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3.15
Integrals 1401 to 1416
\(\int e^{2 (1+p) \text {arctanh}(a x)} (1-a^2 x^2)^{-p} \, dx\) [1401]
\(\int e^{2 (1+p) \text {arctanh}(a x)} (c-a^2 c x^2)^{-p} \, dx\) [1402]
\(\int e^{2 p \text {arctanh}(a x)} (c-a^2 c x^2)^p \, dx\) [1403]
\(\int e^{-2 p \text {arctanh}(a x)} (c-a^2 c x^2)^p \, dx\) [1404]
\(\int e^{n \text {arctanh}(a x)} x^2 (c-a^2 c x^2)^{-1-\genfrac {}{}{}{}{n^2}{2}} \, dx\) [1405]
\(\int \genfrac {}{}{}{}{e^{6 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{19}} \, dx\) [1406]
\(\int \genfrac {}{}{}{}{e^{4 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^9} \, dx\) [1407]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^3} \, dx\) [1408]
\(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^3} \, dx\) [1409]
\(\int \genfrac {}{}{}{}{e^{-4 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^9} \, dx\) [1410]
\(\int \genfrac {}{}{}{}{e^{5 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{27/2}} \, dx\) [1411]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{11/2}} \, dx\) [1412]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{3/2}} \, dx\) [1413]
\(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{3/2}} \, dx\) [1414]
\(\int \genfrac {}{}{}{}{e^{-3 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{11/2}} \, dx\) [1415]
\(\int \genfrac {}{}{}{}{e^{-5 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{27/2}} \, dx\) [1416]
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