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