Chapter 3
Listing of integrals

 3.1 \(\int x^3 \text{sech}^{-1}(a+b x) \, dx\)
 3.2 \(\int x^2 \text{sech}^{-1}(a+b x) \, dx\)
 3.3 \(\int x \text{sech}^{-1}(a+b x) \, dx\)
 3.4 \(\int \text{sech}^{-1}(a+b x) \, dx\)
 3.5 \(\int \frac{\text{sech}^{-1}(a+b x)}{x} \, dx\)
 3.6 \(\int \frac{\text{sech}^{-1}(a+b x)}{x^2} \, dx\)
 3.7 \(\int \frac{\text{sech}^{-1}(a+b x)}{x^3} \, dx\)
 3.8 \(\int \frac{\text{sech}^{-1}(a+b x)}{x^4} \, dx\)
 3.9 \(\int x^2 \text{sech}^{-1}(a+b x)^2 \, dx\)
 3.10 \(\int x \text{sech}^{-1}(a+b x)^2 \, dx\)
 3.11 \(\int \text{sech}^{-1}(a+b x)^2 \, dx\)
 3.12 \(\int \frac{\text{sech}^{-1}(a+b x)^2}{x} \, dx\)
 3.13 \(\int \frac{\text{sech}^{-1}(a+b x)^2}{x^2} \, dx\)
 3.14 \(\int \frac{\text{sech}^{-1}(a+b x)^2}{x^3} \, dx\)
 3.15 \(\int x \text{sech}^{-1}(a+b x)^3 \, dx\)
 3.16 \(\int \text{sech}^{-1}(a+b x)^3 \, dx\)
 3.17 \(\int \frac{\text{sech}^{-1}(a+b x)^3}{x} \, dx\)
 3.18 \(\int \frac{\text{sech}^{-1}(a+b x)^3}{x^2} \, dx\)
 3.19 \(\int \frac{\text{sech}^{-1}(a+b x)^3}{x^3} \, dx\)
 3.20 \(\int x^3 \text{sech}^{-1}(\sqrt{x}) \, dx\)
 3.21 \(\int x^2 \text{sech}^{-1}(\sqrt{x}) \, dx\)
 3.22 \(\int x \text{sech}^{-1}(\sqrt{x}) \, dx\)
 3.23 \(\int \text{sech}^{-1}(\sqrt{x}) \, dx\)
 3.24 \(\int \frac{\text{sech}^{-1}(\sqrt{x})}{x} \, dx\)
 3.25 \(\int \frac{\text{sech}^{-1}(\sqrt{x})}{x^2} \, dx\)
 3.26 \(\int \frac{\text{sech}^{-1}(\sqrt{x})}{x^3} \, dx\)
 3.27 \(\int \frac{\text{sech}^{-1}(\sqrt{x})}{x^4} \, dx\)
 3.28 \(\int \text{sech}^{-1}(\frac{1}{x}) \, dx\)
 3.29 \(\int \frac{\text{sech}^{-1}(a x^n)}{x} \, dx\)
 3.30 \(\int \frac{\text{sech}^{-1}(a x^5)}{x} \, dx\)
 3.31 \(\int \text{sech}^{-1}(c e^{a+b x}) \, dx\)
 3.32 \(\int e^{\text{sech}^{-1}(a x)} x^4 \, dx\)
 3.33 \(\int e^{\text{sech}^{-1}(a x)} x^3 \, dx\)
 3.34 \(\int e^{\text{sech}^{-1}(a x)} x^2 \, dx\)
 3.35 \(\int e^{\text{sech}^{-1}(a x)} x \, dx\)
 3.36 \(\int e^{\text{sech}^{-1}(a x)} \, dx\)
 3.37 \(\int \frac{e^{\text{sech}^{-1}(a x)}}{x} \, dx\)
 3.38 \(\int \frac{e^{\text{sech}^{-1}(a x)}}{x^2} \, dx\)
 3.39 \(\int \frac{e^{\text{sech}^{-1}(a x)}}{x^3} \, dx\)
 3.40 \(\int \frac{e^{\text{sech}^{-1}(a x)}}{x^4} \, dx\)
 3.41 \(\int \frac{e^{\text{sech}^{-1}(a x)}}{x^5} \, dx\)
 3.42 \(\int \frac{e^{\text{sech}^{-1}(a x)}}{x^6} \, dx\)
 3.43 \(\int \frac{e^{\text{sech}^{-1}(a x)}}{x^7} \, dx\)
 3.44 \(\int \frac{e^{\text{sech}^{-1}(a x)}}{x^8} \, dx\)
 3.45 \(\int e^{\text{sech}^{-1}(a x^2)} x^7 \, dx\)
 3.46 \(\int e^{\text{sech}^{-1}(a x^2)} x^6 \, dx\)
 3.47 \(\int e^{\text{sech}^{-1}(a x^2)} x^5 \, dx\)
 3.48 \(\int e^{\text{sech}^{-1}(a x^2)} x^4 \, dx\)
 3.49 \(\int e^{\text{sech}^{-1}(a x^2)} x^3 \, dx\)
 3.50 \(\int e^{\text{sech}^{-1}(a x^2)} x^2 \, dx\)
 3.51 \(\int e^{\text{sech}^{-1}(a x^2)} x \, dx\)
 3.52 \(\int e^{\text{sech}^{-1}(a x^2)} \, dx\)
 3.53 \(\int \frac{e^{\text{sech}^{-1}(a x^2)}}{x} \, dx\)
 3.54 \(\int \frac{e^{\text{sech}^{-1}(a x^2)}}{x^2} \, dx\)
 3.55 \(\int \frac{e^{\text{sech}^{-1}(a x^2)}}{x^3} \, dx\)
 3.56 \(\int e^{\text{sech}^{-1}(a x^3)} x^m \, dx\)
 3.57 \(\int e^{\text{sech}^{-1}(a x^2)} x^m \, dx\)
 3.58 \(\int e^{\text{sech}^{-1}(a x)} x^m \, dx\)
 3.59 \(\int e^{\text{sech}^{-1}(\frac{a}{x})} x^m \, dx\)
 3.60 \(\int e^{\text{sech}^{-1}(a x^p)} x^m \, dx\)
 3.61 \(\int e^{\text{sech}^{-1}(a x^p)} x \, dx\)
 3.62 \(\int e^{\text{sech}^{-1}(a x^p)} \, dx\)
 3.63 \(\int \frac{e^{\text{sech}^{-1}(a x^p)}}{x} \, dx\)
 3.64 \(\int \frac{e^{\text{sech}^{-1}(a x^p)}}{x^2} \, dx\)
 3.65 \(\int e^{2 \text{sech}^{-1}(a x)} x^4 \, dx\)
 3.66 \(\int e^{2 \text{sech}^{-1}(a x)} x^3 \, dx\)
 3.67 \(\int e^{2 \text{sech}^{-1}(a x)} x^2 \, dx\)
 3.68 \(\int e^{2 \text{sech}^{-1}(a x)} x \, dx\)
 3.69 \(\int e^{2 \text{sech}^{-1}(a x)} \, dx\)
 3.70 \(\int \frac{e^{2 \text{sech}^{-1}(a x)}}{x} \, dx\)
 3.71 \(\int \frac{e^{2 \text{sech}^{-1}(a x)}}{x^2} \, dx\)
 3.72 \(\int \frac{e^{2 \text{sech}^{-1}(a x)}}{x^3} \, dx\)
 3.73 \(\int \frac{e^{2 \text{sech}^{-1}(a x)}}{x^4} \, dx\)
 3.74 \(\int \frac{e^{2 \text{sech}^{-1}(a x)}}{x^5} \, dx\)
 3.75 \(\int \frac{e^{2 \text{sech}^{-1}(a x)}}{x^6} \, dx\)
 3.76 \(\int e^{-\text{sech}^{-1}(a x)} x^4 \, dx\)
 3.77 \(\int e^{-\text{sech}^{-1}(a x)} x^3 \, dx\)
 3.78 \(\int e^{-\text{sech}^{-1}(a x)} x^2 \, dx\)
 3.79 \(\int e^{-\text{sech}^{-1}(a x)} x \, dx\)
 3.80 \(\int e^{-\text{sech}^{-1}(a x)} \, dx\)
 3.81 \(\int \frac{e^{-\text{sech}^{-1}(a x)}}{x} \, dx\)
 3.82 \(\int \frac{e^{-\text{sech}^{-1}(a x)}}{x^2} \, dx\)
 3.83 \(\int \frac{e^{-\text{sech}^{-1}(a x)}}{x^3} \, dx\)
 3.84 \(\int \frac{e^{-\text{sech}^{-1}(a x)}}{x^4} \, dx\)
 3.85 \(\int \frac{e^{-\text{sech}^{-1}(a x)}}{x^5} \, dx\)
 3.86 \(\int \frac{e^{-\text{sech}^{-1}(a x)}}{x^6} \, dx\)
 3.87 \(\int \frac{e^{-\text{sech}^{-1}(a x)}}{x^7} \, dx\)
 3.88 \(\int \frac{e^{\text{sech}^{-1}(c x)} (d x)^m}{1-c^2 x^2} \, dx\)
 3.89 \(\int \frac{e^{\text{sech}^{-1}(c x)} x^4}{1-c^2 x^2} \, dx\)
 3.90 \(\int \frac{e^{\text{sech}^{-1}(c x)} x^3}{1-c^2 x^2} \, dx\)
 3.91 \(\int \frac{e^{\text{sech}^{-1}(c x)} x^2}{1-c^2 x^2} \, dx\)
 3.92 \(\int \frac{e^{\text{sech}^{-1}(c x)} x}{1-c^2 x^2} \, dx\)
 3.93 \(\int \frac{e^{\text{sech}^{-1}(c x)}}{1-c^2 x^2} \, dx\)
 3.94 \(\int \frac{e^{\text{sech}^{-1}(c x)}}{x (1-c^2 x^2)} \, dx\)
 3.95 \(\int \frac{e^{\text{sech}^{-1}(c x)}}{x^2 (1-c^2 x^2)} \, dx\)
 3.96 \(\int \frac{e^{\text{sech}^{-1}(c x)}}{x^3 (1-c^2 x^2)} \, dx\)
 3.97 \(\int \frac{x (-1+a e^{\text{sech}^{-1}(a x)} x)}{1-a^2 x^2} \, dx\)
 3.98 \(\int \frac{\text{sech}^{-1}(a+b x)}{\frac{a d}{b}+d x} \, dx\)
 3.99 \(\int x^3 \text{sech}^{-1}(a+b x^4) \, dx\)
 3.100 \(\int x^{-1+n} \text{sech}^{-1}(a+b x^n) \, dx\)