Chapter 3
Listing of integrals

 3.1 \(\int F^{c (a+b x)} \sin ^n(d+e x) \, dx\)
 3.2 \(\int F^{c (a+b x)} \sin ^3(d+e x) \, dx\)
 3.3 \(\int F^{c (a+b x)} \sin ^2(d+e x) \, dx\)
 3.4 \(\int F^{c (a+b x)} \sin (d+e x) \, dx\)
 3.5 \(\int F^{c (a+b x)} \csc (d+e x) \, dx\)
 3.6 \(\int F^{c (a+b x)} \csc ^2(d+e x) \, dx\)
 3.7 \(\int F^{c (a+b x)} \csc ^3(d+e x) \, dx\)
 3.8 \(\int F^{c (a+b x)} \csc ^4(d+e x) \, dx\)
 3.9 \(\int e^x \sin ^4(x) \, dx\)
 3.10 \(\int F^{c (a+b x)} \cos ^n(d+e x) \, dx\)
 3.11 \(\int F^{c (a+b x)} \cos ^3(d+e x) \, dx\)
 3.12 \(\int F^{c (a+b x)} \cos ^2(d+e x) \, dx\)
 3.13 \(\int F^{c (a+b x)} \cos (d+e x) \, dx\)
 3.14 \(\int F^{c (a+b x)} \sec (d+e x) \, dx\)
 3.15 \(\int F^{c (a+b x)} \sec ^2(d+e x) \, dx\)
 3.16 \(\int F^{c (a+b x)} \sec ^3(d+e x) \, dx\)
 3.17 \(\int F^{c (a+b x)} \sec ^4(d+e x) \, dx\)
 3.18 \(\int e^x \cos ^4(x) \, dx\)
 3.19 \(\int e^{c (a+b x)} \tan ^3(d+e x) \, dx\)
 3.20 \(\int e^{c (a+b x)} \tan ^2(d+e x) \, dx\)
 3.21 \(\int e^{c (a+b x)} \tan (d+e x) \, dx\)
 3.22 \(\int e^{c (a+b x)} \cot (d+e x) \, dx\)
 3.23 \(\int e^{c (a+b x)} \cot ^2(d+e x) \, dx\)
 3.24 \(\int e^{c (a+b x)} \cot ^3(d+e x) \, dx\)
 3.25 \(\int F^{a+b x} \tan (\frac{\pi }{4}+\frac{1}{2} (-c-d x)) \, dx\)
 3.26 \(\int F^{c (a+b x)} \sec ^n(d+e x) \, dx\)
 3.27 \(\int F^{c (a+b x)} \csc ^n(d+e x) \, dx\)
 3.28 \(\int F^{c (a+b x)} (f x)^m \sin (d+e x) \, dx\)
 3.29 \(\int F^{c (a+b x)} (f x)^m \csc (d+e x) \, dx\)
 3.30 \(\int F^{c (a+b x)} (f x)^m \csc ^2(d+e x) \, dx\)
 3.31 \(\int f F^{c (a+b x)} (f x)^{-2+m} (e x \cos (d+e x)+(-1+m+b c x \log (F)) \sin (d+e x)) \, dx\)
 3.32 \(\int f F^{c (a+b x)} (f x)^m (e x \cos (d+e x)+(1+m+b c x \log (F)) \sin (d+e x)) \, dx\)
 3.33 \(\int \frac{F^{c (a+b x)} (f x)^m (e x \cos (d+e x)+(m+b c x \log (F)) \sin (d+e x))}{x} \, dx\)
 3.34 \(\int F^{c (a+b x)} (e x \cos (d+e x)+(1+b c x \log (F)) \sin (d+e x)) \, dx\)
 3.35 \(\int F^{c (a+b x)} (e \cos (d+e x)+b c \log (F) \sin (d+e x)) \, dx\)
 3.36 \(\int \frac{F^{c (a+b x)} (e x \cos (d+e x)+(-1+b c x \log (F)) \sin (d+e x))}{x^2} \, dx\)
 3.37 \(\int \frac{F^{c (a+b x)} (e x \cos (d+e x)+(-2+b c x \log (F)) \sin (d+e x))}{x^3} \, dx\)
 3.38 \(\int e^{a+b x} \cos (c+d x) \sin (c+d x) \, dx\)
 3.39 \(\int e^{a+b x} \cos (c+d x) \sin ^2(c+d x) \, dx\)
 3.40 \(\int e^{a+b x} \cos (c+d x) \sin ^3(c+d x) \, dx\)
 3.41 \(\int e^{a+b x} \cos ^2(c+d x) \sin (c+d x) \, dx\)
 3.42 \(\int e^{a+b x} \cos ^2(c+d x) \sin ^2(c+d x) \, dx\)
 3.43 \(\int e^{a+b x} \cos ^2(c+d x) \sin ^3(c+d x) \, dx\)
 3.44 \(\int e^{a+b x} \cos ^3(c+d x) \sin (c+d x) \, dx\)
 3.45 \(\int e^{a+b x} \cos ^3(c+d x) \sin ^2(c+d x) \, dx\)
 3.46 \(\int e^{a+b x} \cos ^3(c+d x) \sin ^3(c+d x) \, dx\)
 3.47 \(\int e^x x \sin (x) \, dx\)
 3.48 \(\int e^x x^2 \sin (x) \, dx\)
 3.49 \(\int e^x x \cos (x) \, dx\)
 3.50 \(\int e^x x^2 \cos (x) \, dx\)
 3.51 \(\int e^{3 x} (-5 \cos (4 x)+2 \sin (4 x)) \, dx\)
 3.52 \(\int (e^{-x} \sin (x)+e^x \sin (x)) \, dx\)
 3.53 \(\int \frac{F^{a+b x} \cos (c+d x)}{e+e \sin (c+d x)} \, dx\)
 3.54 \(\int \frac{F^{a+b x} \cos (c+d x)}{e-e \sin (c+d x)} \, dx\)
 3.55 \(\int \frac{F^{a+b x} \sin (c+d x)}{e+e \cos (c+d x)} \, dx\)
 3.56 \(\int \frac{F^{a+b x} \sin (c+d x)}{e-e \cos (c+d x)} \, dx\)
 3.57 \(\int e^{x^2} \sin (b x) \, dx\)
 3.58 \(\int e^{x^2} \cos (b x) \, dx\)
 3.59 \(\int e^{x^2} \sin (a+b x) \, dx\)
 3.60 \(\int e^{x^2} \cos (a+b x) \, dx\)
 3.61 \(\int e^{2 x^2} x \cos (2 x^2) \, dx\)
 3.62 \(\int e^x \sin (e^x) \, dx\)
 3.63 \(\int e^x \csc (e^x) \sec (e^x) \, dx\)
 3.64 \(\int e^x \cos (e^x) \, dx\)
 3.65 \(\int e^{2 x} \cos (e^{2 x}) \, dx\)
 3.66 \(\int e^{-2 x} \cos (e^{-2 x}) \, dx\)
 3.67 \(\int e^{2 x} \cos (e^x) \, dx\)
 3.68 \(\int e^{-1+3 x} \cos (e^{-1+3 x}) \sin (1+e^{-1+3 x}) \, dx\)
 3.69 \(\int e^x \tan (e^x) \, dx\)
 3.70 \(\int e^x \sec (e^x) \, dx\)
 3.71 \(\int e^x \sec (e^x) \tan (e^x) \, dx\)
 3.72 \(\int e^x \csc ^2(e^x) \, dx\)
 3.73 \(\int e^x \sin (a+b x) \, dx\)
 3.74 \(\int e^x \sin (a+c x^2) \, dx\)
 3.75 \(\int e^x \sin (a+b x+c x^2) \, dx\)
 3.76 \(\int e^{x^2} \sin (a+b x) \, dx\)
 3.77 \(\int e^{x^2} \sin (a+c x^2) \, dx\)
 3.78 \(\int e^{x^2} \sin (a+b x+c x^2) \, dx\)
 3.79 \(\int f^{a+b x} \sin (d+f x^2) \, dx\)
 3.80 \(\int f^{a+b x} \sin ^2(d+f x^2) \, dx\)
 3.81 \(\int f^{a+b x} \sin ^3(d+f x^2) \, dx\)
 3.82 \(\int f^{a+b x} \sin (d+e x+f x^2) \, dx\)
 3.83 \(\int f^{a+b x} \sin ^2(d+e x+f x^2) \, dx\)
 3.84 \(\int f^{a+b x} \sin ^3(d+e x+f x^2) \, dx\)
 3.85 \(\int f^{a+c x^2} \sin (d+e x) \, dx\)
 3.86 \(\int f^{a+c x^2} \sin ^2(d+e x) \, dx\)
 3.87 \(\int f^{a+c x^2} \sin ^3(d+e x) \, dx\)
 3.88 \(\int f^{a+c x^2} \sin (d+f x^2) \, dx\)
 3.89 \(\int f^{a+c x^2} \sin ^2(d+f x^2) \, dx\)
 3.90 \(\int f^{a+c x^2} \sin ^3(d+f x^2) \, dx\)
 3.91 \(\int f^{a+c x^2} \sin (d+e x+f x^2) \, dx\)
 3.92 \(\int f^{a+c x^2} \sin ^2(d+e x+f x^2) \, dx\)
 3.93 \(\int f^{a+c x^2} \sin ^3(d+e x+f x^2) \, dx\)
 3.94 \(\int f^{a+b x+c x^2} \sin (d+e x) \, dx\)
 3.95 \(\int f^{a+b x+c x^2} \sin ^2(d+e x) \, dx\)
 3.96 \(\int f^{a+b x+c x^2} \sin ^3(d+e x) \, dx\)
 3.97 \(\int f^{a+b x+c x^2} \sin (d+f x^2) \, dx\)
 3.98 \(\int f^{a+b x+c x^2} \sin ^2(d+f x^2) \, dx\)
 3.99 \(\int f^{a+b x+c x^2} \sin ^3(d+f x^2) \, dx\)
 3.100 \(\int f^{a+b x+c x^2} \sin (d+e x+f x^2) \, dx\)
 3.101 \(\int f^{a+b x+c x^2} \sin ^2(d+e x+f x^2) \, dx\)
 3.102 \(\int f^{a+b x+c x^2} \sin ^3(d+e x+f x^2) \, dx\)
 3.103 \(\int f^{a+b x+c x^2} \sin (a+b x+e x^2) \, dx\)
 3.104 \(\int e^x \cos (a+b x) \, dx\)
 3.105 \(\int e^x \cos (a+c x^2) \, dx\)
 3.106 \(\int e^x \cos (a+b x+c x^2) \, dx\)
 3.107 \(\int e^{x^2} \cos (a+b x) \, dx\)
 3.108 \(\int e^{x^2} \cos (a+c x^2) \, dx\)
 3.109 \(\int e^{x^2} \cos (a+b x+c x^2) \, dx\)
 3.110 \(\int f^{a+b x} \cos (d+f x^2) \, dx\)
 3.111 \(\int f^{a+b x} \cos ^2(d+f x^2) \, dx\)
 3.112 \(\int f^{a+b x} \cos ^3(d+f x^2) \, dx\)
 3.113 \(\int f^{a+b x} \cos (d+e x+f x^2) \, dx\)
 3.114 \(\int f^{a+b x} \cos ^2(d+e x+f x^2) \, dx\)
 3.115 \(\int f^{a+b x} \cos ^3(d+e x+f x^2) \, dx\)
 3.116 \(\int f^{a+c x^2} \cos (d+e x) \, dx\)
 3.117 \(\int f^{a+c x^2} \cos ^2(d+e x) \, dx\)
 3.118 \(\int f^{a+c x^2} \cos ^3(d+e x) \, dx\)
 3.119 \(\int f^{a+c x^2} \cos (d+f x^2) \, dx\)
 3.120 \(\int f^{a+c x^2} \cos ^2(d+f x^2) \, dx\)
 3.121 \(\int f^{a+c x^2} \cos ^3(d+f x^2) \, dx\)
 3.122 \(\int f^{a+c x^2} \cos (d+e x+f x^2) \, dx\)
 3.123 \(\int f^{a+c x^2} \cos ^2(d+e x+f x^2) \, dx\)
 3.124 \(\int f^{a+c x^2} \cos ^3(d+e x+f x^2) \, dx\)
 3.125 \(\int f^{a+b x+c x^2} \cos (d+e x) \, dx\)
 3.126 \(\int f^{a+b x+c x^2} \cos ^2(d+e x) \, dx\)
 3.127 \(\int f^{a+b x+c x^2} \cos ^3(d+e x) \, dx\)
 3.128 \(\int f^{a+b x+c x^2} \cos (d+f x^2) \, dx\)
 3.129 \(\int f^{a+b x+c x^2} \cos ^2(d+f x^2) \, dx\)
 3.130 \(\int f^{a+b x+c x^2} \cos ^3(d+f x^2) \, dx\)
 3.131 \(\int f^{a+b x+c x^2} \cos (d+e x+f x^2) \, dx\)
 3.132 \(\int f^{a+b x+c x^2} \cos ^2(d+e x+f x^2) \, dx\)
 3.133 \(\int f^{a+b x+c x^2} \cos ^3(d+e x+f x^2) \, dx\)
 3.134 \(\int f^{a+b x+c x^2} \cos (a+b x+e x^2) \, dx\)
 3.135 \(\int F^{c (a+b x)} (f+f \sin (d+e x))^2 \, dx\)
 3.136 \(\int F^{c (a+b x)} (f+f \sin (d+e x)) \, dx\)
 3.137 \(\int \frac{F^{c (a+b x)}}{f+f \sin (d+e x)} \, dx\)
 3.138 \(\int \frac{F^{c (a+b x)}}{(f+f \sin (d+e x))^2} \, dx\)
 3.139 \(\int F^{c (a+b x)} (f+f \cos (d+e x))^2 \, dx\)
 3.140 \(\int F^{c (a+b x)} (f+f \cos (d+e x)) \, dx\)
 3.141 \(\int \frac{F^{c (a+b x)}}{f+f \cos (d+e x)} \, dx\)
 3.142 \(\int \frac{F^{c (a+b x)}}{(f+f \cos (d+e x))^2} \, dx\)