3.7.1 \(\int e^{-2 x} \text {sech}^4(x) \, dx\) [601]
3.7.2 \(\int \genfrac {}{}{}{}{e^x}{\cosh (x)-\sinh (x)} \, dx\) [602]
3.7.3 \(\int \genfrac {}{}{}{}{e^{m x}}{\cosh (x)+\sinh (x)} \, dx\) [603]
3.7.4 \(\int \genfrac {}{}{}{}{e^x}{\cosh (x)+\sinh (x)} \, dx\) [604]
3.7.5 \(\int \genfrac {}{}{}{}{e^x}{1-\cosh (x)} \, dx\) [605]
3.7.6 \(\int \genfrac {}{}{}{}{e^x (1+\sinh (x))}{1+\cosh (x)} \, dx\) [606]
3.7.7 \(\int \genfrac {}{}{}{}{e^x (1-\sinh (x))}{1-\cosh (x)} \, dx\) [607]
3.7.8 \(\int x^m \log (x) \, dx\) [608]
3.7.9 \(\int x^m \log ^2(x) \, dx\) [609]
3.7.10 \(\int \genfrac {}{}{}{}{\log ^2(x)}{x^{5/2}} \, dx\) [610]
3.7.11 \(\int (a+b x) \log (x) \, dx\) [611]
3.7.12 \(\int (a+b x)^3 \log (x) \, dx\) [612]
3.7.13 \(\int (-1-8 \log ^2(x)+3 \log ^3(x)) \, dx\) [613]
3.7.14 \(\int (1+x^4) (1-2 \log (x)+\log ^3(x)) \, dx\) [614]
3.7.15 \(\int \genfrac {}{}{}{}{1}{x^3 \log ^4(x)} \, dx\) [615]
3.7.16 \(\int \genfrac {}{}{}{}{\log (x)}{a+b x} \, dx\) [616]
3.7.17 \(\int \genfrac {}{}{}{}{\log (x)}{(a+b x)^2} \, dx\) [617]
3.7.18 \(\int \genfrac {}{}{}{}{\log ^n(x)}{x} \, dx\) [618]
3.7.19 \(\int \genfrac {}{}{}{}{(a+b \log (x))^n}{x} \, dx\) [619]
3.7.20 \(\int \genfrac {}{}{}{}{1}{x (a+b \log (x))} \, dx\) [620]
3.7.21 \(\int \genfrac {}{}{}{}{(a+b \log (x))^{-n}}{x} \, dx\) [621]
3.7.22 \(\int \genfrac {}{}{}{}{1}{x \sqrt {a^2+\log ^2(x)}} \, dx\) [622]
3.7.23 \(\int \genfrac {}{}{}{}{1}{x \sqrt {-a^2+\log ^2(x)}} \, dx\) [623]
3.7.24 \(\int \genfrac {}{}{}{}{1}{x \sqrt {a^2-\log ^2(x)}} \, dx\) [624]
3.7.25 \(\int \genfrac {}{}{}{}{1}{x \log (x) \sqrt {a^2+\log ^2(x)}} \, dx\) [625]
3.7.26 \(\int \genfrac {}{}{}{}{1}{x \log (x) \sqrt {a^2-\log ^2(x)}} \, dx\) [626]
3.7.27 \(\int \genfrac {}{}{}{}{1}{x \log (x) \sqrt {-a^2+\log ^2(x)}} \, dx\) [627]
3.7.28 \(\int \genfrac {}{}{}{}{\log (\log (x))}{x} \, dx\) [628]
3.7.29 \(\int \genfrac {}{}{}{}{\log ^2(\log (x))}{x} \, dx\) [629]
3.7.30 \(\int \genfrac {}{}{}{}{\log ^3(\log (x))}{x} \, dx\) [630]
3.7.31 \(\int \genfrac {}{}{}{}{\log ^4(\log (x))}{x} \, dx\) [631]
3.7.32 \(\int \genfrac {}{}{}{}{\log ^n(\log (x))}{x} \, dx\) [632]
3.7.33 \(\int \genfrac {}{}{}{}{\cot (x)}{\log (\sin (x))} \, dx\) [633]
3.7.34 \(\int (\cos (x)+\sec (x)) \tan (x) \, dx\) [634]
3.7.35 \(\int \log (\cosh (x)) \sinh (x) \, dx\) [635]
3.7.36 \(\int \log (\cosh (x)) \tanh (x) \, dx\) [636]
3.7.37 \(\int \log (x-\sqrt {1+x^2}) \, dx\) [637]
3.7.38 \(\int \genfrac {}{}{}{}{\log (-1+x)}{x^3} \, dx\) [638]
3.7.39 \(\int (-e^{-x}+e^x) \log (1+e^{2 x}) \, dx\) [639]
3.7.40 \(\int e^{3 x/2} \log (-1+e^x) \, dx\) [640]
3.7.41 \(\int \cos ^3(x) \log (\sin (x)) \, dx\) [641]
3.7.42 \(\int \log (\tan (x)) \sec ^4(x) \, dx\) [642]
3.7.43 \(\int \genfrac {}{}{}{}{\log (\cos (\genfrac {}{}{}{}{x}{2}))}{1+\cos (x)} \, dx\) [643]
3.7.44 \(\int \genfrac {}{}{}{}{\cos (x) \log (\sin (x))}{(1+\cos (x))^2} \, dx\) [644]
3.7.45 \(\int \genfrac {}{}{}{}{\arccos (x)^2}{x^5} \, dx\) [645]
3.7.46 \(\int x^2 \arcsin (x)^2 \, dx\) [646]
3.7.47 \(\int x^3 \arctan (x)^2 \, dx\) [647]
3.7.48 \(\int \genfrac {}{}{}{}{\arctan (x)^2}{x^5} \, dx\) [648]
3.7.49 \(\int x^3 \csc ^{-1}(x)^2 \, dx\) [649]
3.7.50 \(\int \genfrac {}{}{}{}{\sec ^{-1}(x)^4}{x^5} \, dx\) [650]
3.7.51 \(\int \sqrt {1-x^2} \arcsin (x) \, dx\) [651]
3.7.52 \(\int \sqrt {1-x^2} \arccos (x) \, dx\) [652]
3.7.53 \(\int x \sqrt {1-x^2} \arccos (x) \, dx\) [653]
3.7.54 \(\int (1-x^2)^{3/2} \arcsin (x) \, dx\) [654]
3.7.55 \(\int x (1-x^2)^{3/2} \arcsin (x) \, dx\) [655]
3.7.56 \(\int x^3 (1-x^2)^{3/2} \arccos (x) \, dx\) [656]
3.7.57 \(\int \genfrac {}{}{}{}{(1-x^2)^{3/2} \arccos (x)}{x} \, dx\) [657]
3.7.58 \(\int \genfrac {}{}{}{}{(1-x^2)^{3/2} \arcsin (x)}{x^6} \, dx\) [658]
3.7.59 \(\int \genfrac {}{}{}{}{x^2 \arcsin (x)}{\sqrt {1-x^2}} \, dx\) [659]
3.7.60 \(\int \genfrac {}{}{}{}{x^4 \arcsin (x)}{\sqrt {1-x^2}} \, dx\) [660]
3.7.61 \(\int \genfrac {}{}{}{}{x \arcsin (x)}{(1-x^2)^{3/2}} \, dx\) [661]
3.7.62 \(\int \genfrac {}{}{}{}{x \arccos (x)}{(1-x^2)^{3/2}} \, dx\) [662]
3.7.63 \(\int \genfrac {}{}{}{}{\arcsin (x)}{(1-x^2)^{5/2}} \, dx\) [663]
3.7.64 \(\int \genfrac {}{}{}{}{x^3 \arcsin (x)}{(1-x^2)^{3/2}} \, dx\) [664]
3.7.65 \(\int \genfrac {}{}{}{}{\arcsin (x)}{x (1-x^2)^{3/2}} \, dx\) [665]
3.7.66 \(\int \genfrac {}{}{}{}{\arccos (x)}{x^4 \sqrt {1-x^2}} \, dx\) [666]
3.7.67 \(\int x \sqrt {1-x^2} \arccos (x)^2 \, dx\) [667]
3.7.68 \(\int \genfrac {}{}{}{}{x^2 \arcsin (x)^3}{\sqrt {1-x^2}} \, dx\) [668]
3.7.69 \(\int \genfrac {}{}{}{}{x \arctan (x)}{(1+x^2)^2} \, dx\) [669]
3.7.70 \(\int \genfrac {}{}{}{}{x \arctan (x)}{(1+x^2)^3} \, dx\) [670]
3.7.71 \(\int \genfrac {}{}{}{}{x^2 \arctan (x)}{1+x^2} \, dx\) [671]
3.7.72 \(\int \genfrac {}{}{}{}{x^3 \arctan (x)}{1+x^2} \, dx\) [672]
3.7.73 \(\int \genfrac {}{}{}{}{x^2 \arctan (x)}{(1+x^2)^2} \, dx\) [673]
3.7.74 \(\int \genfrac {}{}{}{}{x^3 \arctan (x)}{(1+x^2)^2} \, dx\) [674]
3.7.75 \(\int \genfrac {}{}{}{}{x^5 \arctan (x)}{(1+x^2)^2} \, dx\) [675]
3.7.76 \(\int \genfrac {}{}{}{}{(1+x^2) \arctan (x)}{x^2} \, dx\) [676]
3.7.77 \(\int \genfrac {}{}{}{}{(1+x^2) \arctan (x)}{x^5} \, dx\) [677]
3.7.78 \(\int \genfrac {}{}{}{}{(1+x^2)^2 \arctan (x)}{x^5} \, dx\) [678]
3.7.79 \(\int \genfrac {}{}{}{}{\arctan (x)}{x^2 (1+x^2)} \, dx\) [679]
3.7.80 \(\int \genfrac {}{}{}{}{\arctan (x)^2}{x^3} \, dx\) [680]
3.7.81 \(\int \genfrac {}{}{}{}{(1+x^2) \arctan (x)^2}{x^5} \, dx\) [681]
3.7.82 \(\int \genfrac {}{}{}{}{x^3 \arctan (x)^2}{(1+x^2)^3} \, dx\) [682]
3.7.83 \(\int \genfrac {}{}{}{}{\sqrt {-1+x^2} \sec ^{-1}(x)}{x^2} \, dx\) [683]
3.7.84 \(\int \genfrac {}{}{}{}{(-1+x^2)^{5/2} \csc ^{-1}(x)}{x^3} \, dx\) [684]
3.7.85 \(\int \genfrac {}{}{}{}{\sqrt {-1+x^2} \sec ^{-1}(x)}{x^4} \, dx\) [685]
3.7.86 \(\int \genfrac {}{}{}{}{\sec ^{-1}(x)}{(-1+x^2)^{5/2}} \, dx\) [686]
3.7.87 \(\int \genfrac {}{}{}{}{x^2 \sec ^{-1}(x)}{(-1+x^2)^{5/2}} \, dx\) [687]
3.7.88 \(\int \genfrac {}{}{}{}{x^3 \sec ^{-1}(x)}{(-1+x^2)^{5/2}} \, dx\) [688]
3.7.89 \(\int \genfrac {}{}{}{}{x^6 \sec ^{-1}(x)}{(-1+x^2)^{5/2}} \, dx\) [689]
3.7.90 \(\int \genfrac {}{}{}{}{\sec ^{-1}(x)}{x^2 \sqrt {-1+x^2}} \, dx\) [690]
3.7.91 \(\int \genfrac {}{}{}{}{\csc ^{-1}(x)}{x^2 (-1+x^2)^{5/2}} \, dx\) [691]
3.7.92 \(\int \genfrac {}{}{}{}{\csc ^{-1}(x)^4}{x^2 \sqrt {-1+x^2}} \, dx\) [692]
3.7.93 \(\int \genfrac {}{}{}{}{(-1+x^2)^{3/2} \sec ^{-1}(x)^2}{x^5} \, dx\) [693]
3.7.94 \(\int \genfrac {}{}{}{}{\sqrt {-1+x^2} \sec ^{-1}(x)^3}{x^4} \, dx\) [694]
3.7.95 \(\int \arcsin (\sqrt {\genfrac {}{}{}{}{-a+x}{a+x}}) \, dx\) [695]
3.7.96 \(\int \arctan (\sqrt {\genfrac {}{}{}{}{-a+x}{a+x}}) \, dx\) [696]
3.7.97 \(\int \genfrac {}{}{}{}{\arctan (x)}{(1+x)^3} \, dx\) [697]
3.7.98 \(\int -\genfrac {}{}{}{}{\arctan (a-x)}{a+x} \, dx\) [698]
3.7.99 \(\int \genfrac {}{}{}{}{\arcsin (\sqrt {1-x^2})}{\sqrt {1-x^2}} \, dx\) [699]
3.7.100 \(\int \genfrac {}{}{}{}{x \arctan (\sqrt {1+x^2})}{\sqrt {1+x^2}} \, dx\) [700]