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