3.1 Integrals 1 to 71

3.1.1 \(\int x^3 \text {csch}^{-1}(a+b x) \, dx\) [1]
3.1.2 \(\int x^2 \text {csch}^{-1}(a+b x) \, dx\) [2]
3.1.3 \(\int x \text {csch}^{-1}(a+b x) \, dx\) [3]
3.1.4 \(\int \genfrac {}{}{}{}{\text {csch}^{-1}(a+b x)}{x} \, dx\) [4]
3.1.5 \(\int \genfrac {}{}{}{}{\text {csch}^{-1}(a+b x)}{x^2} \, dx\) [5]
3.1.6 \(\int \genfrac {}{}{}{}{\text {csch}^{-1}(a+b x)}{x^3} \, dx\) [6]
3.1.7 \(\int (e+f x)^3 (a+b \text {csch}^{-1}(c+d x))^2 \, dx\) [7]
3.1.8 \(\int (e+f x)^2 (a+b \text {csch}^{-1}(c+d x))^2 \, dx\) [8]
3.1.9 \(\int (e+f x) (a+b \text {csch}^{-1}(c+d x))^2 \, dx\) [9]
3.1.10 \(\int (a+b \text {csch}^{-1}(c+d x))^2 \, dx\) [10]
3.1.11 \(\int \genfrac {}{}{}{}{(a+b \text {csch}^{-1}(c+d x))^2}{e+f x} \, dx\) [11]
3.1.12 \(\int \genfrac {}{}{}{}{(a+b \text {csch}^{-1}(c+d x))^2}{(e+f x)^2} \, dx\) [12]
3.1.13 \(\int \genfrac {}{}{}{}{(a+b \text {csch}^{-1}(c+d x))^2}{(e+f x)^3} \, dx\) [13]
3.1.14 \(\int x^3 \text {csch}^{-1}(\sqrt {x}) \, dx\) [14]
3.1.15 \(\int x^2 \text {csch}^{-1}(\sqrt {x}) \, dx\) [15]
3.1.16 \(\int x \text {csch}^{-1}(\sqrt {x}) \, dx\) [16]
3.1.17 \(\int \text {csch}^{-1}(\sqrt {x}) \, dx\) [17]
3.1.18 \(\int \genfrac {}{}{}{}{\text {csch}^{-1}(\sqrt {x})}{x} \, dx\) [18]
3.1.19 \(\int \genfrac {}{}{}{}{\text {csch}^{-1}(\sqrt {x})}{x^2} \, dx\) [19]
3.1.20 \(\int \genfrac {}{}{}{}{\text {csch}^{-1}(\sqrt {x})}{x^3} \, dx\) [20]
3.1.21 \(\int \genfrac {}{}{}{}{\text {csch}^{-1}(\sqrt {x})}{x^4} \, dx\) [21]
3.1.22 \(\int \text {csch}^{-1}(\genfrac {}{}{}{}{1}{x}) \, dx\) [22]
3.1.23 \(\int \genfrac {}{}{}{}{\text {csch}^{-1}(a x^n)}{x} \, dx\) [23]
3.1.24 \(\int \genfrac {}{}{}{}{\text {csch}^{-1}(a x^5)}{x} \, dx\) [24]
3.1.25 \(\int \text {csch}^{-1}(c e^{a+b x}) \, dx\) [25]
3.1.26 \(\int e^{\text {csch}^{-1}(a x)} x^m \, dx\) [26]
3.1.27 \(\int e^{\text {csch}^{-1}(a x)} x^4 \, dx\) [27]
3.1.28 \(\int e^{\text {csch}^{-1}(a x)} x^3 \, dx\) [28]
3.1.29 \(\int e^{\text {csch}^{-1}(a x)} x^2 \, dx\) [29]
3.1.30 \(\int e^{\text {csch}^{-1}(a x)} x \, dx\) [30]
3.1.31 \(\int e^{\text {csch}^{-1}(a x)} \, dx\) [31]
3.1.32 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(a x)}}{x} \, dx\) [32]
3.1.33 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(a x)}}{x^2} \, dx\) [33]
3.1.34 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(a x)}}{x^3} \, dx\) [34]
3.1.35 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(a x)}}{x^4} \, dx\) [35]
3.1.36 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(a x)}}{x^5} \, dx\) [36]
3.1.37 \(\int e^{\text {csch}^{-1}(a x^2)} x^m \, dx\) [37]
3.1.38 \(\int e^{\text {csch}^{-1}(a x^2)} x^4 \, dx\) [38]
3.1.39 \(\int e^{\text {csch}^{-1}(a x^2)} x^3 \, dx\) [39]
3.1.40 \(\int e^{\text {csch}^{-1}(a x^2)} x^2 \, dx\) [40]
3.1.41 \(\int e^{\text {csch}^{-1}(a x^2)} x \, dx\) [41]
3.1.42 \(\int e^{\text {csch}^{-1}(a x^2)} \, dx\) [42]
3.1.43 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(a x^2)}}{x} \, dx\) [43]
3.1.44 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(a x^2)}}{x^2} \, dx\) [44]
3.1.45 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(a x^2)}}{x^3} \, dx\) [45]
3.1.46 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(a x^2)}}{x^4} \, dx\) [46]
3.1.47 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(a x^2)}}{x^5} \, dx\) [47]
3.1.48 \(\int e^{2 \text {csch}^{-1}(a x)} x^m \, dx\) [48]
3.1.49 \(\int e^{2 \text {csch}^{-1}(a x)} x^4 \, dx\) [49]
3.1.50 \(\int e^{2 \text {csch}^{-1}(a x)} x^3 \, dx\) [50]
3.1.51 \(\int e^{2 \text {csch}^{-1}(a x)} x^2 \, dx\) [51]
3.1.52 \(\int e^{2 \text {csch}^{-1}(a x)} x \, dx\) [52]
3.1.53 \(\int e^{2 \text {csch}^{-1}(a x)} \, dx\) [53]
3.1.54 \(\int \genfrac {}{}{}{}{e^{2 \text {csch}^{-1}(a x)}}{x} \, dx\) [54]
3.1.55 \(\int \genfrac {}{}{}{}{e^{2 \text {csch}^{-1}(a x)}}{x^2} \, dx\) [55]
3.1.56 \(\int \genfrac {}{}{}{}{e^{2 \text {csch}^{-1}(a x)}}{x^3} \, dx\) [56]
3.1.57 \(\int \genfrac {}{}{}{}{e^{2 \text {csch}^{-1}(a x)}}{x^4} \, dx\) [57]
3.1.58 \(\int \genfrac {}{}{}{}{e^{2 \text {csch}^{-1}(a x)}}{x^5} \, dx\) [58]
3.1.59 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(c x)} (d x)^m}{1+c^2 x^2} \, dx\) [59]
3.1.60 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(c x)} x^5}{1+c^2 x^2} \, dx\) [60]
3.1.61 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(c x)} x^4}{1+c^2 x^2} \, dx\) [61]
3.1.62 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(c x)} x^3}{1+c^2 x^2} \, dx\) [62]
3.1.63 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(c x)} x^2}{1+c^2 x^2} \, dx\) [63]
3.1.64 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(c x)} x}{1+c^2 x^2} \, dx\) [64]
3.1.65 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(c x)}}{1+c^2 x^2} \, dx\) [65]
3.1.66 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(c x)}}{x (1+c^2 x^2)} \, dx\) [66]
3.1.67 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(c x)}}{x^2 (1+c^2 x^2)} \, dx\) [67]
3.1.68 \(\int \genfrac {}{}{}{}{e^{\text {csch}^{-1}(c x)}}{x^3 (1+c^2 x^2)} \, dx\) [68]
3.1.69 \(\int \genfrac {}{}{}{}{\text {csch}^{-1}(a+b x)}{\genfrac {}{}{}{}{a d}{b}+d x} \, dx\) [69]
3.1.70 \(\int x^3 \text {csch}^{-1}(a+b x^4) \, dx\) [70]
3.1.71 \(\int x^{-1+n} \text {csch}^{-1}(a+b x^n) \, dx\) [71]