3.7 Integrals 601 to 700

\(\int e^{-2 x} \text {sech}^4(x) \, dx\) [601]
\(\int \genfrac {}{}{}{}{e^x}{\cosh (x)-\sinh (x)} \, dx\) [602]
\(\int \genfrac {}{}{}{}{e^{m x}}{\cosh (x)+\sinh (x)} \, dx\) [603]
\(\int \genfrac {}{}{}{}{e^x}{\cosh (x)+\sinh (x)} \, dx\) [604]
\(\int \genfrac {}{}{}{}{e^x}{1-\cosh (x)} \, dx\) [605]
\(\int \genfrac {}{}{}{}{e^x (1+\sinh (x))}{1+\cosh (x)} \, dx\) [606]
\(\int \genfrac {}{}{}{}{e^x (1-\sinh (x))}{1-\cosh (x)} \, dx\) [607]
\(\int x^m \log (x) \, dx\) [608]
\(\int x^m \log ^2(x) \, dx\) [609]
\(\int \genfrac {}{}{}{}{\log ^2(x)}{x^{5/2}} \, dx\) [610]
\(\int (a+b x) \log (x) \, dx\) [611]
\(\int (a+b x)^3 \log (x) \, dx\) [612]
\(\int (-1-8 \log ^2(x)+3 \log ^3(x)) \, dx\) [613]
\(\int (1+x^4) (1-2 \log (x)+\log ^3(x)) \, dx\) [614]
\(\int \genfrac {}{}{}{}{1}{x^3 \log ^4(x)} \, dx\) [615]
\(\int \genfrac {}{}{}{}{\log (x)}{a+b x} \, dx\) [616]
\(\int \genfrac {}{}{}{}{\log (x)}{(a+b x)^2} \, dx\) [617]
\(\int \genfrac {}{}{}{}{\log ^n(x)}{x} \, dx\) [618]
\(\int \genfrac {}{}{}{}{(a+b \log (x))^n}{x} \, dx\) [619]
\(\int \genfrac {}{}{}{}{1}{x (a+b \log (x))} \, dx\) [620]
\(\int \genfrac {}{}{}{}{(a+b \log (x))^{-n}}{x} \, dx\) [621]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a^2+\log ^2(x)}} \, dx\) [622]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {-a^2+\log ^2(x)}} \, dx\) [623]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a^2-\log ^2(x)}} \, dx\) [624]
\(\int \genfrac {}{}{}{}{1}{x \log (x) \sqrt {a^2+\log ^2(x)}} \, dx\) [625]
\(\int \genfrac {}{}{}{}{1}{x \log (x) \sqrt {a^2-\log ^2(x)}} \, dx\) [626]
\(\int \genfrac {}{}{}{}{1}{x \log (x) \sqrt {-a^2+\log ^2(x)}} \, dx\) [627]
\(\int \genfrac {}{}{}{}{\log (\log (x))}{x} \, dx\) [628]
\(\int \genfrac {}{}{}{}{\log ^2(\log (x))}{x} \, dx\) [629]
\(\int \genfrac {}{}{}{}{\log ^3(\log (x))}{x} \, dx\) [630]
\(\int \genfrac {}{}{}{}{\log ^4(\log (x))}{x} \, dx\) [631]
\(\int \genfrac {}{}{}{}{\log ^n(\log (x))}{x} \, dx\) [632]
\(\int \genfrac {}{}{}{}{\cot (x)}{\log (\sin (x))} \, dx\) [633]
\(\int (\cos (x)+\sec (x)) \tan (x) \, dx\) [634]
\(\int \log (\cosh (x)) \sinh (x) \, dx\) [635]
\(\int \log (\cosh (x)) \tanh (x) \, dx\) [636]
\(\int \log (x-\sqrt {1+x^2}) \, dx\) [637]
\(\int \genfrac {}{}{}{}{\log (-1+x)}{x^3} \, dx\) [638]
\(\int (-e^{-x}+e^x) \log (1+e^{2 x}) \, dx\) [639]
\(\int e^{3 x/2} \log (-1+e^x) \, dx\) [640]
\(\int \cos ^3(x) \log (\sin (x)) \, dx\) [641]
\(\int \log (\tan (x)) \sec ^4(x) \, dx\) [642]
\(\int \genfrac {}{}{}{}{\log (\cos (\genfrac {}{}{}{}{x}{2}))}{1+\cos (x)} \, dx\) [643]
\(\int \genfrac {}{}{}{}{\cos (x) \log (\sin (x))}{(1+\cos (x))^2} \, dx\) [644]
\(\int \genfrac {}{}{}{}{\arccos (x)^2}{x^5} \, dx\) [645]
\(\int x^2 \arcsin (x)^2 \, dx\) [646]
\(\int x^3 \arctan (x)^2 \, dx\) [647]
\(\int \genfrac {}{}{}{}{\arctan (x)^2}{x^5} \, dx\) [648]
\(\int x^3 \csc ^{-1}(x)^2 \, dx\) [649]
\(\int \genfrac {}{}{}{}{\sec ^{-1}(x)^4}{x^5} \, dx\) [650]
\(\int \sqrt {1-x^2} \arcsin (x) \, dx\) [651]
\(\int \sqrt {1-x^2} \arccos (x) \, dx\) [652]
\(\int x \sqrt {1-x^2} \arccos (x) \, dx\) [653]
\(\int (1-x^2)^{3/2} \arcsin (x) \, dx\) [654]
\(\int x (1-x^2)^{3/2} \arcsin (x) \, dx\) [655]
\(\int x^3 (1-x^2)^{3/2} \arccos (x) \, dx\) [656]
\(\int \genfrac {}{}{}{}{(1-x^2)^{3/2} \arccos (x)}{x} \, dx\) [657]
\(\int \genfrac {}{}{}{}{(1-x^2)^{3/2} \arcsin (x)}{x^6} \, dx\) [658]
\(\int \genfrac {}{}{}{}{x^2 \arcsin (x)}{\sqrt {1-x^2}} \, dx\) [659]
\(\int \genfrac {}{}{}{}{x^4 \arcsin (x)}{\sqrt {1-x^2}} \, dx\) [660]
\(\int \genfrac {}{}{}{}{x \arcsin (x)}{(1-x^2)^{3/2}} \, dx\) [661]
\(\int \genfrac {}{}{}{}{x \arccos (x)}{(1-x^2)^{3/2}} \, dx\) [662]
\(\int \genfrac {}{}{}{}{\arcsin (x)}{(1-x^2)^{5/2}} \, dx\) [663]
\(\int \genfrac {}{}{}{}{x^3 \arcsin (x)}{(1-x^2)^{3/2}} \, dx\) [664]
\(\int \genfrac {}{}{}{}{\arcsin (x)}{x (1-x^2)^{3/2}} \, dx\) [665]
\(\int \genfrac {}{}{}{}{\arccos (x)}{x^4 \sqrt {1-x^2}} \, dx\) [666]
\(\int x \sqrt {1-x^2} \arccos (x)^2 \, dx\) [667]
\(\int \genfrac {}{}{}{}{x^2 \arcsin (x)^3}{\sqrt {1-x^2}} \, dx\) [668]
\(\int \genfrac {}{}{}{}{x \arctan (x)}{(1+x^2)^2} \, dx\) [669]
\(\int \genfrac {}{}{}{}{x \arctan (x)}{(1+x^2)^3} \, dx\) [670]
\(\int \genfrac {}{}{}{}{x^2 \arctan (x)}{1+x^2} \, dx\) [671]
\(\int \genfrac {}{}{}{}{x^3 \arctan (x)}{1+x^2} \, dx\) [672]
\(\int \genfrac {}{}{}{}{x^2 \arctan (x)}{(1+x^2)^2} \, dx\) [673]
\(\int \genfrac {}{}{}{}{x^3 \arctan (x)}{(1+x^2)^2} \, dx\) [674]
\(\int \genfrac {}{}{}{}{x^5 \arctan (x)}{(1+x^2)^2} \, dx\) [675]
\(\int \genfrac {}{}{}{}{(1+x^2) \arctan (x)}{x^2} \, dx\) [676]
\(\int \genfrac {}{}{}{}{(1+x^2) \arctan (x)}{x^5} \, dx\) [677]
\(\int \genfrac {}{}{}{}{(1+x^2)^2 \arctan (x)}{x^5} \, dx\) [678]
\(\int \genfrac {}{}{}{}{\arctan (x)}{x^2 (1+x^2)} \, dx\) [679]
\(\int \genfrac {}{}{}{}{\arctan (x)^2}{x^3} \, dx\) [680]
\(\int \genfrac {}{}{}{}{(1+x^2) \arctan (x)^2}{x^5} \, dx\) [681]
\(\int \genfrac {}{}{}{}{x^3 \arctan (x)^2}{(1+x^2)^3} \, dx\) [682]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^2} \sec ^{-1}(x)}{x^2} \, dx\) [683]
\(\int \genfrac {}{}{}{}{(-1+x^2)^{5/2} \csc ^{-1}(x)}{x^3} \, dx\) [684]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^2} \sec ^{-1}(x)}{x^4} \, dx\) [685]
\(\int \genfrac {}{}{}{}{\sec ^{-1}(x)}{(-1+x^2)^{5/2}} \, dx\) [686]
\(\int \genfrac {}{}{}{}{x^2 \sec ^{-1}(x)}{(-1+x^2)^{5/2}} \, dx\) [687]
\(\int \genfrac {}{}{}{}{x^3 \sec ^{-1}(x)}{(-1+x^2)^{5/2}} \, dx\) [688]
\(\int \genfrac {}{}{}{}{x^6 \sec ^{-1}(x)}{(-1+x^2)^{5/2}} \, dx\) [689]
\(\int \genfrac {}{}{}{}{\sec ^{-1}(x)}{x^2 \sqrt {-1+x^2}} \, dx\) [690]
\(\int \genfrac {}{}{}{}{\csc ^{-1}(x)}{x^2 (-1+x^2)^{5/2}} \, dx\) [691]
\(\int \genfrac {}{}{}{}{\csc ^{-1}(x)^4}{x^2 \sqrt {-1+x^2}} \, dx\) [692]
\(\int \genfrac {}{}{}{}{(-1+x^2)^{3/2} \sec ^{-1}(x)^2}{x^5} \, dx\) [693]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^2} \sec ^{-1}(x)^3}{x^4} \, dx\) [694]
\(\int \arcsin (\sqrt {\genfrac {}{}{}{}{-a+x}{a+x}}) \, dx\) [695]
\(\int \arctan (\sqrt {\genfrac {}{}{}{}{-a+x}{a+x}}) \, dx\) [696]
\(\int \genfrac {}{}{}{}{\arctan (x)}{(1+x)^3} \, dx\) [697]
\(\int -\genfrac {}{}{}{}{\arctan (a-x)}{a+x} \, dx\) [698]
\(\int \genfrac {}{}{}{}{\arcsin (\sqrt {1-x^2})}{\sqrt {1-x^2}} \, dx\) [699]
\(\int \genfrac {}{}{}{}{x \arctan (\sqrt {1+x^2})}{\sqrt {1+x^2}} \, dx\) [700]