8 x^2} (2 x-x^2-2 e^8 x^3)}{25 e^{3+2 e^8 x^2} x^2-10 e^{3+e^8 x^2} x^3+e^3 x^4} \, dx\) [1481]
3.15.82
\(\int \genfrac {}{}{}{}{-2 x^2+3 x^3+3 x^5+e^x (2 x-3 x^3-4 x^4+x^5)+(3 x^2+e^x (-2 x-x^2)) \log (x)}{108 x^3-108 x^5+36 x^7-4 x^9+(108 x^2-72 x^4+12 x^6) \log (x)+(36 x-12 x^3) \log ^2(x)+4 \log ^3(x)} \, dx\) [1482]
3.15.83
\(\int \genfrac {}{}{}{}{e^{1+6 x} (30 e^{8-2 x}-20 e^{4-x})}{16+25 e^{8-2 x}-40 e^{4-x}} \, dx\) [1483]
3.15.84
\(\int e^{-10-x^2} (e^{4+x^2} (-e^6-e^{6+x})-2 x \log (4)) \, dx\) [1484]
3.15.85
\(\int e^{e^{e^{2-e^{-4+x}+x} (-15-15 x)-2 x-3 x^2+e^5 (3+3 x)}+e^{2-e^{-4+x}+x} (-15-15 x)-2 x-3 x^2+e^5 (3+3 x)} (-2+3 e^5-6 x+e^{2-e^{-4+x}+x} (-30-15 x+e^{-4+x} (15+15 x))) \, dx\) [1485]
3.15.86
\(\int \genfrac {}{}{}{}{6+13 x+6 x^2+x^3+e (2+x)+(-2 x^2-x^3) \log (\genfrac {}{}{}{}{e^{e^4}}{x})}{2 x^2+x^3} \, dx\) [1486]
3.15.87
\(\int \genfrac {}{}{}{}{e^{5-2 e^4+6 x} (-1+6 x)+e^2 \log (2)}{e^{6-4 e^4+12 x}+x^2+e^{3-2 e^4+6 x} (-2 x-2 \log (2))+2 x \log (2)+\log ^2(2)} \, dx\) [1487]
3.15.88
\(\int (-1+5^{-x} (3 x-4 x \log (5)+x \log ^2(5))^x (1+x+x \log (\genfrac {}{}{}{}{1}{5} (3 x-4 x \log (5)+x \log ^2(5))))) \, dx\) [1488]
3.15.89
\(\int \genfrac {}{}{}{}{e^{e^{\genfrac {}{}{}{}{x^4-6 x^2 \log (x)+9 \log ^2(x)}{x^2}}} (3 x^2+9 x^4+e^{\genfrac {}{}{}{}{x^4-6 x^2 \log (x)+9 \log ^2(x)}{x^2}} (-18 x^2+60 x^4-18 x^6+(54-162 x^2) \log (x)+(-54+162 x^2) \log ^2(x)))}{x^2-6 x^4+9 x^6} \, dx\) [1489]
3.15.90
\(\int \genfrac {}{}{}{}{-2+3 e^{4/5}}{3+3 e^{4/5}} \, dx\) [1490]
3.15.91
\(\int \genfrac {}{}{}{}{-e^3-x^2-16 x^3+3 x^4+x^2 \log (\log (3))}{e^3 x-x^2-x^3-8 x^4+x^5+x^3 \log (\log (3))} \, dx\) [1491]
3.15.92
\(\int \genfrac {}{}{}{}{2 \log (\genfrac {}{}{}{}{1}{120} (x+240 e^{e^{10}} x))}{x} \, dx\) [1492]
3.15.93
\(\int \genfrac {}{}{}{}{5-5 x-4 e^x x}{5 x} \, dx\) [1493]
3.15.94
\(\int (2 x+3 x^2) \, dx\) [1494]
3.15.95
\(\int \genfrac {}{}{}{}{2-x+(-x-2 x^2) \log (\genfrac {}{}{}{}{x}{3+6 x})}{x+2 x^2} \, dx\) [1495]
3.15.96
\(\int \genfrac {}{}{}{}{-8-5 x+(2+x) \log (2+x)}{800 x^2+400 x^3} \, dx\) [1496]
3.15.97
\(\int \genfrac {}{}{}{}{e^{2 x} (-5+x)^2 (30+42 x-12 x^2+e^{-4+x} (-15-6 x+3 x^2))}{4 (-20+e^{-4+x} (20-4 x)+e^{-8+2 x} (-5+x)+4 x)} \, dx\) [1497]
3.15.98
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x+(3+3 e^x+12 x-3 x^2) \log (\genfrac {}{}{}{}{x+2 \log (\log (4))}{\log (\log (4))})}{3+3 e^x+12 x-3 x^2}} (3+3 e^{2 x}+25 x+42 x^2-23 x^3+3 x^4+e^x (6+25 x-7 x^2)+(2+e^x (2-2 x)+2 x^2) \log (\log (4)))}{3 x+3 e^{2 x} x+24 x^2+42 x^3-24 x^4+3 x^5+e^x (6 x+24 x^2-6 x^3)+(6+6 e^{2 x}+48 x+84 x^2-48 x^3+6 x^4+e^x (12+48 x-12 x^2)) \log (\log (4))} \, dx\) [1498]
3.15.99
\(\int \genfrac {}{}{}{}{-839808 x-2239488 x^2-2620512 x^3-1670400 x^4-595968 x^5-110592 x^6-8192 x^7+e^{8 x} (-13436928 x-53747712 x^2-10077696 x^3+13436928 x^4)+e^{6 x} (-26873856 x-98537472 x^2-55987200 x^3+12690432 x^4+8957952 x^5)+e^{4 x} (-20155392 x-67184640 x^2-58910976 x^3-9082368 x^4+6967296 x^5+1990656 x^6)+e^{2 x} (-6718464 x-20155392 x^2-21959424 x^3-9374976 x^4-340992 x^5+774144 x^6+147456 x^7)}{-6718464+8398080 x^2-4199040 x^4+1049760 x^6-131220 x^8+6561 x^{10}} \, dx\) [1499]
3.15.100
\(\int \genfrac {}{}{}{}{-2+(2 x+e^{4 x^2} (1+8 x^2)) \log (x)-\log (x) \log (\genfrac {}{}{}{}{1}{12} x \log ^2(x))}{\log (x)} \, dx\) [1500]
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