3.1 Integrals 1 to 50

\(\int x^3 \coth ^{-1}(a+b x) \, dx\) [1]
\(\int x^2 \coth ^{-1}(a+b x) \, dx\) [2]
\(\int x \coth ^{-1}(a+b x) \, dx\) [3]
\(\int \coth ^{-1}(a+b x) \, dx\) [4]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a+b x)}{x} \, dx\) [5]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a+b x)}{x^2} \, dx\) [6]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a+b x)}{x^3} \, dx\) [7]
\(\int x^3 \coth ^{-1}(a+b x)^2 \, dx\) [8]
\(\int x^2 \coth ^{-1}(a+b x)^2 \, dx\) [9]
\(\int x \coth ^{-1}(a+b x)^2 \, dx\) [10]
\(\int \coth ^{-1}(a+b x)^2 \, dx\) [11]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a+b x)^2}{x} \, dx\) [12]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a+b x)^2}{x^2} \, dx\) [13]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a+b x)^2}{x^3} \, dx\) [14]
\(\int (a+b x) \coth ^{-1}(a+b x) \, dx\) [15]
\(\int (a+b x)^2 \coth ^{-1}(a+b x) \, dx\) [16]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a+b x)}{a+b x} \, dx\) [17]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a+b x)}{(a+b x)^2} \, dx\) [18]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(1+x)}{2+2 x} \, dx\) [19]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a+b x)}{\genfrac {}{}{}{}{a d}{b}+d x} \, dx\) [20]
\(\int (e+f x)^3 (a+b \coth ^{-1}(c+d x)) \, dx\) [21]
\(\int (e+f x)^2 (a+b \coth ^{-1}(c+d x)) \, dx\) [22]
\(\int (e+f x) (a+b \coth ^{-1}(c+d x)) \, dx\) [23]
\(\int (a+b \coth ^{-1}(c+d x)) \, dx\) [24]
\(\int \genfrac {}{}{}{}{a+b \coth ^{-1}(c+d x)}{e+f x} \, dx\) [25]
\(\int \genfrac {}{}{}{}{a+b \coth ^{-1}(c+d x)}{(e+f x)^2} \, dx\) [26]
\(\int \genfrac {}{}{}{}{a+b \coth ^{-1}(c+d x)}{(e+f x)^3} \, dx\) [27]
\(\int (e+f x)^2 (a+b \coth ^{-1}(c+d x))^2 \, dx\) [28]
\(\int (e+f x) (a+b \coth ^{-1}(c+d x))^2 \, dx\) [29]
\(\int (a+b \coth ^{-1}(c+d x))^2 \, dx\) [30]
\(\int \genfrac {}{}{}{}{(a+b \coth ^{-1}(c+d x))^2}{e+f x} \, dx\) [31]
\(\int \genfrac {}{}{}{}{(a+b \coth ^{-1}(c+d x))^2}{(e+f x)^2} \, dx\) [32]
\(\int (e+f x)^2 (a+b \coth ^{-1}(c+d x))^3 \, dx\) [33]
\(\int (e+f x) (a+b \coth ^{-1}(c+d x))^3 \, dx\) [34]
\(\int (a+b \coth ^{-1}(c+d x))^3 \, dx\) [35]
\(\int \genfrac {}{}{}{}{(a+b \coth ^{-1}(c+d x))^3}{e+f x} \, dx\) [36]
\(\int \genfrac {}{}{}{}{(a+b \coth ^{-1}(c+d x))^3}{(e+f x)^2} \, dx\) [37]
\(\int (e+f x)^m (a+b \coth ^{-1}(c+d x)) \, dx\) [38]
\(\int (e+f x)^m (a+b \coth ^{-1}(c+d x))^2 \, dx\) [39]
\(\int (e+f x)^m (a+b \coth ^{-1}(c+d x))^3 \, dx\) [40]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a+b x)}{c+d x^3} \, dx\) [41]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a+b x)}{c+d x^2} \, dx\) [42]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a+b x)}{c+d x} \, dx\) [43]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a+b x)}{c+\genfrac {}{}{}{}{d}{x}} \, dx\) [44]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a+b x)}{c+\genfrac {}{}{}{}{d}{x^2}} \, dx\) [45]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a+b x)}{c+d \sqrt {x}} \, dx\) [46]
\(\int \genfrac {}{}{}{}{\coth ^{-1}(a+b x)}{c+\genfrac {}{}{}{}{d}{\sqrt {x}}} \, dx\) [47]
\(\int \genfrac {}{}{}{}{a+b \coth ^{-1}(c+d x)}{e+f \sqrt {x}} \, dx\) [48]
\(\int \genfrac {}{}{}{}{a+b \coth ^{-1}(c+d x)}{e+f x+g x^2} \, dx\) [49]
\(\int \genfrac {}{}{}{}{a+b \coth ^{-1}(c+d x)}{e+f x^2+g x^4} \, dx\) [50]