3.10 Integrals 901 to 1000

\(\int \genfrac {}{}{}{}{e^{-3 \text {arctanh}(a+b x)}}{x} \, dx\) [901]
\(\int \genfrac {}{}{}{}{e^{-3 \text {arctanh}(a+b x)}}{x^2} \, dx\) [902]
\(\int \genfrac {}{}{}{}{e^{-3 \text {arctanh}(a+b x)}}{x^3} \, dx\) [903]
\(\int \genfrac {}{}{}{}{e^{-3 \text {arctanh}(a+b x)}}{x^4} \, dx\) [904]
\(\int e^{n \text {arctanh}(a+b x)} (c x)^m \, dx\) [905]
\(\int e^{n \text {arctanh}(a+b x)} x^3 \, dx\) [906]
\(\int e^{n \text {arctanh}(a+b x)} x^2 \, dx\) [907]
\(\int e^{n \text {arctanh}(a+b x)} x \, dx\) [908]
\(\int e^{n \text {arctanh}(a+b x)} \, dx\) [909]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a+b x)}}{x} \, dx\) [910]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a+b x)}}{x^2} \, dx\) [911]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a+b x)}}{x^3} \, dx\) [912]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(1+b x)}}{2+b x} \, dx\) [913]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a+b x)} x^3}{1-a^2-2 a b x-b^2 x^2} \, dx\) [914]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a+b x)} x^2}{1-a^2-2 a b x-b^2 x^2} \, dx\) [915]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a+b x)} x}{1-a^2-2 a b x-b^2 x^2} \, dx\) [916]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a+b x)}}{1-a^2-2 a b x-b^2 x^2} \, dx\) [917]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a+b x)}}{x (1-a^2-2 a b x-b^2 x^2)} \, dx\) [918]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a+b x)}}{x^2 (1-a^2-2 a b x-b^2 x^2)} \, dx\) [919]
\(\int e^{\text {arctanh}(a x)} (c-a^2 c x^2)^4 \, dx\) [920]
\(\int e^{\text {arctanh}(a x)} (c-a^2 c x^2)^3 \, dx\) [921]
\(\int e^{\text {arctanh}(a x)} (c-a^2 c x^2)^2 \, dx\) [922]
\(\int e^{\text {arctanh}(a x)} (c-a^2 c x^2) \, dx\) [923]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^4}{c-a^2 c x^2} \, dx\) [924]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^3}{c-a^2 c x^2} \, dx\) [925]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^2}{c-a^2 c x^2} \, dx\) [926]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x}{c-a^2 c x^2} \, dx\) [927]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{c-a^2 c x^2} \, dx\) [928]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x (c-a^2 c x^2)} \, dx\) [929]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)} \, dx\) [930]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^3 (c-a^2 c x^2)} \, dx\) [931]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^4 (c-a^2 c x^2)} \, dx\) [932]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^6}{(c-a^2 c x^2)^2} \, dx\) [933]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^5}{(c-a^2 c x^2)^2} \, dx\) [934]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^4}{(c-a^2 c x^2)^2} \, dx\) [935]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^3}{(c-a^2 c x^2)^2} \, dx\) [936]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^2} \, dx\) [937]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x}{(c-a^2 c x^2)^2} \, dx\) [938]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{(c-a^2 c x^2)^2} \, dx\) [939]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x (c-a^2 c x^2)^2} \, dx\) [940]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)^2} \, dx\) [941]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^3 (c-a^2 c x^2)^2} \, dx\) [942]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^4 (c-a^2 c x^2)^2} \, dx\) [943]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^7}{(c-a^2 c x^2)^3} \, dx\) [944]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^6}{(c-a^2 c x^2)^3} \, dx\) [945]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^5}{(c-a^2 c x^2)^3} \, dx\) [946]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^4}{(c-a^2 c x^2)^3} \, dx\) [947]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^3}{(c-a^2 c x^2)^3} \, dx\) [948]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^3} \, dx\) [949]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x}{(c-a^2 c x^2)^3} \, dx\) [950]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{(c-a^2 c x^2)^3} \, dx\) [951]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x (c-a^2 c x^2)^3} \, dx\) [952]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)^3} \, dx\) [953]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^3 (c-a^2 c x^2)^3} \, dx\) [954]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{(c-a^2 c x^2)^4} \, dx\) [955]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{(c-a^2 c x^2)^5} \, dx\) [956]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^4}{\sqrt {1-a^2 x^2}} \, dx\) [957]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^3}{\sqrt {1-a^2 x^2}} \, dx\) [958]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^2}{\sqrt {1-a^2 x^2}} \, dx\) [959]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x}{\sqrt {1-a^2 x^2}} \, dx\) [960]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{\sqrt {1-a^2 x^2}} \, dx\) [961]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x \sqrt {1-a^2 x^2}} \, dx\) [962]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^2 \sqrt {1-a^2 x^2}} \, dx\) [963]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^3 \sqrt {1-a^2 x^2}} \, dx\) [964]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^4 \sqrt {1-a^2 x^2}} \, dx\) [965]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^4}{(1-a^2 x^2)^{3/2}} \, dx\) [966]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^3}{(1-a^2 x^2)^{3/2}} \, dx\) [967]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^2}{(1-a^2 x^2)^{3/2}} \, dx\) [968]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x}{(1-a^2 x^2)^{3/2}} \, dx\) [969]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{(1-a^2 x^2)^{3/2}} \, dx\) [970]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x (1-a^2 x^2)^{3/2}} \, dx\) [971]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^2 (1-a^2 x^2)^{3/2}} \, dx\) [972]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^3 (1-a^2 x^2)^{3/2}} \, dx\) [973]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^4 (1-a^2 x^2)^{3/2}} \, dx\) [974]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^6}{(1-a^2 x^2)^{5/2}} \, dx\) [975]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^5}{(1-a^2 x^2)^{5/2}} \, dx\) [976]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^4}{(1-a^2 x^2)^{5/2}} \, dx\) [977]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^3}{(1-a^2 x^2)^{5/2}} \, dx\) [978]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^2}{(1-a^2 x^2)^{5/2}} \, dx\) [979]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x}{(1-a^2 x^2)^{5/2}} \, dx\) [980]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{(1-a^2 x^2)^{5/2}} \, dx\) [981]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x (1-a^2 x^2)^{5/2}} \, dx\) [982]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^2 (1-a^2 x^2)^{5/2}} \, dx\) [983]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^3 (1-a^2 x^2)^{5/2}} \, dx\) [984]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^4 (1-a^2 x^2)^{5/2}} \, dx\) [985]
\(\int e^{\text {arctanh}(a x)} x^2 \sqrt {c-a^2 c x^2} \, dx\) [986]
\(\int e^{\text {arctanh}(a x)} x \sqrt {c-a^2 c x^2} \, dx\) [987]
\(\int e^{\text {arctanh}(a x)} \sqrt {c-a^2 c x^2} \, dx\) [988]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x} \, dx\) [989]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^2} \, dx\) [990]
\(\int e^{\text {arctanh}(a x)} (c-a^2 c x^2)^{3/2} \, dx\) [991]
\(\int e^{\text {arctanh}(a x)} (c-a^2 c x^2)^{5/2} \, dx\) [992]
\(\int e^{\text {arctanh}(a x)} (c-a^2 c x^2)^{7/2} \, dx\) [993]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^4}{\sqrt {c-a^2 c x^2}} \, dx\) [994]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^3}{\sqrt {c-a^2 c x^2}} \, dx\) [995]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^2}{\sqrt {c-a^2 c x^2}} \, dx\) [996]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x}{\sqrt {c-a^2 c x^2}} \, dx\) [997]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{\sqrt {c-a^2 c x^2}} \, dx\) [998]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x \sqrt {c-a^2 c x^2}} \, dx\) [999]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)}}{x^2 \sqrt {c-a^2 c x^2}} \, dx\) [1000]