3.1 Integrals 1 to 79

\(\int x^3 \text {arctanh}(a+b x)^2 \, dx\) [1]
\(\int x^2 \text {arctanh}(a+b x)^2 \, dx\) [2]
\(\int x \text {arctanh}(a+b x)^2 \, dx\) [3]
\(\int \text {arctanh}(a+b x)^2 \, dx\) [4]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a+b x)^2}{x} \, dx\) [5]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a+b x)^2}{x^2} \, dx\) [6]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a+b x)^2}{x^3} \, dx\) [7]
\(\int \genfrac {}{}{}{}{\text {arctanh}(1+b x)^2}{x} \, dx\) [8]
\(\int (c e+d e x)^3 (a+b \text {arctanh}(c+d x)) \, dx\) [9]
\(\int (c e+d e x)^2 (a+b \text {arctanh}(c+d x)) \, dx\) [10]
\(\int (c e+d e x) (a+b \text {arctanh}(c+d x)) \, dx\) [11]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c+d x)}{c e+d e x} \, dx\) [12]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c+d x)}{(c e+d e x)^2} \, dx\) [13]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c+d x)}{(c e+d e x)^3} \, dx\) [14]
\(\int (c e+d e x)^3 (a+b \text {arctanh}(c+d x))^2 \, dx\) [15]
\(\int (c e+d e x)^2 (a+b \text {arctanh}(c+d x))^2 \, dx\) [16]
\(\int (c e+d e x) (a+b \text {arctanh}(c+d x))^2 \, dx\) [17]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c+d x))^2}{c e+d e x} \, dx\) [18]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c+d x))^2}{(c e+d e x)^2} \, dx\) [19]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c+d x))^2}{(c e+d e x)^3} \, dx\) [20]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c+d x))^2}{(c e+d e x)^4} \, dx\) [21]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c+d x))^2}{(c e+d e x)^5} \, dx\) [22]
\(\int (c e+d e x)^2 (a+b \text {arctanh}(c+d x))^3 \, dx\) [23]
\(\int (c e+d e x) (a+b \text {arctanh}(c+d x))^3 \, dx\) [24]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c+d x))^3}{c e+d e x} \, dx\) [25]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c+d x))^3}{(c e+d e x)^2} \, dx\) [26]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c+d x))^3}{(c e+d e x)^3} \, dx\) [27]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c+d x))^3}{(c e+d e x)^4} \, dx\) [28]
\(\int \genfrac {}{}{}{}{\text {arctanh}(1+x)}{2+2 x} \, dx\) [29]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a+b x)}{\genfrac {}{}{}{}{a d}{b}+d x} \, dx\) [30]
\(\int (e+f x)^3 (a+b \text {arctanh}(c+d x)) \, dx\) [31]
\(\int (e+f x)^2 (a+b \text {arctanh}(c+d x)) \, dx\) [32]
\(\int (e+f x) (a+b \text {arctanh}(c+d x)) \, dx\) [33]
\(\int (a+b \text {arctanh}(c+d x)) \, dx\) [34]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c+d x)}{e+f x} \, dx\) [35]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c+d x)}{(e+f x)^2} \, dx\) [36]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c+d x)}{(e+f x)^3} \, dx\) [37]
\(\int (e+f x)^3 (a+b \text {arctanh}(c+d x))^2 \, dx\) [38]
\(\int (e+f x)^2 (a+b \text {arctanh}(c+d x))^2 \, dx\) [39]
\(\int (e+f x) (a+b \text {arctanh}(c+d x))^2 \, dx\) [40]
\(\int (a+b \text {arctanh}(c+d x))^2 \, dx\) [41]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c+d x))^2}{e+f x} \, dx\) [42]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c+d x))^2}{(e+f x)^2} \, dx\) [43]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c+d x))^2}{(e+f x)^3} \, dx\) [44]
\(\int (e+f x)^2 (a+b \text {arctanh}(c+d x))^3 \, dx\) [45]
\(\int (e+f x) (a+b \text {arctanh}(c+d x))^3 \, dx\) [46]
\(\int (a+b \text {arctanh}(c+d x))^3 \, dx\) [47]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c+d x))^3}{e+f x} \, dx\) [48]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c+d x))^3}{(e+f x)^2} \, dx\) [49]
\(\int (e+f x)^m (a+b \text {arctanh}(c+d x))^3 \, dx\) [50]
\(\int (e+f x)^m (a+b \text {arctanh}(c+d x))^2 \, dx\) [51]
\(\int (e+f x)^m (a+b \text {arctanh}(c+d x)) \, dx\) [52]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a+b x)}{c+d x^3} \, dx\) [53]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a+b x)}{c+d x^2} \, dx\) [54]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a+b x)}{c+d x} \, dx\) [55]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a+b x)}{c+\genfrac {}{}{}{}{d}{x}} \, dx\) [56]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a+b x)}{c+\genfrac {}{}{}{}{d}{x^2}} \, dx\) [57]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a+b x)}{c+\genfrac {}{}{}{}{d}{x^3}} \, dx\) [58]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a+b x)}{1-x^2} \, dx\) [59]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c+d x)}{e+f \sqrt {x}} \, dx\) [60]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a+b x)}{c+d \sqrt {x}} \, dx\) [61]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a+b x)}{c+\genfrac {}{}{}{}{d}{\sqrt {x}}} \, dx\) [62]
\(\int \genfrac {}{}{}{}{x^3 (a+b \text {arctanh}(c+d x))}{e-f x^2} \, dx\) [63]
\(\int \genfrac {}{}{}{}{x^2 (a+b \text {arctanh}(c+d x))}{e-f x^2} \, dx\) [64]
\(\int \genfrac {}{}{}{}{x (a+b \text {arctanh}(c+d x))}{e-f x^2} \, dx\) [65]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c+d x)}{e-f x^2} \, dx\) [66]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c+d x)}{x (e-f x^2)} \, dx\) [67]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c+d x)}{x^2 (e-f x^2)} \, dx\) [68]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c+d x)}{x^3 (e-f x^2)} \, dx\) [69]
\(\int \genfrac {}{}{}{}{x^3 (a+b \text {arctanh}(c+d x))}{e+f x^3} \, dx\) [70]
\(\int \genfrac {}{}{}{}{x^2 (a+b \text {arctanh}(c+d x))}{e+f x^3} \, dx\) [71]
\(\int \genfrac {}{}{}{}{x (a+b \text {arctanh}(c+d x))}{e+f x^3} \, dx\) [72]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c+d x)}{e+f x^3} \, dx\) [73]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c+d x)}{x (e+f x^3)} \, dx\) [74]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c+d x)}{x^2 (e+f x^3)} \, dx\) [75]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c+d x)}{x^3 (e+f x^3)} \, dx\) [76]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c+d x)}{e+f x+g x^2} \, dx\) [77]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c+d x)}{e+f x^2+g x^4} \, dx\) [78]
\(\int \genfrac {}{}{}{}{(c e+d e x) (a+b \text {arctanh}(c+d x))}{1-(c+d x)^2} \, dx\) [79]