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Chapter 3
Listing of integrals
3.1
\(\int x^3 \text{csch}^{-1}(a+b x) \, dx\)
3.2
\(\int x^2 \text{csch}^{-1}(a+b x) \, dx\)
3.3
\(\int x \text{csch}^{-1}(a+b x) \, dx\)
3.4
\(\int \frac{\text{csch}^{-1}(a+b x)}{x} \, dx\)
3.5
\(\int \frac{\text{csch}^{-1}(a+b x)}{x^2} \, dx\)
3.6
\(\int \frac{\text{csch}^{-1}(a+b x)}{x^3} \, dx\)
3.7
\(\int (e+f x)^3 (a+b \text{csch}^{-1}(c+d x))^2 \, dx\)
3.8
\(\int (e+f x)^2 (a+b \text{csch}^{-1}(c+d x))^2 \, dx\)
3.9
\(\int (e+f x) (a+b \text{csch}^{-1}(c+d x))^2 \, dx\)
3.10
\(\int (a+b \text{csch}^{-1}(c+d x))^2 \, dx\)
3.11
\(\int \frac{(a+b \text{csch}^{-1}(c+d x))^2}{e+f x} \, dx\)
3.12
\(\int \frac{(a+b \text{csch}^{-1}(c+d x))^2}{(e+f x)^2} \, dx\)
3.13
\(\int \frac{(a+b \text{csch}^{-1}(c+d x))^2}{(e+f x)^3} \, dx\)
3.14
\(\int x^3 \text{csch}^{-1}(\sqrt{x}) \, dx\)
3.15
\(\int x^2 \text{csch}^{-1}(\sqrt{x}) \, dx\)
3.16
\(\int x \text{csch}^{-1}(\sqrt{x}) \, dx\)
3.17
\(\int \text{csch}^{-1}(\sqrt{x}) \, dx\)
3.18
\(\int \frac{\text{csch}^{-1}(\sqrt{x})}{x} \, dx\)
3.19
\(\int \frac{\text{csch}^{-1}(\sqrt{x})}{x^2} \, dx\)
3.20
\(\int \frac{\text{csch}^{-1}(\sqrt{x})}{x^3} \, dx\)
3.21
\(\int \frac{\text{csch}^{-1}(\sqrt{x})}{x^4} \, dx\)
3.22
\(\int \text{csch}^{-1}(\frac{1}{x}) \, dx\)
3.23
\(\int \frac{\text{csch}^{-1}(a x^n)}{x} \, dx\)
3.24
\(\int \frac{\text{csch}^{-1}(a x^5)}{x} \, dx\)
3.25
\(\int \text{csch}^{-1}(c e^{a+b x}) \, dx\)
3.26
\(\int e^{\text{csch}^{-1}(a x)} x^m \, dx\)
3.27
\(\int e^{\text{csch}^{-1}(a x)} x^4 \, dx\)
3.28
\(\int e^{\text{csch}^{-1}(a x)} x^3 \, dx\)
3.29
\(\int e^{\text{csch}^{-1}(a x)} x^2 \, dx\)
3.30
\(\int e^{\text{csch}^{-1}(a x)} x \, dx\)
3.31
\(\int e^{\text{csch}^{-1}(a x)} \, dx\)
3.32
\(\int \frac{e^{\text{csch}^{-1}(a x)}}{x} \, dx\)
3.33
\(\int \frac{e^{\text{csch}^{-1}(a x)}}{x^2} \, dx\)
3.34
\(\int \frac{e^{\text{csch}^{-1}(a x)}}{x^3} \, dx\)
3.35
\(\int \frac{e^{\text{csch}^{-1}(a x)}}{x^4} \, dx\)
3.36
\(\int \frac{e^{\text{csch}^{-1}(a x)}}{x^5} \, dx\)
3.37
\(\int e^{\text{csch}^{-1}(a x^2)} x^m \, dx\)
3.38
\(\int e^{\text{csch}^{-1}(a x^2)} x^4 \, dx\)
3.39
\(\int e^{\text{csch}^{-1}(a x^2)} x^3 \, dx\)
3.40
\(\int e^{\text{csch}^{-1}(a x^2)} x^2 \, dx\)
3.41
\(\int e^{\text{csch}^{-1}(a x^2)} x \, dx\)
3.42
\(\int e^{\text{csch}^{-1}(a x^2)} \, dx\)
3.43
\(\int \frac{e^{\text{csch}^{-1}(a x^2)}}{x} \, dx\)
3.44
\(\int \frac{e^{\text{csch}^{-1}(a x^2)}}{x^2} \, dx\)
3.45
\(\int \frac{e^{\text{csch}^{-1}(a x^2)}}{x^3} \, dx\)
3.46
\(\int \frac{e^{\text{csch}^{-1}(a x^2)}}{x^4} \, dx\)
3.47
\(\int \frac{e^{\text{csch}^{-1}(a x^2)}}{x^5} \, dx\)
3.48
\(\int e^{2 \text{csch}^{-1}(a x)} x^m \, dx\)
3.49
\(\int e^{2 \text{csch}^{-1}(a x)} x^4 \, dx\)
3.50
\(\int e^{2 \text{csch}^{-1}(a x)} x^3 \, dx\)
3.51
\(\int e^{2 \text{csch}^{-1}(a x)} x^2 \, dx\)
3.52
\(\int e^{2 \text{csch}^{-1}(a x)} x \, dx\)
3.53
\(\int e^{2 \text{csch}^{-1}(a x)} \, dx\)
3.54
\(\int \frac{e^{2 \text{csch}^{-1}(a x)}}{x} \, dx\)
3.55
\(\int \frac{e^{2 \text{csch}^{-1}(a x)}}{x^2} \, dx\)
3.56
\(\int \frac{e^{2 \text{csch}^{-1}(a x)}}{x^3} \, dx\)
3.57
\(\int \frac{e^{2 \text{csch}^{-1}(a x)}}{x^4} \, dx\)
3.58
\(\int \frac{e^{2 \text{csch}^{-1}(a x)}}{x^5} \, dx\)
3.59
\(\int \frac{e^{\text{csch}^{-1}(c x)} (d x)^m}{1+c^2 x^2} \, dx\)
3.60
\(\int \frac{e^{\text{csch}^{-1}(c x)} x^5}{1+c^2 x^2} \, dx\)
3.61
\(\int \frac{e^{\text{csch}^{-1}(c x)} x^4}{1+c^2 x^2} \, dx\)
3.62
\(\int \frac{e^{\text{csch}^{-1}(c x)} x^3}{1+c^2 x^2} \, dx\)
3.63
\(\int \frac{e^{\text{csch}^{-1}(c x)} x^2}{1+c^2 x^2} \, dx\)
3.64
\(\int \frac{e^{\text{csch}^{-1}(c x)} x}{1+c^2 x^2} \, dx\)
3.65
\(\int \frac{e^{\text{csch}^{-1}(c x)}}{1+c^2 x^2} \, dx\)
3.66
\(\int \frac{e^{\text{csch}^{-1}(c x)}}{x (1+c^2 x^2)} \, dx\)
3.67
\(\int \frac{e^{\text{csch}^{-1}(c x)}}{x^2 (1+c^2 x^2)} \, dx\)
3.68
\(\int \frac{e^{\text{csch}^{-1}(c x)}}{x^3 (1+c^2 x^2)} \, dx\)
3.69
\(\int \frac{\text{csch}^{-1}(a+b x)}{\frac{a d}{b}+d x} \, dx\)
3.70
\(\int x^3 \text{csch}^{-1}(a+b x^4) \, dx\)
3.71
\(\int x^{-1+n} \text{csch}^{-1}(a+b x^n) \, dx\)
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