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