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Chapter 3
Listing of integrals
3.1
\(\int (c+d x)^3 \tanh (e+f x) \, dx\)
3.2
\(\int (c+d x)^2 \tanh (e+f x) \, dx\)
3.3
\(\int (c+d x) \tanh (e+f x) \, dx\)
3.4
\(\int \frac {\tanh (e+f x)}{c+d x} \, dx\)
3.5
\(\int \frac {\tanh (e+f x)}{(c+d x)^2} \, dx\)
3.6
\(\int (c+d x)^3 \tanh ^2(e+f x) \, dx\)
3.7
\(\int (c+d x)^2 \tanh ^2(e+f x) \, dx\)
3.8
\(\int (c+d x) \tanh ^2(e+f x) \, dx\)
3.9
\(\int \frac {\tanh ^2(e+f x)}{c+d x} \, dx\)
3.10
\(\int \frac {\tanh ^2(e+f x)}{(c+d x)^2} \, dx\)
3.11
\(\int (c+d x)^3 \tanh ^3(e+f x) \, dx\)
3.12
\(\int (c+d x)^2 \tanh ^3(e+f x) \, dx\)
3.13
\(\int (c+d x) \tanh ^3(e+f x) \, dx\)
3.14
\(\int \frac {\tanh ^3(e+f x)}{c+d x} \, dx\)
3.15
\(\int \frac {\tanh ^3(e+f x)}{(c+d x)^2} \, dx\)
3.16
\(\int (c+d x) (b \tanh (e+f x))^{5/2} \, dx\)
3.17
\(\int (c+d x) (b \tanh (e+f x))^{3/2} \, dx\)
3.18
\(\int (c+d x) \sqrt {b \tanh (e+f x)} \, dx\)
3.19
\(\int \frac {c+d x}{\sqrt {b \tanh (e+f x)}} \, dx\)
3.20
\(\int \frac {c+d x}{(b \tanh (e+f x))^{3/2}} \, dx\)
3.21
\(\int (c+d x)^2 (b \tanh (e+f x))^{3/2} \, dx\)
3.22
\(\int (c+d x)^2 \sqrt {b \tanh (e+f x)} \, dx\)
3.23
\(\int \frac {(c+d x)^2}{\sqrt {b \tanh (e+f x)}} \, dx\)
3.24
\(\int \frac {(c+d x)^2}{(b \tanh (e+f x))^{3/2}} \, dx\)
3.25
\(\int \frac {(b \tanh (e+f x))^{3/2}}{c+d x} \, dx\)
3.26
\(\int \frac {\sqrt {b \tanh (e+f x)}}{c+d x} \, dx\)
3.27
\(\int \frac {1}{(c+d x) \sqrt {b \tanh (e+f x)}} \, dx\)
3.28
\(\int \frac {1}{(c+d x) (b \tanh (e+f x))^{3/2}} \, dx\)
3.29
\(\int x^m \tanh ^3(a+b x) \, dx\)
3.30
\(\int x^m \tanh ^2(a+b x) \, dx\)
3.31
\(\int x^m \tanh (a+b x) \, dx\)
3.32
\(\int \frac {(c+d x)^3}{a+a \tanh (e+f x)} \, dx\)
3.33
\(\int \frac {(c+d x)^2}{a+a \tanh (e+f x)} \, dx\)
3.34
\(\int \frac {c+d x}{a+a \tanh (e+f x)} \, dx\)
3.35
\(\int \frac {1}{(c+d x) (a+a \tanh (e+f x))} \, dx\)
3.36
\(\int \frac {1}{(c+d x)^2 (a+a \tanh (e+f x))} \, dx\)
3.37
\(\int \frac {1}{(c+d x)^3 (a+a \tanh (e+f x))} \, dx\)
3.38
\(\int \frac {(c+d x)^3}{(a+a \tanh (e+f x))^2} \, dx\)
3.39
\(\int \frac {(c+d x)^2}{(a+a \tanh (e+f x))^2} \, dx\)
3.40
\(\int \frac {c+d x}{(a+a \tanh (e+f x))^2} \, dx\)
3.41
\(\int \frac {1}{(c+d x) (a+a \tanh (e+f x))^2} \, dx\)
3.42
\(\int \frac {1}{(c+d x)^2 (a+a \tanh (e+f x))^2} \, dx\)
3.43
\(\int \frac {(c+d x)^3}{(a+a \tanh (e+f x))^3} \, dx\)
3.44
\(\int \frac {(c+d x)^2}{(a+a \tanh (e+f x))^3} \, dx\)
3.45
\(\int \frac {c+d x}{(a+a \tanh (e+f x))^3} \, dx\)
3.46
\(\int \frac {1}{(c+d x) (a+a \tanh (e+f x))^3} \, dx\)
3.47
\(\int \frac {1}{(c+d x)^2 (a+a \tanh (e+f x))^3} \, dx\)
3.48
\(\int (c+d x)^m (a+a \tanh (e+f x))^2 \, dx\)
3.49
\(\int (c+d x)^m (a+a \tanh (e+f x)) \, dx\)
3.50
\(\int \frac {(c+d x)^m}{a+a \tanh (e+f x)} \, dx\)
3.51
\(\int \frac {(c+d x)^m}{(a+a \tanh (e+f x))^2} \, dx\)
3.52
\(\int \frac {(c+d x)^m}{(a+a \tanh (e+f x))^3} \, dx\)
3.53
\(\int (c+d x)^3 (a+b \tanh (e+f x)) \, dx\)
3.54
\(\int (c+d x)^2 (a+b \tanh (e+f x)) \, dx\)
3.55
\(\int (c+d x) (a+b \tanh (e+f x)) \, dx\)
3.56
\(\int \frac {a+b \tanh (e+f x)}{c+d x} \, dx\)
3.57
\(\int \frac {a+b \tanh (e+f x)}{(c+d x)^2} \, dx\)
3.58
\(\int (c+d x)^3 (a+b \tanh (e+f x))^2 \, dx\)
3.59
\(\int (c+d x)^2 (a+b \tanh (e+f x))^2 \, dx\)
3.60
\(\int (c+d x) (a+b \tanh (e+f x))^2 \, dx\)
3.61
\(\int \frac {(a+b \tanh (e+f x))^2}{c+d x} \, dx\)
3.62
\(\int \frac {(a+b \tanh (e+f x))^2}{(c+d x)^2} \, dx\)
3.63
\(\int (c+d x)^3 (a+b \tanh (e+f x))^3 \, dx\)
3.64
\(\int (c+d x)^2 (a+b \tanh (e+f x))^3 \, dx\)
3.65
\(\int (c+d x) (a+b \tanh (e+f x))^3 \, dx\)
3.66
\(\int \frac {(a+b \tanh (e+f x))^3}{c+d x} \, dx\)
3.67
\(\int \frac {(a+b \tanh (e+f x))^3}{(c+d x)^2} \, dx\)
3.68
\(\int \frac {(c+d x)^3}{a+b \tanh (e+f x)} \, dx\)
3.69
\(\int \frac {(c+d x)^2}{a+b \tanh (e+f x)} \, dx\)
3.70
\(\int \frac {c+d x}{a+b \tanh (e+f x)} \, dx\)
3.71
\(\int \frac {1}{(c+d x) (a+b \tanh (e+f x))} \, dx\)
3.72
\(\int \frac {1}{(c+d x)^2 (a+b \tanh (e+f x))} \, dx\)
3.73
\(\int \frac {(c+d x)^3}{(a+b \tanh (e+f x))^2} \, dx\)
3.74
\(\int \frac {(c+d x)^2}{(a+b \tanh (e+f x))^2} \, dx\)
3.75
\(\int \frac {c+d x}{(a+b \tanh (e+f x))^2} \, dx\)
3.76
\(\int \frac {1}{(c+d x) (a+b \tanh (e+f x))^2} \, dx\)
3.77
\(\int \frac {1}{(c+d x)^2 (a+b \tanh (e+f x))^2} \, dx\)
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