3.4 Integrals 301 to 400

\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^2 \text {arctanh}(a x)^8} \, dx\) [301]
\(\int \genfrac {}{}{}{}{x^3 \text {arctanh}(a x)}{(1-a^2 x^2)^3} \, dx\) [302]
\(\int \genfrac {}{}{}{}{x^2 \text {arctanh}(a x)}{(1-a^2 x^2)^3} \, dx\) [303]
\(\int \genfrac {}{}{}{}{x \text {arctanh}(a x)}{(1-a^2 x^2)^3} \, dx\) [304]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{(1-a^2 x^2)^3} \, dx\) [305]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{x (1-a^2 x^2)^3} \, dx\) [306]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{x^2 (1-a^2 x^2)^3} \, dx\) [307]
\(\int \genfrac {}{}{}{}{x^3 \text {arctanh}(a x)^2}{(1-a^2 x^2)^3} \, dx\) [308]
\(\int \genfrac {}{}{}{}{x^2 \text {arctanh}(a x)^2}{(1-a^2 x^2)^3} \, dx\) [309]
\(\int \genfrac {}{}{}{}{x \text {arctanh}(a x)^2}{(1-a^2 x^2)^3} \, dx\) [310]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^2}{(1-a^2 x^2)^3} \, dx\) [311]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^2}{x (1-a^2 x^2)^3} \, dx\) [312]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^2}{x^2 (1-a^2 x^2)^3} \, dx\) [313]
\(\int \genfrac {}{}{}{}{x^3 \text {arctanh}(a x)^3}{(1-a^2 x^2)^3} \, dx\) [314]
\(\int \genfrac {}{}{}{}{x^2 \text {arctanh}(a x)^3}{(1-a^2 x^2)^3} \, dx\) [315]
\(\int \genfrac {}{}{}{}{x \text {arctanh}(a x)^3}{(1-a^2 x^2)^3} \, dx\) [316]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^3}{(1-a^2 x^2)^3} \, dx\) [317]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^3}{x (1-a^2 x^2)^3} \, dx\) [318]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^3}{x^2 (1-a^2 x^2)^3} \, dx\) [319]
\(\int \genfrac {}{}{}{}{\sqrt {\text {arctanh}(a x)}}{(1-a^2 x^2)^3} \, dx\) [320]
\(\int \genfrac {}{}{}{}{x^6}{(1-a^2 x^2)^3 \text {arctanh}(a x)} \, dx\) [321]
\(\int \genfrac {}{}{}{}{x^5}{(1-a^2 x^2)^3 \text {arctanh}(a x)} \, dx\) [322]
\(\int \genfrac {}{}{}{}{x^4}{(1-a^2 x^2)^3 \text {arctanh}(a x)} \, dx\) [323]
\(\int \genfrac {}{}{}{}{x^3}{(1-a^2 x^2)^3 \text {arctanh}(a x)} \, dx\) [324]
\(\int \genfrac {}{}{}{}{x^2}{(1-a^2 x^2)^3 \text {arctanh}(a x)} \, dx\) [325]
\(\int \genfrac {}{}{}{}{x}{(1-a^2 x^2)^3 \text {arctanh}(a x)} \, dx\) [326]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^3 \text {arctanh}(a x)} \, dx\) [327]
\(\int \genfrac {}{}{}{}{1}{x (1-a^2 x^2)^3 \text {arctanh}(a x)} \, dx\) [328]
\(\int \genfrac {}{}{}{}{x^5}{(1-a^2 x^2)^3 \text {arctanh}(a x)^2} \, dx\) [329]
\(\int \genfrac {}{}{}{}{x^4}{(1-a^2 x^2)^3 \text {arctanh}(a x)^2} \, dx\) [330]
\(\int \genfrac {}{}{}{}{x^3}{(1-a^2 x^2)^3 \text {arctanh}(a x)^2} \, dx\) [331]
\(\int \genfrac {}{}{}{}{x^2}{(1-a^2 x^2)^3 \text {arctanh}(a x)^2} \, dx\) [332]
\(\int \genfrac {}{}{}{}{x}{(1-a^2 x^2)^3 \text {arctanh}(a x)^2} \, dx\) [333]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^3 \text {arctanh}(a x)^2} \, dx\) [334]
\(\int \genfrac {}{}{}{}{1}{x (1-a^2 x^2)^3 \text {arctanh}(a x)^2} \, dx\) [335]
\(\int \genfrac {}{}{}{}{x^4}{(1-a^2 x^2)^3 \text {arctanh}(a x)^3} \, dx\) [336]
\(\int \genfrac {}{}{}{}{x^3}{(1-a^2 x^2)^3 \text {arctanh}(a x)^3} \, dx\) [337]
\(\int \genfrac {}{}{}{}{x^2}{(1-a^2 x^2)^3 \text {arctanh}(a x)^3} \, dx\) [338]
\(\int \genfrac {}{}{}{}{x}{(1-a^2 x^2)^3 \text {arctanh}(a x)^3} \, dx\) [339]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^3 \text {arctanh}(a x)^3} \, dx\) [340]
\(\int \genfrac {}{}{}{}{1}{x (1-a^2 x^2)^3 \text {arctanh}(a x)^3} \, dx\) [341]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^3 \text {arctanh}(a x)^4} \, dx\) [342]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^3 \text {arctanh}(a x)^5} \, dx\) [343]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^3 \text {arctanh}(a x)^6} \, dx\) [344]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{(1-a^2 x^2)^4} \, dx\) [345]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^2}{(1-a^2 x^2)^4} \, dx\) [346]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^3}{(1-a^2 x^2)^4} \, dx\) [347]
\(\int \genfrac {}{}{}{}{\sqrt {\text {arctanh}(a x)}}{(1-a^2 x^2)^4} \, dx\) [348]
\(\int \genfrac {}{}{}{}{x^8}{(1-a^2 x^2)^4 \text {arctanh}(a x)} \, dx\) [349]
\(\int \genfrac {}{}{}{}{x^7}{(1-a^2 x^2)^4 \text {arctanh}(a x)} \, dx\) [350]
\(\int \genfrac {}{}{}{}{x^6}{(1-a^2 x^2)^4 \text {arctanh}(a x)} \, dx\) [351]
\(\int \genfrac {}{}{}{}{x^5}{(1-a^2 x^2)^4 \text {arctanh}(a x)} \, dx\) [352]
\(\int \genfrac {}{}{}{}{x^4}{(1-a^2 x^2)^4 \text {arctanh}(a x)} \, dx\) [353]
\(\int \genfrac {}{}{}{}{x^3}{(1-a^2 x^2)^4 \text {arctanh}(a x)} \, dx\) [354]
\(\int \genfrac {}{}{}{}{x^2}{(1-a^2 x^2)^4 \text {arctanh}(a x)} \, dx\) [355]
\(\int \genfrac {}{}{}{}{x}{(1-a^2 x^2)^4 \text {arctanh}(a x)} \, dx\) [356]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^4 \text {arctanh}(a x)} \, dx\) [357]
\(\int \genfrac {}{}{}{}{1}{x (1-a^2 x^2)^4 \text {arctanh}(a x)} \, dx\) [358]
\(\int \genfrac {}{}{}{}{1}{x^2 (1-a^2 x^2)^4 \text {arctanh}(a x)} \, dx\) [359]
\(\int \genfrac {}{}{}{}{x}{(1-a^2 x^2)^4 \text {arctanh}(a x)^2} \, dx\) [360]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^4 \text {arctanh}(a x)^2} \, dx\) [361]
\(\int \genfrac {}{}{}{}{x}{(1-a^2 x^2)^4 \text {arctanh}(a x)^3} \, dx\) [362]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^4 \text {arctanh}(a x)^3} \, dx\) [363]
\(\int \genfrac {}{}{}{}{x^5 \text {arctanh}(a x)}{\sqrt {1-a^2 x^2}} \, dx\) [364]
\(\int \genfrac {}{}{}{}{x^4 \text {arctanh}(a x)}{\sqrt {1-a^2 x^2}} \, dx\) [365]
\(\int \genfrac {}{}{}{}{x^3 \text {arctanh}(a x)}{\sqrt {1-a^2 x^2}} \, dx\) [366]
\(\int \genfrac {}{}{}{}{x^2 \text {arctanh}(a x)}{\sqrt {1-a^2 x^2}} \, dx\) [367]
\(\int \genfrac {}{}{}{}{x \text {arctanh}(a x)}{\sqrt {1-a^2 x^2}} \, dx\) [368]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{\sqrt {1-a^2 x^2}} \, dx\) [369]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{x \sqrt {1-a^2 x^2}} \, dx\) [370]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{x^2 \sqrt {1-a^2 x^2}} \, dx\) [371]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{x^3 \sqrt {1-a^2 x^2}} \, dx\) [372]
\(\int \genfrac {}{}{}{}{x^3 \text {arctanh}(a x)^2}{\sqrt {1-a^2 x^2}} \, dx\) [373]
\(\int \genfrac {}{}{}{}{x^2 \text {arctanh}(a x)^2}{\sqrt {1-a^2 x^2}} \, dx\) [374]
\(\int \genfrac {}{}{}{}{x \text {arctanh}(a x)^2}{\sqrt {1-a^2 x^2}} \, dx\) [375]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^2}{\sqrt {1-a^2 x^2}} \, dx\) [376]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^2}{x \sqrt {1-a^2 x^2}} \, dx\) [377]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^2}{x^2 \sqrt {1-a^2 x^2}} \, dx\) [378]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^2}{x^3 \sqrt {1-a^2 x^2}} \, dx\) [379]
\(\int \genfrac {}{}{}{}{x^3 \text {arctanh}(a x)^3}{\sqrt {1-a^2 x^2}} \, dx\) [380]
\(\int \genfrac {}{}{}{}{x^2 \text {arctanh}(a x)^3}{\sqrt {1-a^2 x^2}} \, dx\) [381]
\(\int \genfrac {}{}{}{}{x \text {arctanh}(a x)^3}{\sqrt {1-a^2 x^2}} \, dx\) [382]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^3}{\sqrt {1-a^2 x^2}} \, dx\) [383]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^3}{x \sqrt {1-a^2 x^2}} \, dx\) [384]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^3}{x^2 \sqrt {1-a^2 x^2}} \, dx\) [385]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^3}{x^3 \sqrt {1-a^2 x^2}} \, dx\) [386]
\(\int \genfrac {}{}{}{}{x^m \text {arctanh}(a x)}{(1-a^2 x^2)^{3/2}} \, dx\) [387]
\(\int \genfrac {}{}{}{}{x^3 \text {arctanh}(a x)}{(1-a^2 x^2)^{3/2}} \, dx\) [388]
\(\int \genfrac {}{}{}{}{x^2 \text {arctanh}(a x)}{(1-a^2 x^2)^{3/2}} \, dx\) [389]
\(\int \genfrac {}{}{}{}{x \text {arctanh}(a x)}{(1-a^2 x^2)^{3/2}} \, dx\) [390]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{(1-a^2 x^2)^{3/2}} \, dx\) [391]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{x (1-a^2 x^2)^{3/2}} \, dx\) [392]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{x^2 (1-a^2 x^2)^{3/2}} \, dx\) [393]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{x^3 (1-a^2 x^2)^{3/2}} \, dx\) [394]
\(\int \genfrac {}{}{}{}{x^m \text {arctanh}(a x)^2}{(1-a^2 x^2)^{3/2}} \, dx\) [395]
\(\int \genfrac {}{}{}{}{x^3 \text {arctanh}(a x)^2}{(1-a^2 x^2)^{3/2}} \, dx\) [396]
\(\int \genfrac {}{}{}{}{x^2 \text {arctanh}(a x)^2}{(1-a^2 x^2)^{3/2}} \, dx\) [397]
\(\int \genfrac {}{}{}{}{x \text {arctanh}(a x)^2}{(1-a^2 x^2)^{3/2}} \, dx\) [398]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^2}{(1-a^2 x^2)^{3/2}} \, dx\) [399]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^2}{x (1-a^2 x^2)^{3/2}} \, dx\) [400]