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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
\(\int x^{-1+n} \text {sech}^{-1}(a+b x^n) \, dx\)
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