3.7 Integrals 601 to 700

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