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3.24
Integrals 2301 to 2400
3.24.1
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1+11 x-x^2}{x}} (-1-x^2)}{x^2} \, dx\) [2301]
3.24.2
\(\int \genfrac {}{}{}{}{e^7 (-3 x^2+9 x^3)+(x^3-6 x^4+e^3 (4 x^3-12 x^4)) \log (2)+(e^4 (6 x^2-18 x^3)+(-4 x^3+12 x^4) \log (2)) \log (-x+3 x^2)+e (-3 x^2+9 x^3) \log ^2(-x+3 x^2)}{e^6 (-1+3 x)+e^3 (2-6 x) \log (-x+3 x^2)+(-1+3 x) \log ^2(-x+3 x^2)} \, dx\) [2302]
3.24.3
\(\int e^{e^{e^{e^x} (-2+x^2)}+x} (1+x+e^{e^x+e^{e^x} (-2+x^2)} (2 x^2+e^x (-2 x+x^3))) \, dx\) [2303]
3.24.4
\(\int \genfrac {}{}{}{}{-x+x^2+4 e (80-120 x) (x^2-x^3)+16 e^2 (-16+24 x) (x^2-x^3)^2}{-x+x^2} \, dx\) [2304]
3.24.5
\(\int \genfrac {}{}{}{}{e^{e^{\genfrac {}{}{}{}{9 x}{6+e^3+\log (\genfrac {}{}{}{}{5}{3})+3 \log (x)}}+\genfrac {}{}{}{}{9 x}{6+e^3+\log (\genfrac {}{}{}{}{5}{3})+3 \log (x)}} (27+9 e^3+9 \log (\genfrac {}{}{}{}{5}{3})+27 \log (x))}{36+12 e^3+e^6-(-12-2 e^3) \log (\genfrac {}{}{}{}{5}{3})+\log ^2(\genfrac {}{}{}{}{5}{3})+(36+6 e^3+6 \log (\genfrac {}{}{}{}{5}{3})) \log (x)+9 \log ^2(x)} \, dx\) [2305]
3.24.6
\(\int \genfrac {}{}{}{}{e^x (-140+8 x-4 x^2+5 \log (3)+16 \log (5))}{19600+1120 x^2+16 x^4+(-1400-40 x^2) \log (3)+25 \log ^2(3)+(-4480-128 x^2+160 \log (3)) \log (5)+256 \log ^2(5)} \, dx\) [2306]
3.24.7
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{4+4 x-3 x^2-2 x^3+x^4+(-8 x-4 x^2+4 x^3) \log (\genfrac {}{}{}{}{1}{4} (-8-4 x+\log (3)))+(-4-2 x+6 x^2) \log ^2(\genfrac {}{}{}{}{1}{4} (-8-4 x+\log (3)))+4 x \log ^3(\genfrac {}{}{}{}{1}{4} (-8-4 x+\log (3)))+\log ^4(\genfrac {}{}{}{}{1}{4} (-8-4 x+\log (3)))}} (-16+40 x+16 x^2+(2-4 x) \log (3)+(48+16 x-4 \log (3)) \log (\genfrac {}{}{}{}{1}{4} (-8-4 x+\log (3))))}{64+128 x-112 x^3-20 x^4+36 x^5+4 x^6-4 x^7+(-8-12 x+6 x^2+11 x^3-3 x^4-3 x^5+x^6) \log (3)+(-192 x-288 x^2+48 x^3+168 x^4-24 x^6+(24 x+24 x^2-18 x^3-12 x^4+6 x^5) \log (3)) \log (\genfrac {}{}{}{}{1}{4} (-8-4 x+\log (3)))+(-96-144 x+216 x^2+276 x^3-48 x^4-60 x^5+(12+12 x-33 x^2-18 x^3+15 x^4) \log (3)) \log ^2(\genfrac {}{}{}{}{1}{4} (-8-4 x+\log (3)))+(192 x+192 x^2-112 x^3-80 x^4+(-24 x-12 x^2+20 x^3) \log (3)) \log ^3(\genfrac {}{}{}{}{1}{4} (-8-4 x+\log (3)))+(48+48 x-108 x^2-60 x^3+(-6-3 x+15 x^2) \log (3)) \log ^4(\genfrac {}{}{}{}{1}{4} (-8-4 x+\log (3)))+(-48 x-24 x^2+6 x \log (3)) \log ^5(\genfrac {}{}{}{}{1}{4} (-8-4 x+\log (3)))+(-8-4 x+\log (3)) \log ^6(\genfrac {}{}{}{}{1}{4} (-8-4 x+\log (3)))} \, dx\) [2307]
3.24.8
\(\int \genfrac {}{}{}{}{-6+12 x^3-80 x^4+2 x^5-71 x^7+808 x^8-132 x^9+164 x^{10}-10 x^{11}+6 x^{12}+e^{4 x} (32 x^8+64 x^9)+e^{3 x} (-96 x^7+96 x^9+96 x^{10})+e^{2 x} (-48 x^4+48 x^5-48 x^7+224 x^8+296 x^9+80 x^{10}+48 x^{11})+e^x (32 x^2-8 x^3-24 x^5+24 x^6-152 x^7-40 x^8+456 x^9+128 x^{10}+32 x^{11}+8 x^{12})}{9 x^7} \, dx\) [2308]
3.24.9
\(\int \genfrac {}{}{}{}{-9 x \log (x)-90 e^{5 e^{2 x}+2 x} x \log (x)+(9 x+x^2+e^{10 e^{2 x}} (1-\log (x))+(-9 x-x^2) \log (x)+e^{5 e^{2 x}} (9+2 x+(-9-2 x) \log (x))) \log (\genfrac {}{}{}{}{9+e^{5 e^{2 x}}+x}{e^{5 e^{2 x}}+x})}{e^{10 e^{2 x}} x^2+9 x^3+x^4+e^{5 e^{2 x}} (9 x^2+2 x^3)} \, dx\) [2309]
3.24.10
\(\int \genfrac {}{}{}{}{4+6 x+e^{x^2} (4+6 x+16 x^2+12 x^3)}{4 x+3 x^2+e^{x^2} (4 x+3 x^2)} \, dx\) [2310]
3.24.11
\(\int \genfrac {}{}{}{}{-5 x+5 x^2+e^{e^{x/5}+\genfrac {}{}{}{}{x}{5}} x^2-5 \log (5)}{5 x^2} \, dx\) [2311]
3.24.12
\(\int \genfrac {}{}{}{}{-500 x-100 x^2-5 x^3+e^x (-200 x+70 x^2+10 x^3)}{800+128 e^{2 x}+160 x+8 x^2+e^x (640+64 x)} \, dx\) [2312]
3.24.13
\(\int \genfrac {}{}{}{}{e^{-2 e^x+\genfrac {}{}{}{}{4 e^{-2 e^x}}{900-60 \sqrt {e}+e}} ((-3600+240 \sqrt {e}-4 e) e^{2 e^x}-32 e^x x)}{900 x^2-60 \sqrt {e} x^2+e x^2} \, dx\) [2313]
3.24.14
\(\int \genfrac {}{}{}{}{(-16 x+28 x^2-8 x^3) \log (x)+(8 x-4 x^2+(8 x-28 x^2+12 x^3) \log (x)) \log (e^{-2 x} (-2 x^2+x^3))+(-16 x+8 x^2) \log (x) \log (e^{-2 x} (-2 x^2+x^3)) \log (\genfrac {}{}{}{}{\log (e^{-2 x} (-2 x^2+x^3))}{x \log (x)})}{(-2+x) \log (x) \log (e^{-2 x} (-2 x^2+x^3))} \, dx\) [2314]
3.24.15
\(\int (5 e^{3 x^2-e^{3+2 x} x^2} (24 e^{10} x+e^{13+2 x} (-8 x-8 x^2))+25 e^{6 x^2-2 e^{3+2 x} x^2} (12 e^{10} x+e^{13+2 x} (-4 x-4 x^2))) \, dx\) [2315]
3.24.16
\(\int \genfrac {}{}{}{}{4 e^{x^2+\genfrac {}{}{}{}{3+x^3}{x}} x^3+e^{\genfrac {}{}{}{}{3+x^3}{x}} (9-3 x-6 x^3+e^{x^2} (-6+2 x+4 x^3)) \log (\genfrac {}{}{}{}{1}{2} (-3+2 e^{x^2}))}{-3 x+2 e^{x^2} x} \, dx\) [2316]
3.24.17
\(\int \genfrac {}{}{}{}{-30 x+20 x^2-20 x^3+5 x^4+(270-90 x) \log (x)+(135-135 x+180 x^2-45 x^3) \log ^2(x)+(-15 x^2+5 x^3+(135 x-45 x^2) \log ^2(x)) \log (\genfrac {}{}{}{}{3-x}{-x^2+9 x \log ^2(x)})}{3 x^3-x^4+(-27 x^2+9 x^3) \log ^2(x)+(3 x^2-x^3+(-27 x+9 x^2) \log ^2(x)) \log (\genfrac {}{}{}{}{3-x}{-x^2+9 x \log ^2(x)})} \, dx\) [2317]
3.24.18
\(\int \genfrac {}{}{}{}{125-335 x-210 x^2+454 x^3-193 x^4+33 x^5-2 x^6+(125-75 x-110 x^2+74 x^3-15 x^4+x^5) \log (1-x^2)}{125-75 x-110 x^2+74 x^3-15 x^4+x^5} \, dx\) [2318]
3.24.19
\(\int \genfrac {}{}{}{}{20+e^{2 x} (-25+50 x) \log (4)}{4 x^2} \, dx\) [2319]
3.24.20
\(\int \genfrac {}{}{}{}{(-4+x^2) \log (x) \log ^2(\log (x))+e^{\genfrac {}{}{}{}{4 x}{\log (\log (x))}} (-4 x+4 x \log (x) \log (\log (x))-\log (x) \log ^2(\log (x)))}{e^{\genfrac {}{}{}{}{8 x}{\log (\log (x))}} \log (x) \log ^2(\log (x))+e^{\genfrac {}{}{}{}{4 x}{\log (\log (x))}} (8-4 x+2 x^2) \log (x) \log ^2(\log (x))+(16-16 x+12 x^2-4 x^3+x^4) \log (x) \log ^2(\log (x))} \, dx\) [2320]
3.24.21
\(\int \genfrac {}{}{}{}{-27 x+123 x^2-30 x^3+(576-168 x+126 x^2-30 x^3+(120-30 x) \log (4-x)) \log (\genfrac {}{}{}{}{1}{5} (24-x+5 x^2+5 \log (4-x)))}{(-96 x^3+28 x^4-21 x^5+5 x^6+(-20 x^3+5 x^4) \log (4-x)) \log ^2(\genfrac {}{}{}{}{1}{5} (24-x+5 x^2+5 \log (4-x)))} \, dx\) [2321]
3.24.22
\(\int \genfrac {}{}{}{}{262144+x^5-2 x^6+e^{12 x+10 x^4} (458752-1376256 x-4587520 x^4)+e^{18 x+15 x^4} (229376-1032192 x-3440640 x^4)+e^{6 x+5 x^4} (524288-786432 x-2621440 x^4)+e^{24 x+20 x^4} (71680-430080 x-1433600 x^4)+e^{30 x+25 x^4} (14336-107520 x-358400 x^4)+e^{36 x+30 x^4} (1792-16128 x-53760 x^4)+e^{42 x+35 x^4} (128-1344 x-4480 x^4)+e^{48 x+40 x^4} (4-48 x-160 x^4)}{x^5} \, dx\) [2322]
3.24.23
\(\int \genfrac {}{}{}{}{16}{1+64 x+1024 x^2} \, dx\) [2323]
3.24.24
\(\int \genfrac {}{}{}{}{1}{3} e^{-4+\genfrac {}{}{}{}{e^{33 x} x^2+8 e^{29 x} x^2 \log (x)+28 e^{25 x} x^2 \log ^2(x)+56 e^{21 x} x^2 \log ^3(x)+70 e^{17 x} x^2 \log ^4(x)+56 e^{13 x} x^2 \log ^5(x)+28 e^{9 x} x^2 \log ^6(x)+8 e^{5 x} x^2 \log ^7(x)+e^x x^2 \log ^8(x)}{3 e^4}} (8 e^{29 x} x+e^{33 x} (2 x+33 x^2)+(56 e^{25 x} x+e^{29 x} (16 x+232 x^2)) \log (x)+(168 e^{21 x} x+e^{25 x} (56 x+700 x^2)) \log ^2(x)+(280 e^{17 x} x+e^{21 x} (112 x+1176 x^2)) \log ^3(x)+(280 e^{13 x} x+e^{17 x} (140 x+1190 x^2)) \log ^4(x)+(168 e^{9 x} x+e^{13 x} (112 x+728 x^2)) \log ^5(x)+(56 e^{5 x} x+e^{9 x} (56 x+252 x^2)) \log ^6(x)+(8 e^x x+e^{5 x} (16 x+40 x^2)) \log ^7(x)+e^x (2 x+x^2) \log ^8(x)) \, dx\) [2324]
3.24.25
\(\int \genfrac {}{}{}{}{(600-160 x-136 x^2-16 x^3) \log ^2(2 x)+e^{\genfrac {}{}{}{}{x}{(40+8 x) \log (2 x)}} (-5 x-x^2+5 x \log (2 x)+(200+80 x+8 x^2) \log ^2(2 x))}{(200+80 x+8 x^2) \log ^2(2 x)} \, dx\) [2325]
3.24.26
\(\int \genfrac {}{}{}{}{2+e^4 (-2 e^2+2 x)}{e^4 (e^2-x)} \, dx\) [2326]
3.24.27
\(\int \genfrac {}{}{}{}{e^{-e^{\genfrac {}{}{}{}{3}{5+x}}} (1500 x+600 x^2+90 e^{\genfrac {}{}{}{}{3}{5+x}} x^2+60 x^3)}{25+10 x+x^2} \, dx\) [2327]
3.24.28
\(\int \genfrac {}{}{}{}{2 e^{2 x} \log ^2(x)+4 e^x \log ^4(x)+2 \log ^6(x)+e^{\genfrac {}{}{}{}{3 x+15 \log (x)}{\log (x)}} (-3 e^x x^2+3 e^x x^2 \log (x)+(-3 x^2+e^x (2 x-x^2)) \log ^2(x)+(-2 x+3 x^2) \log ^3(x)+2 x \log ^4(x))}{2 e^{2 x} \log ^2(x)+4 e^x \log ^4(x)+2 \log ^6(x)} \, dx\) [2328]
3.24.29
\(\int \genfrac {}{}{}{}{-6+84 x+12 x^2+(588+84 x) \log (x)+(x^2+2 x^3+(-1+12 x+28 x^2) \log (x)+(49+98 x) \log ^2(x)) \log ^2(-x^2+(1-14 x) \log (x)-49 \log ^2(x))}{(x^3+(-x+14 x^2) \log (x)+49 x \log ^2(x)) \log ^2(-x^2+(1-14 x) \log (x)-49 \log ^2(x))} \, dx\) [2329]
3.24.30
\(\int \genfrac {}{}{}{}{2552-8633 x+11437 x^2-9906 x^3+5150 x^4-1033 x^5+x^6}{677-4010 x+9103 x^2-9876 x^3+5135 x^4-1030 x^5+x^6} \, dx\) [2330]
3.24.31
\(\int \genfrac {}{}{}{}{4 e^4+e^{e^{16+32 e^x+24 e^{2 x}+8 e^{3 x}+e^{4 x}+x}} (1+e^{16+32 e^x+24 e^{2 x}+8 e^{3 x}+e^{4 x}+x} (x+32 e^x x+48 e^{2 x} x+24 e^{3 x} x+4 e^{4 x} x))}{e^4} \, dx\) [2331]
3.24.32
\(\int \genfrac {}{}{}{}{60-50 x+(-10+10 x) \log (-1+x)}{-4+8 x-5 x^2+x^3} \, dx\) [2332]
3.24.33
\(\int \genfrac {}{}{}{}{(-20+104 x-40 x^2+4 x^3+(100 x-40 x^2+4 x^3) \log (4)-20 \log (x)) \log (\genfrac {}{}{}{}{5-x+5 x^2-x^3+(5 x^2-x^3) \log (4)-2 x \log (x)}{-25+5 x})}{25-10 x+26 x^2-10 x^3+x^4+(25 x^2-10 x^3+x^4) \log (4)+(-10 x+2 x^2) \log (x)} \, dx\) [2333]
3.24.34
\(\int \genfrac {}{}{}{}{e^{-x^2} (-22 e^{x^2}+22 e^{x^2} \log (x)+x^x (2+(-2-2 x+4 x^2) \log (x)-2 x \log ^2(x)))}{\log ^2(x)} \, dx\) [2334]
3.24.35
\(\int \genfrac {}{}{}{}{(392-232 x-368 x^2+240 x^3+74 x^4-60 x^5+6 x^6) \log (\genfrac {}{}{}{}{-8-392 x+120 x^2+188 x^3-60 x^4+4 x^5}{-2+x^2})}{4+196 x-62 x^2-192 x^3+60 x^4+45 x^5-15 x^6+x^7} \, dx\) [2335]
3.24.36
\(\int \genfrac {}{}{}{}{-19 x-12 x^2+e^2 (15+10 x)+(-10 e^2+12 x) \log ^2(5)+(-3 x-2 x^2+e^2 (3+2 x)+(-2 e^2+2 x) \log ^2(5)) \log (-e^2+x)+(2+x-\log ^2(5)) \log (2+x-\log ^2(5))}{-20 x^2-10 x^3+e^2 (20 x+10 x^2)+(-10 e^2 x+10 x^2) \log ^2(5)+(e^2 (-10-5 x)+10 x+5 x^2+(5 e^2-5 x) \log ^2(5)) \log (2+x-\log ^2(5))+\log (-e^2+x) (-4 x^2-2 x^3+e^2 (4 x+2 x^2)+(-2 e^2 x+2 x^2) \log ^2(5)+(e^2 (-2-x)+2 x+x^2+(e^2-x) \log ^2(5)) \log (2+x-\log ^2(5)))} \, dx\) [2336]
3.24.37
\(\int \genfrac {}{}{}{}{e^3 (14-2 x)+14 x-2 x^2+(-7 x+2 x^2+2 x^3) \log (\genfrac {}{}{}{}{-7+2 x+2 x^2}{20 x^2})}{-7 x+2 x^2+2 x^3} \, dx\) [2337]
3.24.38
\(\int \genfrac {}{}{}{}{1}{-2+e^3} \, dx\) [2338]
3.24.39
\(\int (-1-2 x+5 \log (x)) \, dx\) [2339]
3.24.40
\(\int \genfrac {}{}{}{}{-1125000-757500 x-191250 x^2-21250 x^3+e^{e^{x^2}} (-281250-93750 x+e^{x^2} (-562500 x^2-375000 x^3-62500 x^4))}{9000000 x^3+140625 e^{3 e^{x^2}} x^3+4590000 x^4+780300 x^5+44217 x^6+e^{2 e^{x^2}} (1687500 x^3+286875 x^4)+e^{e^{x^2}} (6750000 x^3+2295000 x^4+195075 x^5)} \, dx\) [2340]
3.24.41
\(\int (4+5 e^{-8+4 x}+2 x+e^{-8+4 x} (5+20 x) \log (x)) \, dx\) [2341]
3.24.42
\(\int \genfrac {}{}{}{}{1+34 x+3 x^2+x^3+e^{2 x} (66 x^2+68 x^3+4 x^4+2 x^5)+(x+e^{2 x} (2 x^2+2 x^3)) \log (x)}{33 x+x^2+x^3+x \log (x)} \, dx\) [2342]
3.24.43
\(\int \genfrac {}{}{}{}{e^{2 x} (-x^2-2 x^3)+\log (4)}{x^2} \, dx\) [2343]
3.24.44
\(\int \genfrac {}{}{}{}{32-128 x+128 x^2+e^4 (8+7 x-28 x^2+28 x^3)}{e^4 (8-32 x+32 x^2)} \, dx\) [2344]
3.24.45
\(\int \genfrac {}{}{}{}{-100+100 x \log (x)+100 \log (x) \log (\genfrac {}{}{}{}{1}{3} e^{-x} \log (x)) \log (\log (\genfrac {}{}{}{}{1}{3} e^{-x} \log (x)))}{\log (x) \log (\genfrac {}{}{}{}{1}{3} e^{-x} \log (x)) \log ^2(\log (\genfrac {}{}{}{}{1}{3} e^{-x} \log (x)))} \, dx\) [2345]
3.24.46
\(\int \genfrac {}{}{}{}{-400 x^2+800 x^3-400 x^4+(800 x-1600 x^2+800 x^3) \log (-1+x)+(-400+800 x-400 x^2) \log ^2(-1+x)+e^{\genfrac {}{}{}{}{-x+x^2-x^3+(-x+x^2) \log (-1+x)}{x-x^2+(-1+x) \log (-1+x)}} (200 x^2-400 x^4+200 x^5+(200 x-400 x^2+800 x^3-400 x^4) \log (-1+x)+(200 x-400 x^2+200 x^3) \log ^2(-1+x))}{e^{\genfrac {}{}{}{}{3 (-x+x^2-x^3+(-x+x^2) \log (-1+x))}{x-x^2+(-1+x) \log (-1+x)}} (x^3-2 x^4+x^5+(-2 x^2+4 x^3-2 x^4) \log (-1+x)+(x-2 x^2+x^3) \log ^2(-1+x))+e^{\genfrac {}{}{}{}{2 (-x+x^2-x^3+(-x+x^2) \log (-1+x))}{x-x^2+(-1+x) \log (-1+x)}} (-3 x^3+6 x^4-3 x^5+(6 x^2-12 x^3+6 x^4) \log (-1+x)+(-3 x+6 x^2-3 x^3) \log ^2(-1+x)) \log (x^2)+e^{\genfrac {}{}{}{}{-x+x^2-x^3+(-x+x^2) \log (-1+x)}{x-x^2+(-1+x) \log (-1+x)}} (3 x^3-6 x^4+3 x^5+(-6 x^2+12 x^3-6 x^4) \log (-1+x)+(3 x-6 x^2+3 x^3) \log ^2(-1+x)) \log ^2(x^2)+(-x^3+2 x^4-x^5+(2 x^2-4 x^3+2 x^4) \log (-1+x)+(-x+2 x^2-x^3) \log ^2(-1+x)) \log ^3(x^2)} \, dx\) [2346]
3.24.47
\(\int \genfrac {}{}{}{}{-9 e^6-162 x+81 x^2}{e^{12} x^2+81 x^4-54 x^5+9 x^6+e^6 (18 x^3-6 x^4)} \, dx\) [2347]
3.24.48
\(\int e^{\genfrac {}{}{}{}{50}{x}+2 x} (2400 x^6-384 x^7-96 x^8) \, dx\) [2348]
3.24.49
\(\int (-3-e-2 x-3 \log (x)) \, dx\) [2349]
3.24.50
\(\int (33+e^{18} (-8-4 x)-2 x+24 x^2+4 x^3+60 x^5-10 x^9) \, dx\) [2350]
3.24.51
\(\int -8 e^{-2 x} \, dx\) [2351]
3.24.52
\(\int \genfrac {}{}{}{}{12 e^5-9 x^2+e^{-3+2 x} (-12 x^2-24 x^3)}{4 x^2} \, dx\) [2352]
3.24.53
\(\int \genfrac {}{}{}{}{e^{-5+x} (2+e^x) (80+14 x-16 x^2+2 x^3+e^x (80+14 x-16 x^2+2 x^3))+(-92+40 x-4 x^2+e^x (-46+20 x-2 x^2)+e^{-5+x} (2+e^x) (46-20 x+2 x^2+e^x (23-10 x+x^2))) \log (-2+e^{-5+x} (2+e^x))}{-100+40 x-4 x^2+e^x (-50+20 x-2 x^2)+e^{-5+x} (2+e^x) (50-20 x+2 x^2+e^x (25-10 x+x^2))} \, dx\) [2353]
3.24.54
\(\int \genfrac {}{}{}{}{e^{2 x} (9-5 x)+e^x (54-84 x+30 x^2)+(-5 e^{2 x} x+e^x (78 x-84 x^2+30 x^3)) \log (x)+e^x (162 x-180 x^2+50 x^3) \log ^2(x)}{36 x+e^{2 x} x-72 x^2+36 x^3+e^x (12 x-12 x^2)+(216 x-336 x^2+120 x^3+e^x (36 x-20 x^2)) \log (x)+(324 x-360 x^2+100 x^3) \log ^2(x)} \, dx\) [2354]
3.24.55
\(\int \genfrac {}{}{}{}{\genfrac {}{}{}{}{e^{2 x} (16+e^{3 x} (8-40 x)-32 x)}{x}+10 x+\genfrac {}{}{}{}{e^{4 x} (-4+8 x+e^{3 x} (-2+7 x))}{x^2}+e^{3 x} (53 x+15 x^2+15 x \log (4))}{5 x} \, dx\) [2355]
3.24.56
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-5-6 x+6 \log (\genfrac {}{}{}{}{16}{x^2})}{-x+\log (\genfrac {}{}{}{}{16}{x^2})}} (-40 x-30 x^2+3 x^3+x^4+e^x (10 x+5 x^2-2 x^3+x^4)+(-16 x^2-2 x^3+e^x (4 x^2-2 x^3)) \log (\genfrac {}{}{}{}{16}{x^2})+(8 x+x^2+e^x (-2 x+x^2)) \log ^2(\genfrac {}{}{}{}{16}{x^2}))}{16 x^2+e^{2 x} x^2+8 x^3+x^4+e^x (-8 x^2-2 x^3)+(-32 x-2 e^{2 x} x-16 x^2-2 x^3+e^x (16 x+4 x^2)) \log (\genfrac {}{}{}{}{16}{x^2})+(16+e^{2 x}+e^x (-8-2 x)+8 x+x^2) \log ^2(\genfrac {}{}{}{}{16}{x^2})} \, dx\) [2356]
3.24.57
\(\int \genfrac {}{}{}{}{-20+20 x-5 x^2+e^x (4-3 x+x^2+x \log (2))+(-5 x^2-5 x^3+e^x (-6 x+x^2+2 x \log (2))) \log (x)}{16 e^x-8 e^x x^2 \log (x)+e^x x^4 \log ^2(x)} \, dx\) [2357]
3.24.58
\(\int \genfrac {}{}{}{}{1-2 \log (x)}{x^3} \, dx\) [2358]
3.24.59
\(\int \genfrac {}{}{}{}{1}{36} e^{-2 x} x^2 (-\genfrac {}{}{}{}{9 e^{2 x}}{x^2}+100 x-50 x^2+\genfrac {}{}{}{}{3 e^x (-80+40 x)}{x}) \, dx\) [2359]
3.24.60
\(\int (e^x+e^{240-240 x-60 x^2+60 x^3+15 x^4} (768+384 x-576 x^2-192 x^3)) \, dx\) [2360]
3.24.61
\(\int \genfrac {}{}{}{}{12 x^2 \log (2)+3 e^{2/x} x^2 \log (2)+3 e^{\genfrac {}{}{}{}{2 (x^3+x^3 \log (2))}{\log (2)}} x^2 \log (2)+e^{\genfrac {}{}{}{}{1}{x}} (5+12 x^2) \log (2)+e^{\genfrac {}{}{}{}{x^3+x^3 \log (2)}{\log (2)}} (15 x^4-6 e^{\genfrac {}{}{}{}{1}{x}} x^2 \log (2)+(-12 x^2+15 x^4) \log (2))}{12 x^2 \log (2)+12 e^{\genfrac {}{}{}{}{1}{x}} x^2 \log (2)+3 e^{2/x} x^2 \log (2)+3 e^{\genfrac {}{}{}{}{2 (x^3+x^3 \log (2))}{\log (2)}} x^2 \log (2)+e^{\genfrac {}{}{}{}{x^3+x^3 \log (2)}{\log (2)}} (-12 x^2 \log (2)-6 e^{\genfrac {}{}{}{}{1}{x}} x^2 \log (2))} \, dx\) [2361]
3.24.62
\(\int \genfrac {}{}{}{}{4 e^{2-x}+4 x+e^{\genfrac {}{}{}{}{4+(5+x) \log (3)}{\log (3)}} (-e^{4-2 x}-2 e^{2-x} x-x^2)+e^{\genfrac {}{}{}{}{4+(5+x) \log (3)}{\log (3)}} (-e^{4-2 x} x-2 e^{2-x} x^2-x^3) \log (x)+(-x+e^{2-x} x) \log (x^4)}{e^{4-2 x} x+2 e^{2-x} x^2+x^3} \, dx\) [2362]
3.24.63
\(\int \genfrac {}{}{}{}{1}{3} e^{e^x} (e^{1+2 x} (1-x)+e^{10} (-1+2 x)+e^x (-e x+e^{10} (-x+x^2))) \, dx\) [2363]
3.24.64
\(\int \genfrac {}{}{}{}{3744-7968 x+2880 x^2+\genfrac {}{}{}{}{(13 x-6 x^2) (664 x^2-480 x^3)}{3 e^3}+\genfrac {}{}{}{}{(13 x-6 x^2)^2 (-26 x^2+24 x^3)}{9 e^6}}{-13 x^3+6 x^4} \, dx\) [2364]
3.24.65
\(\int \genfrac {}{}{}{}{e^{1-x+\genfrac {}{}{}{}{2 e^{1-x} x}{-1+x+5 x^2}} (-2+2 x-12 x^2-10 x^3)}{1-2 x-9 x^2+10 x^3+25 x^4} \, dx\) [2365]
3.24.66
\(\int \genfrac {}{}{}{}{-3 e^{\genfrac {}{}{}{}{1}{9} (45-18 x^2+9 e^3 x^2-5 x^3)}-3 x+(3 x+e^{\genfrac {}{}{}{}{1}{9} (45-18 x^2+9 e^3 x^2-5 x^3)} (-12 x^2+6 e^3 x^2-5 x^3)) \log (x)}{3 x \log ^2(x)} \, dx\) [2366]
3.24.67
\(\int \genfrac {}{}{}{}{-12 x^2-6 x \log (x)+(2+7 x+6 x^2) \log ^3(2+3 x)}{(4 x^2+6 x^3+(2 x+3 x^2) \log (x)) \log ^3(2+3 x)} \, dx\) [2367]
3.24.68
\(\int \genfrac {}{}{}{}{2-2 x+15 x^2+15 x^3+50 x^5+(-20 x^2-50 x^4) \log (2 x+5 x^3)+(-4 x^3-10 x^5+(4 x^2+10 x^4) \log (2 x+5 x^3)) \log (x-\log (2 x+5 x^3))}{10 x^2+25 x^4+(-10 x-25 x^3) \log (2 x+5 x^3)+(-2 x^2-5 x^4+(2 x+5 x^3) \log (2 x+5 x^3)) \log (x-\log (2 x+5 x^3))} \, dx\) [2368]
3.24.69
\(\int -\genfrac {}{}{}{}{2}{x^2} \, dx\) [2369]
3.24.70
\(\int \genfrac {}{}{}{}{2 x^5+e^{\genfrac {}{}{}{}{36 x^4+12 x^5+x^6+4 x^{2 x}+x^x (24 x^2+4 x^3)}{4 x^4}} (6 x^5+x^6+x^{2 x} (-8+4 x+4 x \log (x))+x^x (-24 x^2+10 x^3+2 x^4+(12 x^3+2 x^4) \log (x)))}{2 x^5} \, dx\) [2370]
3.24.71
\(\int \genfrac {}{}{}{}{3-3 e^x+e^{x^2} (-6+6 e^x-12 x^2)+(-3+6 e^{x^2}) \log (-\genfrac {}{}{}{}{x}{-1+2 e^{x^2}})}{-1+2 e^{x^2}} \, dx\) [2371]
3.24.72
\(\int \genfrac {}{}{}{}{(-8+2 x) \log (x)+x \log (x) \log (x^2) \log (\log (x^2))+((-2+2 x \log (x)) \log (x^2)+(4-x+(-4 x+x^2) \log (x)) \log (x^2) \log (\log (x^2))) \log (2+(-4+x) \log (\log (x^2)))}{(2 x \log (x) \log (x^2)+(-4 x+x^2) \log (x) \log (x^2) \log (\log (x^2))) \log (2+(-4+x) \log (\log (x^2)))} \, dx\) [2372]
3.24.73
\(\int (e^{\genfrac {}{}{}{}{512+(-96+96 x+32 x^2) \log ^2(3)}{\log ^2(3)}} (-96-64 x)+2 x) \, dx\) [2373]
3.24.74
\(\int \genfrac {}{}{}{}{-25+e^x (-40-60 x)-4 e^{2 x} x^2}{50+40 e^x x+8 e^{2 x} x^2} \, dx\) [2374]
3.24.75
\(\int \genfrac {}{}{}{}{e^{-2 x} (x^2+e^{2 x} (5 x^2+50 x^3-3 x^4)+e^x (5-x^2-50 x^3+28 x^4-x^5)+(x^2-2 x^3+e^x (-5-5 x-x^2+x^3)) \log (x))}{4 x^2} \, dx\) [2375]
3.24.76
\(\int (4+e^x (-1-x)+2 x) \, dx\) [2376]
3.24.77
\(\int \genfrac {}{}{}{}{3 x^2+3 x^4-e x^4}{1+6 x^2+4 x^3+9 x^4+e^2 x^4+12 x^5+4 x^6+e (-2 x^2-6 x^4-4 x^5)} \, dx\) [2377]
3.24.78
\(\int \genfrac {}{}{}{}{-2+13 x-13 x^2+4 x^3+e^x (-2+5 x)+(-2+e^x (-2+x)+x-x^2) \log (x)+(-8+4 x-4 x^2+e^x (-8+4 x)) \log (e^{-x} (8+e^x (8-4 x)-4 x+4 x^2))}{-8+4 x-4 x^2+e^x (-8+4 x)} \, dx\) [2378]
3.24.79
\(\int \genfrac {}{}{}{}{18+5 x+(6+2 x) \log (\genfrac {}{}{}{}{1}{3+x})+\log (x) (-9-3 x+(-3-x) \log (\genfrac {}{}{}{}{1}{3+x}))+(-9-3 x+(-3-x) \log (\genfrac {}{}{}{}{1}{3+x})) \log (3 x+x \log (\genfrac {}{}{}{}{1}{3+x}))}{9 x^2+3 x^3+(3 x^2+x^3) \log (\genfrac {}{}{}{}{1}{3+x})} \, dx\) [2379]
3.24.80
\(\int \genfrac {}{}{}{}{(2+2 x^2) \log (1+x^2)+16 x^2 \log ^7(\log (1+x^2))+(1+x^2) \log (1+x^2) \log ^8(\log (1+x^2))}{(1+x^2) \log (1+x^2)} \, dx\) [2380]
3.24.81
\(\int \genfrac {}{}{}{}{-100 x^2+50 x^3+25 x^4+e^{2+2 x} (-4+2 x+x^2)+e^{1+x} (40 x-20 x^2-10 x^3)+3^x ((-25 x^2-50 x^3-25 x^4) \log (3)+e^{1+x} (5+5 x-5 x^2-5 x^3+(5 x+10 x^2+5 x^3) \log (3)))}{125 x^2+250 x^3+125 x^4+e^{2+2 x} (5+10 x+5 x^2)+e^{1+x} (-50 x-100 x^2-50 x^3)} \, dx\) [2381]
3.24.82
\(\int \genfrac {}{}{}{}{-20+60 x+185 x^2+15 x^3+(120 x+10 x^2) \log (x)}{48 x^6+4 x^7+(96 x^5+8 x^6) \log (x)+(48 x^4+4 x^5) \log ^2(x)+(-384 x^3-32 x^4+(-384 x^2-32 x^3) \log (x)) \log (12+x)+(768+64 x) \log ^2(12+x)} \, dx\) [2382]
3.24.83
\(\int \genfrac {}{}{}{}{40 x-28 x^2-42 x^3+12 x^4+18 x^5+3 x^6+e^{2 x} (10 x^3+3 x^4)+e^x (-40 x^2+8 x^3+27 x^4+7 x^5)}{100+20 x-179 x^2-78 x^3+75 x^4+54 x^5+9 x^6+e^{2 x} (25 x^2+30 x^3+9 x^4)+e^x (-100 x-70 x^2+84 x^3+84 x^4+18 x^5)} \, dx\) [2383]
3.24.84
\(\int \genfrac {}{}{}{}{x+2 x^3+e^{\genfrac {}{}{}{}{2 (4 x+x^3+e^2 (4+x^2))}{x}} (4 x^3+e^2 (-8+2 x^2))+e^{\genfrac {}{}{}{}{4 x+x^3+e^2 (4+x^2)}{x}} (-2 x^2-4 x^4+e^2 (8 x-2 x^3))}{x^2} \, dx\) [2384]
3.24.85
\(\int (1+e^{e^{e^{e^{5+x}}}} (4+4 e^{5+e^{e^{5+x}}+e^{5+x}+x} x)) \, dx\) [2385]
3.24.86
\(\int \genfrac {}{}{}{}{e^{13+e-x+2 x^2+\log ^2(2 x)} (-4-x+4 x^2+2 \log (2 x))}{16 x^5} \, dx\) [2386]
3.24.87
\(\int \genfrac {}{}{}{}{6+x^2+24 x^3+(3-2 x-48 x^2) \log (\genfrac {}{}{}{}{1}{x^2})+(1+24 x) \log ^2(\genfrac {}{}{}{}{1}{x^2})}{3 x^2-6 x \log (\genfrac {}{}{}{}{1}{x^2})+3 \log ^2(\genfrac {}{}{}{}{1}{x^2})} \, dx\) [2387]
3.24.88
\(\int e^{-e^x} (-e^{2 x}+75 x^2+20 x^3+e^x (7-25 x^3-5 x^4)) \, dx\) [2388]
3.24.89
\(\int \genfrac {}{}{}{}{5 e^{3+2 x}-5 x+(5 x-10 x^2) \log (x)}{(e^{3+2 x} x-x^2) \log (x) \log ^2(\genfrac {}{}{}{}{e^{2 e^{2 e^3}-2 x} (e^{3+2 x}-x)}{\log (x)})} \, dx\) [2389]
3.24.90
\(\int \genfrac {}{}{}{}{20 x^3-40 x^4-19 x^5-2 x^6+e^{\genfrac {}{}{}{}{5+x}{x^2}} (250+125 x+20 x^2+x^3)}{25 x^3+10 x^4+x^5} \, dx\) [2390]
3.24.91
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{5 x-9 x \log (x)}{e^x (-5+x)+9 e^x \log (x)}} (-25+16 x-5 x^2+(90-90 x+9 x^2) \log (x)+(-81+81 x) \log ^2(x))}{e^x (25-10 x+x^2)+e^x (-90+18 x) \log (x)+81 e^x \log ^2(x)} \, dx\) [2391]
3.24.92
\(\int \genfrac {}{}{}{}{-720+540 x+3 e^{4+x} x^3+(180 x-6 e^{4+x} x^2) \log (\genfrac {}{}{}{}{x}{\log (5)})+3 e^{4+x} x \log ^2(\genfrac {}{}{}{}{x}{\log (5)})+(-720 x-180 x^2+3 e^{4+x} x^2+(720+180 x-6 e^{4+x} x) \log (\genfrac {}{}{}{}{x}{\log (5)})+3 e^{4+x} \log ^2(\genfrac {}{}{}{}{x}{\log (5)})) \log (\genfrac {}{}{}{}{-240-60 x+e^{4+x} x-e^{4+x} \log (\genfrac {}{}{}{}{x}{\log (5)})}{-x+\log (\genfrac {}{}{}{}{x}{\log (5)})})}{-240 x-60 x^2+e^{4+x} x^2+(240+60 x-2 e^{4+x} x) \log (\genfrac {}{}{}{}{x}{\log (5)})+e^{4+x} \log ^2(\genfrac {}{}{}{}{x}{\log (5)})} \, dx\) [2392]
3.24.93
\(\int \genfrac {}{}{}{}{1179648 x^5+131072 x^6+(393216 x^7+131072 x^8) \log (3 x)+(1572864 x^7+262144 x^8) \log ^2(3 x)+(294912 x^9+98304 x^{10}) \log ^3(3 x)+(737280 x^9+147456 x^{10}) \log ^4(3 x)+(73728 x^{11}+24576 x^{12}) \log ^5(3 x)+(147456 x^{11}+32768 x^{12}) \log ^6(3 x)+(6144 x^{13}+2048 x^{14}) \log ^7(3 x)+(10752 x^{13}+2560 x^{14}) \log ^8(3 x)}{243+405 x+270 x^2+90 x^3+15 x^4+x^5} \, dx\) [2393]
3.24.94
\(\int \genfrac {}{}{}{}{-32+32 x-8 x^2+e^{e^4} (-400 x+100 x^2)}{4-4 x+x^2} \, dx\) [2394]
3.24.95
\(\int \genfrac {}{}{}{}{12+19 x^2-8 e^{\genfrac {}{}{}{}{1}{4 \log (3)}} x^3-15 x^4}{4 x^2} \, dx\) [2395]
3.24.96
\(\int \genfrac {}{}{}{}{-9 x^4-2 x^5+e^{15} (288 x-152 x^2-48 x^3)+e^{20} (-148+184 x-33 x^2-18 x^3)+e^{10} (-215 x^2+6 x^3+12 x^4)+e^5 (72 x^3+16 x^4)}{-8 e^5 x^3+x^4+e^{20} (16-24 x+9 x^2)+e^{15} (-32 x+24 x^2)+e^{10} (24 x^2-6 x^3)} \, dx\) [2396]
3.24.97
\(\int \genfrac {}{}{}{}{2-e^4}{x} \, dx\) [2397]
3.24.98
\(\int (1+e^5 (-1-3 x^2)) \, dx\) [2398]
3.24.99
\(\int e^{-4 x^2-8 x \log ^2(5)-4 \log ^4(5)} (-52488 x+e^{4 x^2+8 x \log ^2(5)+4 \log ^4(5)} (2 x-6 x^2+4 x^3)-52488 \log ^2(5)+e^{2 x^2+4 x \log ^2(5)+2 \log ^4(5)} (162-324 x-648 x^2+648 x^3+(-648 x+648 x^2) \log ^2(5))) \, dx\) [2399]
3.24.100
\(\int \genfrac {}{}{}{}{(2 e^2 x+2 x^2) \log (3)+(-2 e^2-2 x) \log ^2(3)+(-4 e^2 x^3+4 e^2 x^2 \log (3)) \log (\genfrac {}{}{}{}{12 e^2+12 x}{x})+(2 e^2 x^3+2 x^4) \log ^2(\genfrac {}{}{}{}{12 e^2+12 x}{x})-4 e^2 x^4 \log ^3(\genfrac {}{}{}{}{12 e^2+12 x}{x})+(2 e^2 x^4+2 x^5) \log ^4(\genfrac {}{}{}{}{12 e^2+12 x}{x})}{e^2 x^3+x^4} \, dx\) [2400]
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