Chapter 3
Listing of integrals

 3.1 \(\int F^{c (a+b x)} (d+e x)^m \, dx\)
 3.2 \(\int F^{c (a+b x)} (d+e x)^4 \, dx\)
 3.3 \(\int F^{c (a+b x)} (d+e x)^3 \, dx\)
 3.4 \(\int F^{c (a+b x)} (d+e x)^2 \, dx\)
 3.5 \(\int F^{c (a+b x)} (d+e x) \, dx\)
 3.6 \(\int F^{c (a+b x)} \, dx\)
 3.7 \(\int \frac{F^{c (a+b x)}}{d+e x} \, dx\)
 3.8 \(\int \frac{F^{c (a+b x)}}{(d+e x)^2} \, dx\)
 3.9 \(\int \frac{F^{c (a+b x)}}{(d+e x)^3} \, dx\)
 3.10 \(\int \frac{F^{c (a+b x)}}{(d+e x)^4} \, dx\)
 3.11 \(\int \frac{F^{c (a+b x)}}{(d+e x)^5} \, dx\)
 3.12 \(\int F^{c (a+b x)} (d^4+4 d^3 e x+6 d^2 e^2 x^2+4 d e^3 x^3+e^4 x^4) \, dx\)
 3.13 \(\int F^{c (a+b x)} (d^3+3 d^2 e x+3 d e^2 x^2+e^3 x^3) \, dx\)
 3.14 \(\int F^{c (a+b x)} (d^2+2 d e x+e^2 x^2) \, dx\)
 3.15 \(\int \frac{F^{c (a+b x)}}{d^2+2 d e x+e^2 x^2} \, dx\)
 3.16 \(\int \frac{F^{c (a+b x)}}{d^3+3 d^2 e x+3 d e^2 x^2+e^3 x^3} \, dx\)
 3.17 \(\int \frac{F^{c (a+b x)}}{d^4+4 d^3 e x+6 d^2 e^2 x^2+4 d e^3 x^3+e^4 x^4} \, dx\)
 3.18 \(\int \frac{F^{c (a+b x)}}{d^5+5 d^4 e x+10 d^3 e^2 x^2+10 d^2 e^3 x^3+5 d e^4 x^4+e^5 x^5} \, dx\)
 3.19 \(\int F^{c (a+b x)} ((d+e x)^n)^m \, dx\)
 3.20 \(\int F^{c (a+b x)} (d^4+4 d^3 e x+6 d^2 e^2 x^2+4 d e^3 x^3+e^4 x^4)^m \, dx\)
 3.21 \(\int F^{c (a+b x)} (d^3+3 d^2 e x+3 d e^2 x^2+e^3 x^3)^m \, dx\)
 3.22 \(\int F^{c (a+b x)} (d^2+2 d e x+e^2 x^2)^m \, dx\)
 3.23 \(\int F^{c (a+b x)} (d+e x)^m \, dx\)
 3.24 \(\int F^{c (a+b x)} (d+e x)^{-m} \, dx\)
 3.25 \(\int F^{c (a+b x)} (d^2+2 d e x+e^2 x^2)^{-m} \, dx\)
 3.26 \(\int F^{c (a+b x)} (d^3+3 d^2 e x+3 d e^2 x^2+e^3 x^3)^{-m} \, dx\)
 3.27 \(\int F^{2+5 x} \, dx\)
 3.28 \(\int F^{a+b x} \, dx\)
 3.29 \(\int 10^{2+5 x} \, dx\)
 3.30 \(\int F^{a+b x} x^{7/2} \, dx\)
 3.31 \(\int F^{a+b x} x^{5/2} \, dx\)
 3.32 \(\int F^{a+b x} x^{3/2} \, dx\)
 3.33 \(\int F^{a+b x} \sqrt{x} \, dx\)
 3.34 \(\int \frac{F^{a+b x}}{\sqrt{x}} \, dx\)
 3.35 \(\int \frac{F^{a+b x}}{x^{3/2}} \, dx\)
 3.36 \(\int \frac{F^{a+b x}}{x^{5/2}} \, dx\)
 3.37 \(\int \frac{F^{a+b x}}{x^{7/2}} \, dx\)
 3.38 \(\int \frac{F^{a+b x}}{x^{9/2}} \, dx\)
 3.39 \(\int F^{c (a+b x)} (d+e x)^{7/2} \, dx\)
 3.40 \(\int F^{c (a+b x)} (d+e x)^{5/2} \, dx\)
 3.41 \(\int F^{c (a+b x)} (d+e x)^{3/2} \, dx\)
 3.42 \(\int F^{c (a+b x)} \sqrt{d+e x} \, dx\)
 3.43 \(\int \frac{F^{c (a+b x)}}{\sqrt{d+e x}} \, dx\)
 3.44 \(\int \frac{F^{c (a+b x)}}{(d+e x)^{3/2}} \, dx\)
 3.45 \(\int \frac{F^{c (a+b x)}}{(d+e x)^{5/2}} \, dx\)
 3.46 \(\int \frac{F^{c (a+b x)}}{(d+e x)^{7/2}} \, dx\)
 3.47 \(\int \frac{F^{c (a+b x)}}{(d+e x)^{9/2}} \, dx\)
 3.48 \(\int e^{-b x} x^{13/2} \, dx\)
 3.49 \(\int F^{c (a+b x)} (d+e x)^{4/3} \, dx\)
 3.50 \(\int (F^{c (a+b x)})^n (d+e x)^{4/3} \, dx\)
 3.51 \(\int F^{c (a+b x)} (d+e x) \, dx\)
 3.52 \(\int F^{c (a+b x)} (d+e x+f x^2) \, dx\)
 3.53 \(\int F^{c (a+b x)} (d+e x+f x^2+g x^3) \, dx\)
 3.54 \(\int F^{c (a+b x)} (d+e x+f x^2+g x^3+h x^4) \, dx\)
 3.55 \(\int e^{-a-b x} x^m (a+b x)^3 \, dx\)
 3.56 \(\int e^{-a-b x} x^3 (a+b x)^3 \, dx\)
 3.57 \(\int e^{-a-b x} x^2 (a+b x)^3 \, dx\)
 3.58 \(\int e^{-a-b x} x (a+b x)^3 \, dx\)
 3.59 \(\int e^{-a-b x} (a+b x)^3 \, dx\)
 3.60 \(\int \frac{e^{-a-b x} (a+b x)^3}{x} \, dx\)
 3.61 \(\int \frac{e^{-a-b x} (a+b x)^3}{x^2} \, dx\)
 3.62 \(\int \frac{e^{-a-b x} (a+b x)^3}{x^3} \, dx\)
 3.63 \(\int \frac{e^{-a-b x} (a+b x)^3}{x^4} \, dx\)
 3.64 \(\int F^{a+b (c+d x)} x^m (e+f x)^2 \, dx\)
 3.65 \(\int F^{a+b (c+d x)} x^3 (e+f x)^2 \, dx\)
 3.66 \(\int F^{a+b (c+d x)} x^2 (e+f x)^2 \, dx\)
 3.67 \(\int F^{a+b (c+d x)} x (e+f x)^2 \, dx\)
 3.68 \(\int F^{a+b (c+d x)} (e+f x)^2 \, dx\)
 3.69 \(\int \frac{F^{a+b (c+d x)} (e+f x)^2}{x} \, dx\)
 3.70 \(\int \frac{F^{a+b (c+d x)} (e+f x)^2}{x^2} \, dx\)
 3.71 \(\int \frac{F^{a+b (c+d x)} (e+f x)^2}{x^3} \, dx\)
 3.72 \(\int \frac{F^{a+b (c+d x)} (e+f x)^2}{x^4} \, dx\)
 3.73 \(\int \frac{F^{a+b (c+d x)} (e+f x)^2}{x^5} \, dx\)
 3.74 \(\int e^{-a-b x} (a+b x)^4 (c+d x)^3 \, dx\)
 3.75 \(\int e^{-a-b x} (a+b x)^4 (c+d x)^2 \, dx\)
 3.76 \(\int e^{-a-b x} (a+b x)^4 (c+d x) \, dx\)
 3.77 \(\int e^{-a-b x} (a+b x)^4 \, dx\)
 3.78 \(\int \frac{e^{-a-b x} (a+b x)^4}{c+d x} \, dx\)
 3.79 \(\int \frac{e^{-a-b x} (a+b x)^4}{(c+d x)^2} \, dx\)
 3.80 \(\int \frac{e^{-a-b x} (a+b x)^4}{(c+d x)^3} \, dx\)
 3.81 \(\int \frac{e^{-a-b x} (a+b x)^4}{(c+d x)^4} \, dx\)
 3.82 \(\int \frac{e^{-a-b x} (a+b x)^4}{(c+d x)^5} \, dx\)
 3.83 \(\int F^{c (a+b x)} x^m \log ^n(d x) (e+e n+e (1+m+b c x \log (F)) \log (d x)) \, dx\)
 3.84 \(\int F^{c (a+b x)} x^2 \log ^n(d x) (e+e n+e (3+b c x \log (F)) \log (d x)) \, dx\)
 3.85 \(\int F^{c (a+b x)} x \log ^n(d x) (e+e n+e (2+b c x \log (F)) \log (d x)) \, dx\)
 3.86 \(\int F^{c (a+b x)} \log ^n(d x) (e+e n+e (1+b c x \log (F)) \log (d x)) \, dx\)
 3.87 \(\int \frac{F^{c (a+b x)} \log ^n(d x) (e+e n+b c e x \log (F) \log (d x))}{x} \, dx\)
 3.88 \(\int \frac{F^{c (a+b x)} \log ^n(d x) (e+e n+e (-1+b c x \log (F)) \log (d x))}{x^2} \, dx\)
 3.89 \(\int \frac{F^{c (a+b x)} \log ^n(d x) (e+e n+e (-2+b c x \log (F)) \log (d x))}{x^3} \, dx\)
 3.90 \(\int \sqrt{e^{a+b x}} x^4 \, dx\)
 3.91 \(\int \sqrt{e^{a+b x}} x^3 \, dx\)
 3.92 \(\int \sqrt{e^{a+b x}} x^2 \, dx\)
 3.93 \(\int \sqrt{e^{a+b x}} x \, dx\)
 3.94 \(\int \sqrt{e^{a+b x}} \, dx\)
 3.95 \(\int \frac{\sqrt{e^{a+b x}}}{x} \, dx\)
 3.96 \(\int \frac{\sqrt{e^{a+b x}}}{x^2} \, dx\)
 3.97 \(\int \frac{\sqrt{e^{a+b x}}}{x^3} \, dx\)
 3.98 \(\int \frac{\sqrt{e^{a+b x}}}{x^4} \, dx\)