3.1 Integrals 1 to 57

\(\int \genfrac {}{}{}{}{\text {arcsinh}(c x)}{d+e x} \, dx\) [1]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(c x)^2}{d+e x} \, dx\) [2]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(c x)^3}{d+e x} \, dx\) [3]
\(\int (d+e x)^3 (a+b \text {arcsinh}(c x)) \, dx\) [4]
\(\int (d+e x)^2 (a+b \text {arcsinh}(c x)) \, dx\) [5]
\(\int (d+e x) (a+b \text {arcsinh}(c x)) \, dx\) [6]
\(\int (a+b \text {arcsinh}(c x)) \, dx\) [7]
\(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(c x)}{d+e x} \, dx\) [8]
\(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(c x)}{(d+e x)^2} \, dx\) [9]
\(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(c x)}{(d+e x)^3} \, dx\) [10]
\(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(c x)}{(d+e x)^4} \, dx\) [11]
\(\int (d+e x)^3 (a+b \text {arcsinh}(c x))^2 \, dx\) [12]
\(\int (d+e x)^2 (a+b \text {arcsinh}(c x))^2 \, dx\) [13]
\(\int (d+e x) (a+b \text {arcsinh}(c x))^2 \, dx\) [14]
\(\int (a+b \text {arcsinh}(c x))^2 \, dx\) [15]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(c x))^2}{d+e x} \, dx\) [16]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(c x))^2}{(d+e x)^2} \, dx\) [17]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(c x))^2}{(d+e x)^3} \, dx\) [18]
\(\int \genfrac {}{}{}{}{(d+e x)^3}{a+b \text {arcsinh}(c x)} \, dx\) [19]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{a+b \text {arcsinh}(c x)} \, dx\) [20]
\(\int \genfrac {}{}{}{}{d+e x}{a+b \text {arcsinh}(c x)} \, dx\) [21]
\(\int \genfrac {}{}{}{}{1}{a+b \text {arcsinh}(c x)} \, dx\) [22]
\(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b \text {arcsinh}(c x))} \, dx\) [23]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b \text {arcsinh}(c x))} \, dx\) [24]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b \text {arcsinh}(c x))^2} \, dx\) [25]
\(\int \genfrac {}{}{}{}{d+e x}{(a+b \text {arcsinh}(c x))^2} \, dx\) [26]
\(\int \genfrac {}{}{}{}{1}{(a+b \text {arcsinh}(c x))^2} \, dx\) [27]
\(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b \text {arcsinh}(c x))^2} \, dx\) [28]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b \text {arcsinh}(c x))^2} \, dx\) [29]
\(\int (d+e x)^m (a+b \text {arcsinh}(c x))^2 \, dx\) [30]
\(\int (d+e x)^m (a+b \text {arcsinh}(c x)) \, dx\) [31]
\(\int \genfrac {}{}{}{}{(d+e x)^m}{a+b \text {arcsinh}(c x)} \, dx\) [32]
\(\int \genfrac {}{}{}{}{(d+e x)^m}{(a+b \text {arcsinh}(c x))^2} \, dx\) [33]
\(\int (f+g x)^3 \sqrt {d+c^2 d x^2} (a+b \text {arcsinh}(c x)) \, dx\) [34]
\(\int (f+g x)^2 \sqrt {d+c^2 d x^2} (a+b \text {arcsinh}(c x)) \, dx\) [35]
\(\int (f+g x) \sqrt {d+c^2 d x^2} (a+b \text {arcsinh}(c x)) \, dx\) [36]
\(\int \genfrac {}{}{}{}{\sqrt {d+c^2 d x^2} (a+b \text {arcsinh}(c x))}{f+g x} \, dx\) [37]
\(\int \genfrac {}{}{}{}{\sqrt {d+c^2 d x^2} (a+b \text {arcsinh}(c x))}{(f+g x)^2} \, dx\) [38]
\(\int (f+g x)^3 (d+c^2 d x^2)^{3/2} (a+b \text {arcsinh}(c x)) \, dx\) [39]
\(\int (f+g x)^2 (d+c^2 d x^2)^{3/2} (a+b \text {arcsinh}(c x)) \, dx\) [40]
\(\int (f+g x) (d+c^2 d x^2)^{3/2} (a+b \text {arcsinh}(c x)) \, dx\) [41]
\(\int \genfrac {}{}{}{}{(d+c^2 d x^2)^{3/2} (a+b \text {arcsinh}(c x))}{f+g x} \, dx\) [42]
\(\int (f+g x)^3 (d+c^2 d x^2)^{5/2} (a+b \text {arcsinh}(c x)) \, dx\) [43]
\(\int (f+g x)^2 (d+c^2 d x^2)^{5/2} (a+b \text {arcsinh}(c x)) \, dx\) [44]
\(\int (f+g x) (d+c^2 d x^2)^{5/2} (a+b \text {arcsinh}(c x)) \, dx\) [45]
\(\int \genfrac {}{}{}{}{(d+c^2 d x^2)^{5/2} (a+b \text {arcsinh}(c x))}{f+g x} \, dx\) [46]
\(\int \genfrac {}{}{}{}{(f+g x)^3 (a+b \text {arcsinh}(c x))}{\sqrt {d+c^2 d x^2}} \, dx\) [47]
\(\int \genfrac {}{}{}{}{(f+g x)^2 (a+b \text {arcsinh}(c x))}{\sqrt {d+c^2 d x^2}} \, dx\) [48]
\(\int \genfrac {}{}{}{}{(f+g x) (a+b \text {arcsinh}(c x))}{\sqrt {d+c^2 d x^2}} \, dx\) [49]
\(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(c x)}{\sqrt {d+c^2 d x^2}} \, dx\) [50]
\(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(c x)}{(f+g x) \sqrt {d+c^2 d x^2}} \, dx\) [51]
\(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(c x)}{(f+g x)^2 \sqrt {d+c^2 d x^2}} \, dx\) [52]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(c x))^n \log (h (f+g x)^m)}{\sqrt {1+c^2 x^2}} \, dx\) [53]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(c x))^2 \log (h (f+g x)^m)}{\sqrt {1+c^2 x^2}} \, dx\) [54]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(c x)) \log (h (f+g x)^m)}{\sqrt {1+c^2 x^2}} \, dx\) [55]
\(\int \genfrac {}{}{}{}{\log (h (f+g x)^m)}{\sqrt {1+c^2 x^2}} \, dx\) [56]
\(\int \genfrac {}{}{}{}{\log (h (f+g x)^m)}{\sqrt {1+c^2 x^2} (a+b \text {arcsinh}(c x))} \, dx\) [57]