3.10 Integrals 901 to 1000

\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{16+6 x-x^2+24 x^3+9 x^6}{x}} (-16+x-x^2+48 x^3+45 x^6)}{x} \, dx\) [901]
\(\int \genfrac {}{}{}{}{-8 \log (x) \log (\log (x))+(-16+8 \log (2 x)) \log (2-\log (2 x))}{(-2 x \log (x)+x \log (x) \log (2 x)) \log ^2(2-\log (2 x))} \, dx\) [902]
\(\int \genfrac {}{}{}{}{4 x-6 x^3-3 \log (4)+(x-x^3-\log (4)) \log (\genfrac {}{}{}{}{-x^2+x^4+x \log (4)}{\log (4)})}{-x+x^3+\log (4)} \, dx\) [903]
\(\int \genfrac {}{}{}{}{-490000+7791 x+2401 x^2+(-7791 x-4802 x^2) \log (x)}{100000000 x-3180000 x^2-954719 x^3+15582 x^4+2401 x^5} \, dx\) [904]
\(\int \genfrac {}{}{}{}{-25 x-15 x^2-2 x^3+(5+27 x+15 x^2+2 x^3) \log (1+5 x+x^2)}{(1+5 x+x^2) \log ^2(1+5 x+x^2)} \, dx\) [905]
\(\int \genfrac {}{}{}{}{-18-18 e^9+36 x}{(8000+1200 x-1140 x^2-119 x^3+57 x^4+3 x^5-x^6+e^{27} (64+48 x+12 x^2+x^3)+e^{18} (960+528 x+36 x^2-21 x^3-3 x^4)+e^9 (4800+1680 x-348 x^2-141 x^3+6 x^4+3 x^5)) \log ^2(5)} \, dx\) [906]
\(\int \genfrac {}{}{}{}{48+e^{2 e^{\genfrac {}{}{}{}{x^2}{2}}} (4+e^{3+x} (-1+x))+e^{3+x} (-12+12 x)+e^{e^{\genfrac {}{}{}{}{x^2}{2}}} (-28+e^{3+x} (7-7 x)+e^{\genfrac {}{}{}{}{x^2}{2}} (4 x^2-e^{3+x} x^2))}{-48 x+12 e^{3+x} x+e^{e^{\genfrac {}{}{}{}{x^2}{2}}} (28 x-7 e^{3+x} x)+e^{2 e^{\genfrac {}{}{}{}{x^2}{2}}} (-4 x+e^{3+x} x)} \, dx\) [907]
\(\int \genfrac {}{}{}{}{-3375 x^2+2025 x^3-405 x^4+27 x^5+e^2 (-117+81 x)+(9 e^2+675 x^2-270 x^3+27 x^4) \log (x)+(-45 x^2+9 x^3) \log ^2(x)+x^2 \log ^3(x)}{-3375 x^2+2025 x^3-405 x^4+27 x^5+(675 x^2-270 x^3+27 x^4) \log (x)+(-45 x^2+9 x^3) \log ^2(x)+x^2 \log ^3(x)} \, dx\) [908]
\(\int \genfrac {}{}{}{}{200 x^2+80 x^3+(-50 x^3-20 x^4) \log (x)+(-400 x-160 x^2+(100 x^2+40 x^3) \log (x)) \log (x^2)+(200+80 x+(-50 x-20 x^2) \log (x)) \log ^2(x^2)+(\genfrac {}{}{}{}{4-x \log (x)}{x})^{\genfrac {}{}{}{}{x}{-2 x+2 \log (x^2)}} (-100 x-85 x^2-5 x^3+10 x^3 \log (x)+(100+125 x+5 x^2-20 x^2 \log (x)) \log (x^2)+(-40+10 x \log (x)) \log ^2(x^2)+(200+40 x+(-50 x-10 x^2) \log (x)+(-100-20 x+(25 x+5 x^2) \log (x)) \log (x^2)) \log (\genfrac {}{}{}{}{4-x \log (x)}{x}))}{-8 x^2+2 x^3 \log (x)+(16 x-4 x^2 \log (x)) \log (x^2)+(-8+2 x \log (x)) \log ^2(x^2)} \, dx\) [909]
\(\int \genfrac {}{}{}{}{e^{-x+\genfrac {}{}{}{}{e^{-x} (45 x^3+e^x (15-10 x-x^3))}{-15+x^3}} (-2025 x^2+675 x^3-45 x^6+e^x (150+20 x^3))}{225-30 x^3+x^6} \, dx\) [910]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-12-6 x-x^2+(4+x) \log (4 x^2)}{-3-x+\log (4 x^2)}} (4+6 x+x^2+(-5-2 x) \log (4 x^2)+\log ^2(4 x^2))}{9+6 x+x^2+(-6-2 x) \log (4 x^2)+\log ^2(4 x^2)} \, dx\) [911]
\(\int \genfrac {}{}{}{}{-4096 x^3-768 x^6-48 x^9-x^{12}+(-73728+442368 x-516096 x^2-446976 x^3-18432 x^4-105984 x^5-82944 x^6-12096 x^7-7200 x^8-5184 x^9-864 x^{10}-162 x^{11}-108 x^{12}-18 x^{13}) \log (x)+(73728-221184 x-202752 x^3-142848 x^4-13824 x^5-41472 x^6-17280 x^7-864 x^8-2592 x^9-864 x^{10}-54 x^{12}-18 x^{13}) \log ^2(x)}{4096 x^3+768 x^6+48 x^9+x^{12}} \, dx\) [912]
\(\int e^{-x} (e^x (-71+8 x)+e^{e^{-x} (2 x+x^2+x^3)} (-2-2 x^2+x^3)) \, dx\) [913]
\(\int \genfrac {}{}{}{}{2+e^{-5+2 x} (-16+24 x-12 x^2+2 x^3)-2 \log (2)}{-8+12 x-6 x^2+x^3} \, dx\) [914]
\(\int \genfrac {}{}{}{}{-32-32 x-3136 x^2-5856 x^3-135264 x^4-361536 x^5-3470656 x^6-11342464 x^7-60505088 x^8-209432832 x^9-761634048 x^{10}-2431822848 x^{11}-6896916992 x^{12}-18247276544 x^{13}-42386477056 x^{14}-87747545088 x^{15}-160647395328 x^{16}-251744145408 x^{17}-329327366144 x^{18}-354061008896 x^{19}-305923072000 x^{20}-201710469120 x^{21}-86671294464 x^{22}-4145971200 x^{23}+30720819200 x^{24}+31082479616 x^{25}+18860670976 x^{26}+8172208128 x^{27}+2618032128 x^{28}+614203392 x^{29}+100925440 x^{30}+10485760 x^{31}+524288 x^{32}}{131072 x^{17}+1114112 x^{18}+4456448 x^{19}+11141120 x^{20}+19496960 x^{21}+25346048 x^{22}+25346048 x^{23}+19914752 x^{24}+12446720 x^{25}+6223360 x^{26}+2489344 x^{27}+792064 x^{28}+198016 x^{29}+38080 x^{30}+5440 x^{31}+544 x^{32}+34 x^{33}+x^{34}} \, dx\) [915]
\(\int \genfrac {}{}{}{}{-3+4 x+6 x^2-11 x^3+(x^2-2 x^3) \log (x)}{x^2} \, dx\) [916]
\(\int \genfrac {}{}{}{}{e^{2+\genfrac {}{}{}{}{1}{4} (9+8 x)} (160 x+152 x^2-16 x^3)}{100-20 x+x^2} \, dx\) [917]
\(\int \genfrac {}{}{}{}{e^{\log ^2(4+2 x)} (8+4 x+(4+4 x) \log (4+2 x) \log (4+8 x+4 x^2))}{18+27 x+9 x^2} \, dx\) [918]
\(\int \genfrac {}{}{}{}{-9-14 x+6 x^2+4 x^3}{17-9 x-7 x^2+2 x^3+x^4} \, dx\) [919]
\(\int \genfrac {}{}{}{}{-3072+4608 x-1152 x^2+48 x^3-16 x^4+x^5+(-192 x^2+48 x^3+x^5) \log (3)+(1536-96 x-96 x^2-26 x^3+2 x^4+(-96 x+6 x^3+2 x^4) \log (3)) \log (\genfrac {}{}{}{}{256-32 x+x^2+(-32 x+2 x^2) \log (3)+x^2 \log ^2(3)}{x^2})+(-16 x^2+x^3+x^3 \log (3)) \log ^2(\genfrac {}{}{}{}{256-32 x+x^2+(-32 x+2 x^2) \log (3)+x^2 \log ^2(3)}{x^2})}{-16 x^4+x^5+x^5 \log (3)+(-32 x^3+2 x^4+2 x^4 \log (3)) \log (\genfrac {}{}{}{}{256-32 x+x^2+(-32 x+2 x^2) \log (3)+x^2 \log ^2(3)}{x^2})+(-16 x^2+x^3+x^3 \log (3)) \log ^2(\genfrac {}{}{}{}{256-32 x+x^2+(-32 x+2 x^2) \log (3)+x^2 \log ^2(3)}{x^2})} \, dx\) [920]
\(\int \genfrac {}{}{}{}{2}{(4+x) \log (4+x) \log (\log (4+x))} \, dx\) [921]
\(\int \genfrac {}{}{}{}{(1+e^5-2 x) \log ^2(1+e^5-2 x)+e^{\genfrac {}{}{}{}{x}{\log (1+e^5-2 x)}} (-2 x^2 \log (\genfrac {}{}{}{}{3 x}{2})+(-x-e^5 x+2 x^2) \log (1+e^5-2 x) \log (\genfrac {}{}{}{}{3 x}{2}))}{(x+e^5 x-2 x^2) \log ^2(1+e^5-2 x) \log (\genfrac {}{}{}{}{3 x}{2})} \, dx\) [922]
\(\int \genfrac {}{}{}{}{1}{x} \, dx\) [923]
\(\int \genfrac {}{}{}{}{e^{.-\genfrac {}{}{}{}{8}{5}/x} (8-5 x)+45 x}{15 x^3} \, dx\) [924]
\(\int \genfrac {}{}{}{}{1}{25} (45+5 e^{28 x/5}+(-5+e^{28 x/5} (5+28 x)) \log (x)) \, dx\) [925]
\(\int \genfrac {}{}{}{}{4 x^2+e^{4-16 x+16 x^2+(-4+8 x) \log (x)+\log ^2(x)} (160+272 x-992 x^2-128 x^3+(-64-264 x-32 x^2) \log (x))}{x^2} \, dx\) [926]
\(\int \genfrac {}{}{}{}{10 x+2 x^2+\genfrac {}{}{}{}{e^{-2 x} (1+2 x)}{x}+(-26+\genfrac {}{}{}{}{e^{-2 x}}{x}-10 x-x^2) \log (-26+\genfrac {}{}{}{}{e^{-2 x}}{x}-10 x-x^2)}{(-26+\genfrac {}{}{}{}{e^{-2 x}}{x}-10 x-x^2) \log ^2(-26+\genfrac {}{}{}{}{e^{-2 x}}{x}-10 x-x^2)} \, dx\) [927]
\(\int (e^{-5+x+\log ^2(2)}-\log (\genfrac {}{}{}{}{e^{32}}{5})) \, dx\) [928]
\(\int \genfrac {}{}{}{}{-1+16 x^2+4 x^3-4 x^4+(8 x+2 x^2-6 x^3) \log (x)-2 x^2 \log ^2(x)}{x} \, dx\) [929]
\(\int \genfrac {}{}{}{}{16 e^{e^x+x}}{18 e^{e^x}+9 \log (3)} \, dx\) [930]
\(\int \genfrac {}{}{}{}{50 x+e^{\genfrac {}{}{}{}{1}{625} e^2 (9-150 x+625 x^2)} (-50 x+e^2 (-6 x^2+50 x^3))}{25-50 e^{\genfrac {}{}{}{}{1}{625} e^2 (9-150 x+625 x^2)}+25 e^{\genfrac {}{}{}{}{2}{625} e^2 (9-150 x+625 x^2)}} \, dx\) [931]
\(\int \genfrac {}{}{}{}{5 x^2-4 x^3-x^4+(5 x+x^2) \log (\genfrac {}{}{}{}{15}{x})+(-5-6 x-7 x^2-6 x^3+(-5-7 x-2 x^2) \log (\genfrac {}{}{}{}{15}{x})) \log (\genfrac {}{}{}{}{1+x}{4})}{400 x^2+560 x^3+176 x^4+16 x^5} \, dx\) [932]
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{2 (-2 x^3+2 x^4)}{-4-6 x^2+6 x^3+e^4 (-x^2+x^3)}} (-16-48 x^2+96 x^3-100 x^4+96 x^5-84 x^6+24 x^7+e^8 (-x^4+2 x^5-x^6)+e^4 (-8 x^2+8 x^3-12 x^4+28 x^5-20 x^6+4 x^7))}{16+48 x^2-48 x^3+36 x^4-72 x^5+36 x^6+e^8 (x^4-2 x^5+x^6)+e^4 (8 x^2-8 x^3+12 x^4-24 x^5+12 x^6)} \, dx\) [933]
\(\int \genfrac {}{}{}{}{-2-48 x-102 x^3+2 e^{2 x} x^3-280 x^4+36 x^5+36 x^6+e^x (2 x-2 x^2-44 x^3+16 x^4+6 x^5)}{x^3} \, dx\) [934]
\(\int \genfrac {}{}{}{}{6}{x} \, dx\) [935]
\(\int \genfrac {}{}{}{}{e^{-x} (e^{5+\genfrac {}{}{}{}{4}{-3+x}} (-1440-1120 x+800 x^2-160 x^3)+e^5 (180+60 x-460 x^2+260 x^3-40 x^4))}{9 x^2-6 x^3+x^4} \, dx\) [936]
\(\int \genfrac {}{}{}{}{-1280-1920 x^2+128 x^3-720 x^4+e^x (-1280+1280 x-1920 x^2+1920 x^3-720 x^4+720 x^5)+8 x^4 \log (x)+(160 x+120 x^3-4 x^4+e^x (160 x-160 x^2+120 x^3-120 x^4)) \log ^2(x)+(-5 x^2+e^x (-5 x^2+5 x^3)) \log ^4(x)}{1280 x^2+1920 x^4+720 x^6+(-160 x^3-120 x^5) \log ^2(x)+5 x^4 \log ^4(x)} \, dx\) [937]
\(\int \genfrac {}{}{}{}{e^{-2 x} (-8 x+(8 x-8 x^2) \log (-\genfrac {}{}{}{}{2 x}{5}))}{25 \log ^3(-\genfrac {}{}{}{}{2 x}{5})} \, dx\) [938]
\(\int \genfrac {}{}{}{}{e^{-2-e^{\genfrac {}{}{}{}{-x+(4-\log (3)) \log (x^3)}{\log (x^3)}}-x} (e^{\genfrac {}{}{}{}{-x+(4-\log (3)) \log (x^3)}{\log (x^3)}} (-3+\log (x^3))-\log ^2(x^3))}{\log ^2(x^3)} \, dx\) [939]
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{24}{x^2}} (96+2 x^2)}{x^2} \, dx\) [940]
\(\int \genfrac {}{}{}{}{-105 x-x^2-2 x^3-2 x^5+(-105-210 x^3) \log (4)+(-105-210 x^3) \log (x)}{x^4+105 x^2 \log (4)+105 x^2 \log (x)} \, dx\) [941]
\(\int \genfrac {}{}{}{}{e^{e^{\genfrac {}{}{}{}{-8-12 x-28 x^2-13 x^3+e^x (4+4 x+12 x^2)}{4 x^3}}+\genfrac {}{}{}{}{-8-12 x-28 x^2-13 x^3+e^x (4+4 x+12 x^2)}{4 x^3}} (e^4 (6+6 x+7 x^2)+e^{4+x} (-3-x-2 x^2+3 x^3))}{x^4} \, dx\) [942]
\(\int \genfrac {}{}{}{}{125}{1-10 x+25 x^2+(8-40 x) \log (16)+16 \log ^2(16)} \, dx\) [943]
\(\int \genfrac {}{}{}{}{-16 x+3 x^2}{(10-8 x^2+x^3) \log (\genfrac {}{}{}{}{1}{5} (10-8 x^2+x^3))} \, dx\) [944]
\(\int \genfrac {}{}{}{}{-800-800 x+(1600-400 x-800 x^2) \log (x)+(-5 x+2 x^3) \log ^3(x)+((400+400 x) \log (x)+(-x-x^2) \log ^3(x)) \log (\genfrac {}{}{}{}{400-x \log ^2(x)}{\log ^2(x)})}{(-400-400 x) \log (x)+(x+x^2) \log ^3(x)} \, dx\) [945]
\(\int \genfrac {}{}{}{}{(128 x-18 x^3+36 x^4-18 x^5+(-768-256 x+324 x^2-756 x^3+252 x^4+180 x^5) \log (3+x)) \log (\genfrac {}{}{}{}{4096 \log (3+x)}{4096 x^2-1152 x^4+2304 x^5-1071 x^6-324 x^7+486 x^8-324 x^9+81 x^{10}})}{(-192 x-64 x^2+27 x^3-45 x^4+9 x^5+9 x^6) \log (3+x)} \, dx\) [946]
\(\int \genfrac {}{}{}{}{21+e^{-8+50 x^2} (3-300 x^2)-3 \log (5)-3 \log (x^2)}{25+e^{-16+100 x^2}+10 x+x^2+e^{-8+50 x^2} (10+2 x-2 \log (5))+(-10-2 x) \log (5)+\log ^2(5)+(-10-2 e^{-8+50 x^2}-2 x+2 \log (5)) \log (x^2)+\log ^2(x^2)} \, dx\) [947]
\(\int \genfrac {}{}{}{}{-4-4 x+2 x^2+5 x^3+2 x^4+(7 x^2+6 x^3) \log (\genfrac {}{}{}{}{3 e^{x+x^2}}{4})+(-2+3 x+6 x^2) \log ^2(\genfrac {}{}{}{}{3 e^{x+x^2}}{4})+(1+2 x) \log ^3(\genfrac {}{}{}{}{3 e^{x+x^2}}{4})}{x^3+3 x^2 \log (\genfrac {}{}{}{}{3 e^{x+x^2}}{4})+3 x \log ^2(\genfrac {}{}{}{}{3 e^{x+x^2}}{4})+\log ^3(\genfrac {}{}{}{}{3 e^{x+x^2}}{4})} \, dx\) [948]
\(\int \genfrac {}{}{}{}{(16-8 x) \log (x)+4 x \log ^2(x)+\sqrt {\genfrac {}{}{}{}{e^{x/2}}{x^2}} (-8 \log (x)+(-4+x) \log ^2(x))}{\genfrac {}{}{}{}{4 e^{x/2}}{x}+16 x-16 x^2+4 x^3+\sqrt {\genfrac {}{}{}{}{e^{x/2}}{x^2}} (-16 x+8 x^2)} \, dx\) [949]
\(\int \genfrac {}{}{}{}{-80-15 x+10 x^2+5 x^5+(3 x^3-5 x^5) \log (2)}{5 x^5} \, dx\) [950]
\(\int (1-3 x+2 x^2+2 x^3-3 x^4+x^5+(8-16 x+16 x^3-8 x^4) \log (25)+(28-32 x-24 x^2+32 x^3-4 x^4) \log ^2(25)+(56-24 x-56 x^2+24 x^3) \log ^3(25)+(70+10 x-54 x^2+6 x^3) \log ^4(25)+(56+32 x-24 x^2) \log ^5(25)+(28+24 x-4 x^2) \log ^6(25)+(8+8 x) \log ^7(25)+(1+x) \log ^8(25)+(1-6 x+6 x^2+8 x^3-15 x^4+6 x^5+(8-32 x+64 x^3-40 x^4) \log (25)+(28-64 x-72 x^2+128 x^3-20 x^4) \log ^2(25)+(56-48 x-168 x^2+96 x^3) \log ^3(25)+(70+20 x-162 x^2+24 x^3) \log ^4(25)+(56+64 x-72 x^2) \log ^5(25)+(28+48 x-12 x^2) \log ^6(25)+(8+16 x) \log ^7(25)+(1+2 x) \log ^8(25)) \log (x)) \, dx\) [951]
\(\int (-2+\log (\genfrac {}{}{}{}{3 x^3}{125})) \, dx\) [952]
\(\int \genfrac {}{}{}{}{e^5 (-800-160 x)+25600 x+19200 x^2+1920 x^3-320 x^4}{e^5 (-125+75 x-15 x^2+x^3)} \, dx\) [953]
\(\int \genfrac {}{}{}{}{e^5 (-4+4 x^2)+e^5 (-4+3 x-4 x^2) \log (\genfrac {}{}{}{}{12-9 x+12 x^2}{4 x})+(8 x-6 x^2+8 x^3) \log ^2(\genfrac {}{}{}{}{12-9 x+12 x^2}{4 x})}{(20-15 x+20 x^2) \log ^2(\genfrac {}{}{}{}{12-9 x+12 x^2}{4 x})} \, dx\) [954]
\(\int \genfrac {}{}{}{}{-6 \log (4)+(6 x^2-9 x^3) \log ^2(x)+(6 \log (4) \log (x)+(3 x^2-3 x^3) \log ^2(x)) \log (\genfrac {}{}{}{}{4 \log (4)+(2 x^2-2 x^3) \log (x)}{\log (x)}) \log (\log (\genfrac {}{}{}{}{4 \log (4)+(2 x^2-2 x^3) \log (x)}{\log (x)}))}{(-2 x^2 \log (4) \log (x)+(-x^4+x^5) \log ^2(x)) \log (\genfrac {}{}{}{}{4 \log (4)+(2 x^2-2 x^3) \log (x)}{\log (x)}) \log ^2(\log (\genfrac {}{}{}{}{4 \log (4)+(2 x^2-2 x^3) \log (x)}{\log (x)}))} \, dx\) [955]
\(\int \genfrac {}{}{}{}{-40 e^x x^2+e^{2 x} (100 x+140 x^2+40 x^3)+e^{1+x} (40 e^x x^2+e^{2 x} (-40 x-40 x^2))+(40 x^2+e^x (-200 x-180 x^2-40 x^3)+e^{1+x} (-40 x^2+e^x (80 x+40 x^2))) \log (10-4 e^{1+x}+4 x)+(100 x-40 e^{1+x} x+40 x^2) \log ^2(10-4 e^{1+x}+4 x)}{-125-50 x+e^{2 x} (-50 x^2-20 x^3)+e^{1+x} (50+20 e^{2 x} x^2+2 e^{4 x} x^4)+e^{4 x} (-5 x^4-2 x^5)+(e^x (100 x^2+40 x^3)+e^{1+x} (-40 e^x x^2-8 e^{3 x} x^4)+e^{3 x} (20 x^4+8 x^5)) \log (10-4 e^{1+x}+4 x)+(-50 x^2-20 x^3+e^{1+x} (20 x^2+12 e^{2 x} x^4)+e^{2 x} (-30 x^4-12 x^5)) \log ^2(10-4 e^{1+x}+4 x)+(-8 e^{1+2 x} x^4+e^x (20 x^4+8 x^5)) \log ^3(10-4 e^{1+x}+4 x)+(-5 x^4+2 e^{1+x} x^4-2 x^5) \log ^4(10-4 e^{1+x}+4 x)} \, dx\) [956]
\(\int \genfrac {}{}{}{}{15+e^x (-10 x-10 x^2)}{-3+e^x x^2} \, dx\) [957]
\(\int \genfrac {}{}{}{}{750 \log (\genfrac {}{}{}{}{x^3+2 e^5 x^3+e^{10} x^3}{e^{10}})-125 \log ^2(\genfrac {}{}{}{}{x^3+2 e^5 x^3+e^{10} x^3}{e^{10}})}{13 x^2} \, dx\) [958]
\(\int \genfrac {}{}{}{}{e^{2 x} (-5+10 x) \log (4)+e^{\genfrac {}{}{}{}{3 \log (4)-e^x \log (4)-2 x \log (x^2)}{\log (4)}} (-e^{3 x} x \log (4)+e^{2 x} (-4 x+(-1+2 x) \log (4))-2 e^{2 x} x \log (x^2))}{x^2 \log (4)} \, dx\) [959]
\(\int \genfrac {}{}{}{}{e^{5 x+x^2} (-512+2560 x+1024 x^2)+e^{5 x+x^2} (128 x-640 x^2-256 x^3) \log (\genfrac {}{}{}{}{1+4 \log (\genfrac {}{}{}{}{e^{5 x+x^2}+4 x}{x})}{\log (\genfrac {}{}{}{}{e^{5 x+x^2}+4 x}{x})})+((-128 e^{5 x+x^2} x-512 x^2) \log (\genfrac {}{}{}{}{e^{5 x+x^2}+4 x}{x})+(-512 e^{5 x+x^2} x-2048 x^2) \log ^2(\genfrac {}{}{}{}{e^{5 x+x^2}+4 x}{x})) \log ^2(\genfrac {}{}{}{}{1+4 \log (\genfrac {}{}{}{}{e^{5 x+x^2}+4 x}{x})}{\log (\genfrac {}{}{}{}{e^{5 x+x^2}+4 x}{x})})+((32 e^{5 x+x^2} x^2+128 x^3) \log (\genfrac {}{}{}{}{e^{5 x+x^2}+4 x}{x})+(128 e^{5 x+x^2} x^2+512 x^3) \log ^2(\genfrac {}{}{}{}{e^{5 x+x^2}+4 x}{x})) \log ^3(\genfrac {}{}{}{}{1+4 \log (\genfrac {}{}{}{}{e^{5 x+x^2}+4 x}{x})}{\log (\genfrac {}{}{}{}{e^{5 x+x^2}+4 x}{x})})}{((e^{5 x+x^2} x+4 x^2) \log (\genfrac {}{}{}{}{e^{5 x+x^2}+4 x}{x})+(4 e^{5 x+x^2} x+16 x^2) \log ^2(\genfrac {}{}{}{}{e^{5 x+x^2}+4 x}{x})) \log ^3(\genfrac {}{}{}{}{1+4 \log (\genfrac {}{}{}{}{e^{5 x+x^2}+4 x}{x})}{\log (\genfrac {}{}{}{}{e^{5 x+x^2}+4 x}{x})})} \, dx\) [960]
\(\int \genfrac {}{}{}{}{-6 e^{2+2 x} x^3+e^{\genfrac {}{}{}{}{e^{-2-2 x} (-4+x-x^2+\log (x))}{x^2}} (27+21 x-6 x^2+3 e^{2+2 x} x^2+6 x^3+(-6-6 x) \log (x))}{e^{2+2 x+\genfrac {}{}{}{}{2 e^{-2-2 x} (-4+x-x^2+\log (x))}{x^2}} x^4-2 e^{2+2 x+\genfrac {}{}{}{}{e^{-2-2 x} (-4+x-x^2+\log (x))}{x^2}} x^5+e^{2+2 x} x^6} \, dx\) [961]
\(\int \genfrac {}{}{}{}{800 e^4 x+(100 e^2-800 e^4 x) \log (x)-100 e^2 \log ^2(x)}{1000 e^6 x^3+300 e^4 x^2 \log (x)+30 e^2 x \log ^2(x)+\log ^3(x)} \, dx\) [962]
\(\int \genfrac {}{}{}{}{-4+4 x^5-\log (x)}{x^2} \, dx\) [963]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{3+16 e^4 x-16 x^2+48 e^{3/4} x^2}{16 x}} (-3-16 x^2+48 e^{3/4} x^2)}{16 x^2} \, dx\) [964]
\(\int \genfrac {}{}{}{}{-18 x+2 x \log (25)}{-8-9 x^2+x^2 \log (25)} \, dx\) [965]
\(\int \genfrac {}{}{}{}{-1000-1500 x-1500 x^2+e^{x^2} (200+340 x+300 x^2-60 x^3)+(400+300 x+600 x^2+e^{x^2} (-80-60 x-120 x^2)) \log (5-e^{x^2})+(-40-60 x^2+e^{x^2} (8+12 x^2)) \log ^2(5-e^{x^2})}{-500+1500 x^2-1125 x^4+e^{x^2} (100-300 x^2+225 x^4)+(200-600 x^2+450 x^4+e^{x^2} (-40+120 x^2-90 x^4)) \log (5-e^{x^2})+(-20+60 x^2-45 x^4+e^{x^2} (4-12 x^2+9 x^4)) \log ^2(5-e^{x^2})} \, dx\) [966]
\(\int \genfrac {}{}{}{}{e^x (4-4 x)+e^x (-1+x) \log (4 \log (5)+\log (5) \log (25))}{-6 x^2+x^2 \log (4 \log (5)+\log (5) \log (25))} \, dx\) [967]
\(\int \genfrac {}{}{}{}{-29+290 x-290 x^2+58 x^3+e^x (1-9 x+9 x^2-2 x^3)}{29 x-29 x^2+e^x (-x+x^2)} \, dx\) [968]
\(\int \genfrac {}{}{}{}{-216 x+216 x^3-54 x^5+e^{4/x} (-216+54 x+108 x^2+27 x^3)+(-54 x-27 x^3) \log (2)}{16 x^3+e^{8/x} x^3-16 x^5+4 x^7+(8 x^3-4 x^5) \log (2)+x^3 \log ^2(2)+e^{4/x} (-8 x^3+4 x^5-2 x^3 \log (2))} \, dx\) [969]
\(\int (5-16 x+3 x^2+(-6+4 x) \log (x^2)+\log ^2(x^2)) \, dx\) [970]
\(\int \genfrac {}{}{}{}{-10 x^7 \log (2)+(45 x^4+5 x^9) \log ^2(2)+(10 x^5+(-54 x^2-6 x^7) \log (2)) \log (9+x^5)+(9+x^5) \log ^2(9+x^5)}{(9+x^5) \log ^2(2)} \, dx\) [971]
\(\int \genfrac {}{}{}{}{3 x+\genfrac {}{}{}{}{x^3 (-27+18 x-3 x^2)}{e^{16}}}{9 x-6 x^2+x^3} \, dx\) [972]
\(\int \genfrac {}{}{}{}{-9+24 x+32 x^3+16 x^4+e^4 (-12 x-16 x^3)+e^{4 x} (16 x^4+32 x^5)+e^{2 x} (8 x^3+96 x^4+32 x^5+e^4 (-16 x^3-32 x^4))}{8 x^3} \, dx\) [973]
\(\int \genfrac {}{}{}{}{1}{3} (e^x (1+x)-5^x \log (5)) \, dx\) [974]
\(\int \genfrac {}{}{}{}{-4-e^x+4 x+8 x \log (2 x)}{-e^x-4 x+4 x^2 \log (2 x)} \, dx\) [975]
\(\int \genfrac {}{}{}{}{e^x x^3+x^4+e^{e^x} (-6 x^2-6 e^x x^2)+(e^{2 e^x} (2 x+2 e^x x)+e^{e^x} (6 x^2-6 e^{2 x} x^2+e^x (6 x-6 x^3))) \log (2 e^x+2 x)+e^{2 e^x} (-2 x+2 e^{2 x} x+e^x (-2+2 x^2)) \log ^2(2 e^x+2 x)}{e^x x^3+x^4} \, dx\) [976]
\(\int \genfrac {}{}{}{}{e^{4 x} (50 x^2+100 x^3)+e^{-2 x+2 \log ^2(x)} (2 e^{4 x} x+4 e^{4 x} \log (x))+e^{-x+\log ^2(x)} (e^{4 x} (-10 x-30 x^2)-20 e^{4 x} x \log (x))}{x} \, dx\) [977]
\(\int \genfrac {}{}{}{}{12+e^x (3+3 x+x^2)}{16 x^2+8 e^x x^2+e^{2 x} x^2} \, dx\) [978]
\(\int \genfrac {}{}{}{}{-10-3 x^2+x^2 \log (x)}{6 x^2} \, dx\) [979]
\(\int \genfrac {}{}{}{}{-14-4 \log (\genfrac {}{}{}{}{4}{x})+\log (x)}{-9 x-4 x \log (\genfrac {}{}{}{}{4}{x})+x \log (x)} \, dx\) [980]
\(\int \genfrac {}{}{}{}{1+x+2 e x^2+(-8 x+2 x^2+2 e x^3+2 x \log (x)) \log (4-x-e x^2-\log (x))}{(-4 x+x^2+e x^3+x \log (x)) \log (4-x-e x^2-\log (x))} \, dx\) [981]
\(\int \genfrac {}{}{}{}{-2 e x^2+e^{\genfrac {}{}{}{}{1}{2} (28+e^4)} (-2 e^5+4 e x)}{e^8 x^2-2 e^4 x^3+x^4} \, dx\) [982]
\(\int \genfrac {}{}{}{}{-2+2 x-3 e^x x-3 e^{x^3} x^3}{x} \, dx\) [983]
\(\int \genfrac {}{}{}{}{e^{-2 x} (2 e^{2 x} x^2+e^{\genfrac {}{}{}{}{e^{-2 x} (-1+e^{2 x} x \log ^2(4))}{2 x}} (1+2 x))}{2 x^2} \, dx\) [984]
\(\int \genfrac {}{}{}{}{(-25 x+9 x^2-8 x^3+16 x^4-50 \log (x)) \log (\genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{25}{16 x^2}}}{x-x^2+2 \log (x)})}{4 x^4-4 x^5+8 x^3 \log (x)} \, dx\) [985]
\(\int \genfrac {}{}{}{}{e^4 (480 x-144 x^2-120 x^3+12 x^4)+e^2 (1600 x^2-640 x^3-1200 x^4+160 x^5)}{25600 x^2+19200 x^4+4800 x^6+400 x^8+e^4 (576+432 x^2+108 x^4+9 x^6)+e^2 (7680 x+5760 x^3+1440 x^5+120 x^7)} \, dx\) [986]
\(\int \genfrac {}{}{}{}{e^{1+e^{3+x}} (-16-12 x-2 x^2+e^{3+x} (4 x+4 x^2+x^3))}{x^5} \, dx\) [987]
\(\int \genfrac {}{}{}{}{6}{2 x+3 x \log (x)} \, dx\) [988]
\(\int \genfrac {}{}{}{}{3 e^{\log ^8(4)} \log (x)+e^{\log ^8(4)} (-3-8 x) \log (\genfrac {}{}{}{}{3+8 x}{x})+3 e^{\log ^8(4)} \log (\log (2))}{(3 x+8 x^2) \log ^2(x) \log ^2(\genfrac {}{}{}{}{3+8 x}{x})+(6 x+16 x^2) \log (x) \log ^2(\genfrac {}{}{}{}{3+8 x}{x}) \log (\log (2))+(3 x+8 x^2) \log ^2(\genfrac {}{}{}{}{3+8 x}{x}) \log ^2(\log (2))} \, dx\) [989]
\(\int \genfrac {}{}{}{}{\log (x)+(8 e-16 e \log (x)+(1-2 \log (x)) \log (2 x)) \log (\genfrac {}{}{}{}{8 e+\log (2 x)}{4 e})}{72 e x^3+9 x^3 \log (2 x)} \, dx\) [990]
\(\int \genfrac {}{}{}{}{x+10 x^2+x^4-25 x^6+e^{2 x} (x^2+2 x^3-17 x^4-10 x^5)+e^x (-2 x^3-2 x^4+42 x^5+10 x^6)+(-1-4 x+5 x^2) \log (x+5 x^2)}{-x^6-5 x^7+e^{2 x} (-x^4-5 x^5)+e^x (2 x^5+10 x^6)+(x^2+5 x^3) \log (x+5 x^2)} \, dx\) [991]
\(\int \genfrac {}{}{}{}{35+7 x+(-6+2 x) \log (5+x)+(-5-x) \log ^2(5+x)}{45-21 x-x^2+x^3} \, dx\) [992]
\(\int \genfrac {}{}{}{}{-50 x^4-50 x \log (x)+(-100-25 x-300 x^3-75 x^4) \log (4+x)}{(4 x^7+x^8+(8 x^4+2 x^5) \log (x)+(4 x+x^2) \log ^2(x)) \log ^3(4+x)} \, dx\) [993]
\(\int \genfrac {}{}{}{}{1}{4} e^{-3+x^2} (e^{3-x^2} (8 e+8 x)+e^{30 e^{-3+x^2}} (e^{3-x^2} x^3+15 x^5)+e^{15 e^{-3+x^2}} (60 e x^3+60 x^4+e^{3-x^2} (4 e x+6 x^2))) \, dx\) [994]
\(\int \genfrac {}{}{}{}{e^{-3+e^{-\genfrac {}{}{}{}{x}{5-x+\log (2)}}-\genfrac {}{}{}{}{x}{5-x+\log (2)}} (-15-3 \log (2))}{50-20 x+2 x^2+(20-4 x) \log (2)+2 \log ^2(2)} \, dx\) [995]
\(\int (-20+e^x (4+4 x)+e^{5+x} (4+4 x)+e^{5 e^2} (-5+e^x (1+x)+e^{5+x} (1+x))) \, dx\) [996]
\(\int \genfrac {}{}{}{}{1}{3} (1+3 e^3+4 x+e^{5+x+e^x x} (3+3 x)) \, dx\) [997]
\(\int \genfrac {}{}{}{}{-10+e^{e^{x^2}} (2-4 e^{x^2} x^2)}{-5 x+e^{e^{x^2}} x+x^2} \, dx\) [998]
\(\int \genfrac {}{}{}{}{3+4 x+(1+x) \log (1+x)}{9 x^2+9 x^3+(6 x^2+6 x^3) \log (1+x)+(x^2+x^3) \log ^2(1+x)} \, dx\) [999]
\(\int \genfrac {}{}{}{}{8 e^x \log (-7+4 x)+e^x (-7+4 x) \log ^2(-7+4 x)}{-175+100 x} \, dx\) [1000]