3.1 Integrals 1 to 27

\(\int (c+d x^2)^4 \coth ^{-1}(a x) \, dx\) [1]
\(\int (c+d x^2)^3 \coth ^{-1}(a x) \, dx\) [2]
\(\int (c+d x^2)^2 \coth ^{-1}(a x) \, dx\) [3]
\(\int (c+d x^2) \coth ^{-1}(a x) \, dx\) [4]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a x)}{c+d x^2} \, dx\) [5]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a x)}{(c+d x^2)^2} \, dx\) [6]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a x)}{(c+d x^2)^3} \, dx\) [7]
\(\int \sqrt {a-a x^2} \coth ^{-1}(x) \, dx\) [8]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(x)}{\sqrt {a-a x^2}} \, dx\) [9]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(x)}{(a-a x^2)^{3/2}} \, dx\) [10]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(x)}{(a-a x^2)^{5/2}} \, dx\) [11]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(x)}{(a-a x^2)^{7/2}} \, dx\) [12]
\(\int \sqrt {c+d x^2} \coth ^{-1}(a x) \, dx\) [13]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a x)}{\sqrt {c+d x^2}} \, dx\) [14]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a x)}{(c+d x^2)^{3/2}} \, dx\) [15]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a x)}{(c+d x^2)^{5/2}} \, dx\) [16]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a x)}{(c+d x^2)^{7/2}} \, dx\) [17]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a x)}{(c+d x^2)^{9/2}} \, dx\) [18]
\(\int \genfrac {}{}{}{}{1}{(1-x^2) \coth ^{-1}(x)} \, dx\) [19]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(x)^2}{(1-x^2)^2} \, dx\) [20]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(x)^n}{1-x^2} \, dx\) [21]
\(\int \genfrac {}{}{}{}{x \coth ^{-1}(x)}{1-x^2} \, dx\) [22]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(x)}{1-x^2} \, dx\) [23]
\(\int \genfrac {}{}{}{}{x \coth ^{-1}(x)}{(1-x^2)^2} \, dx\) [24]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(x)}{(1-x^2)^2} \, dx\) [25]
\(\int \genfrac {}{}{}{}{x \coth ^{-1}(x)}{(1-x^2)^3} \, dx\) [26]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(x)}{(1-x^2)^3} \, dx\) [27]