3.4 Integrals 301 to 361

\(\int \genfrac {}{}{}{}{\text {arctanh}(c+d \coth (a+b x))}{x} \, dx\) [301]
\(\int x^3 \text {arctanh}(1+d+d \coth (a+b x)) \, dx\) [302]
\(\int x^2 \text {arctanh}(1+d+d \coth (a+b x)) \, dx\) [303]
\(\int x \text {arctanh}(1+d+d \coth (a+b x)) \, dx\) [304]
\(\int \text {arctanh}(1+d+d \coth (a+b x)) \, dx\) [305]
\(\int \genfrac {}{}{}{}{\text {arctanh}(1+d+d \coth (a+b x))}{x} \, dx\) [306]
\(\int x^3 \text {arctanh}(1-d-d \coth (a+b x)) \, dx\) [307]
\(\int x^2 \text {arctanh}(1-d-d \coth (a+b x)) \, dx\) [308]
\(\int x \text {arctanh}(1-d-d \coth (a+b x)) \, dx\) [309]
\(\int \text {arctanh}(1-d-d \coth (a+b x)) \, dx\) [310]
\(\int \genfrac {}{}{}{}{\text {arctanh}(1-d-d \coth (a+b x))}{x} \, dx\) [311]
\(\int (e+f x)^3 \text {arctanh}(\tan (a+b x)) \, dx\) [312]
\(\int (e+f x)^2 \text {arctanh}(\tan (a+b x)) \, dx\) [313]
\(\int (e+f x) \text {arctanh}(\tan (a+b x)) \, dx\) [314]
\(\int \text {arctanh}(\tan (a+b x)) \, dx\) [315]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tan (a+b x))}{e+f x} \, dx\) [316]
\(\int x^2 \text {arctanh}(c+d \tan (a+b x)) \, dx\) [317]
\(\int x \text {arctanh}(c+d \tan (a+b x)) \, dx\) [318]
\(\int \text {arctanh}(c+d \tan (a+b x)) \, dx\) [319]
\(\int \genfrac {}{}{}{}{\text {arctanh}(c+d \tan (a+b x))}{x} \, dx\) [320]
\(\int x^2 \text {arctanh}(1-i d+d \tan (a+b x)) \, dx\) [321]
\(\int x \text {arctanh}(1-i d+d \tan (a+b x)) \, dx\) [322]
\(\int \text {arctanh}(1-i d+d \tan (a+b x)) \, dx\) [323]
\(\int \genfrac {}{}{}{}{\text {arctanh}(1-i d+d \tan (a+b x))}{x} \, dx\) [324]
\(\int x^2 \text {arctanh}(1+i d-d \tan (a+b x)) \, dx\) [325]
\(\int x \text {arctanh}(1+i d-d \tan (a+b x)) \, dx\) [326]
\(\int \text {arctanh}(1+i d-d \tan (a+b x)) \, dx\) [327]
\(\int \genfrac {}{}{}{}{\text {arctanh}(1+i d-d \tan (a+b x))}{x} \, dx\) [328]
\(\int (e+f x)^3 \text {arctanh}(\cot (a+b x)) \, dx\) [329]
\(\int (e+f x)^2 \text {arctanh}(\cot (a+b x)) \, dx\) [330]
\(\int (e+f x) \text {arctanh}(\cot (a+b x)) \, dx\) [331]
\(\int \text {arctanh}(\cot (a+b x)) \, dx\) [332]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\cot (a+b x))}{e+f x} \, dx\) [333]
\(\int x^2 \text {arctanh}(c+d \cot (a+b x)) \, dx\) [334]
\(\int x \text {arctanh}(c+d \cot (a+b x)) \, dx\) [335]
\(\int \text {arctanh}(c+d \cot (a+b x)) \, dx\) [336]
\(\int \genfrac {}{}{}{}{\text {arctanh}(c+d \cot (a+b x))}{x} \, dx\) [337]
\(\int x^2 \text {arctanh}(1+i d+d \cot (a+b x)) \, dx\) [338]
\(\int x \text {arctanh}(1+i d+d \cot (a+b x)) \, dx\) [339]
\(\int \text {arctanh}(1+i d+d \cot (a+b x)) \, dx\) [340]
\(\int \genfrac {}{}{}{}{\text {arctanh}(1+i d+d \cot (a+b x))}{x} \, dx\) [341]
\(\int x^2 \text {arctanh}(1-i d-d \cot (a+b x)) \, dx\) [342]
\(\int x \text {arctanh}(1-i d-d \cot (a+b x)) \, dx\) [343]
\(\int \text {arctanh}(1-i d-d \cot (a+b x)) \, dx\) [344]
\(\int \genfrac {}{}{}{}{\text {arctanh}(1-i d-d \cot (a+b x))}{x} \, dx\) [345]
\(\int \text {arctanh}(e^x) \, dx\) [346]
\(\int x \text {arctanh}(e^x) \, dx\) [347]
\(\int x^2 \text {arctanh}(e^x) \, dx\) [348]
\(\int \text {arctanh}(e^{a+b x}) \, dx\) [349]
\(\int x \text {arctanh}(e^{a+b x}) \, dx\) [350]
\(\int x^2 \text {arctanh}(e^{a+b x}) \, dx\) [351]
\(\int \text {arctanh}(a+b f^{c+d x}) \, dx\) [352]
\(\int x \text {arctanh}(a+b f^{c+d x}) \, dx\) [353]
\(\int x^2 \text {arctanh}(a+b f^{c+d x}) \, dx\) [354]
\(\int e^{c (a+b x)} \text {arctanh}(\sinh (a c+b c x)) \, dx\) [355]
\(\int e^{c (a+b x)} \text {arctanh}(\cosh (a c+b c x)) \, dx\) [356]
\(\int e^{c (a+b x)} \text {arctanh}(\tanh (a c+b c x)) \, dx\) [357]
\(\int e^{c (a+b x)} \text {arctanh}(\coth (a c+b c x)) \, dx\) [358]
\(\int e^{c (a+b x)} \text {arctanh}(\text {sech}(a c+b c x)) \, dx\) [359]
\(\int e^{c (a+b x)} \text {arctanh}(\text {csch}(a c+b c x)) \, dx\) [360]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x^n)) (d+e \log (f x^m))}{x} \, dx\) [361]