Chapter 3
Listing of integrals

 3.1 \(\int (c+d x)^4 \cos (a+b x) \, dx\)
 3.2 \(\int (c+d x)^3 \cos (a+b x) \, dx\)
 3.3 \(\int (c+d x)^2 \cos (a+b x) \, dx\)
 3.4 \(\int (c+d x) \cos (a+b x) \, dx\)
 3.5 \(\int \frac{\cos (a+b x)}{c+d x} \, dx\)
 3.6 \(\int \frac{\cos (a+b x)}{(c+d x)^2} \, dx\)
 3.7 \(\int \frac{\cos (a+b x)}{(c+d x)^3} \, dx\)
 3.8 \(\int \frac{\cos (a+b x)}{(c+d x)^4} \, dx\)
 3.9 \(\int (c+d x)^4 \cos ^2(a+b x) \, dx\)
 3.10 \(\int (c+d x)^3 \cos ^2(a+b x) \, dx\)
 3.11 \(\int (c+d x)^2 \cos ^2(a+b x) \, dx\)
 3.12 \(\int (c+d x) \cos ^2(a+b x) \, dx\)
 3.13 \(\int \frac{\cos ^2(a+b x)}{c+d x} \, dx\)
 3.14 \(\int \frac{\cos ^2(a+b x)}{(c+d x)^2} \, dx\)
 3.15 \(\int \frac{\cos ^2(a+b x)}{(c+d x)^3} \, dx\)
 3.16 \(\int (c+d x)^4 \cos ^3(a+b x) \, dx\)
 3.17 \(\int (c+d x)^3 \cos ^3(a+b x) \, dx\)
 3.18 \(\int (c+d x)^2 \cos ^3(a+b x) \, dx\)
 3.19 \(\int (c+d x) \cos ^3(a+b x) \, dx\)
 3.20 \(\int \frac{\cos ^3(a+b x)}{c+d x} \, dx\)
 3.21 \(\int \frac{\cos ^3(a+b x)}{(c+d x)^2} \, dx\)
 3.22 \(\int \frac{\cos ^3(a+b x)}{(c+d x)^3} \, dx\)
 3.23 \(\int x^3 \cos ^4(a+b x) \, dx\)
 3.24 \(\int x^2 \cos ^4(a+b x) \, dx\)
 3.25 \(\int x \cos ^4(a+b x) \, dx\)
 3.26 \(\int \frac{\cos ^4(a+b x)}{x} \, dx\)
 3.27 \(\int \frac{\cos ^4(a+b x)}{x^2} \, dx\)
 3.28 \(\int \frac{\cos ^4(a+b x)}{x^3} \, dx\)
 3.29 \(\int (c+d x)^3 \sec (a+b x) \, dx\)
 3.30 \(\int (c+d x)^2 \sec (a+b x) \, dx\)
 3.31 \(\int (c+d x) \sec (a+b x) \, dx\)
 3.32 \(\int \frac{\sec (a+b x)}{c+d x} \, dx\)
 3.33 \(\int (c+d x)^3 \sec ^2(a+b x) \, dx\)
 3.34 \(\int (c+d x)^2 \sec ^2(a+b x) \, dx\)
 3.35 \(\int (c+d x) \sec ^2(a+b x) \, dx\)
 3.36 \(\int \frac{\sec ^2(a+b x)}{c+d x} \, dx\)
 3.37 \(\int (c+d x)^3 \sec ^3(a+b x) \, dx\)
 3.38 \(\int (c+d x)^2 \sec ^3(a+b x) \, dx\)
 3.39 \(\int (c+d x) \sec ^3(a+b x) \, dx\)
 3.40 \(\int \frac{\sec ^2(a+b x)}{c+d x} \, dx\)
 3.41 \(\int (c+d x)^{5/2} \cos (a+b x) \, dx\)
 3.42 \(\int (c+d x)^{3/2} \cos (a+b x) \, dx\)
 3.43 \(\int \sqrt{c+d x} \cos (a+b x) \, dx\)
 3.44 \(\int \frac{\cos (a+b x)}{\sqrt{c+d x}} \, dx\)
 3.45 \(\int \frac{\cos (a+b x)}{(c+d x)^{3/2}} \, dx\)
 3.46 \(\int \frac{\cos (a+b x)}{(c+d x)^{5/2}} \, dx\)
 3.47 \(\int \frac{\cos (a+b x)}{(c+d x)^{7/2}} \, dx\)
 3.48 \(\int (c+d x)^{5/2} \cos ^2(a+b x) \, dx\)
 3.49 \(\int (c+d x)^{3/2} \cos ^2(a+b x) \, dx\)
 3.50 \(\int \sqrt{c+d x} \cos ^2(a+b x) \, dx\)
 3.51 \(\int \frac{\cos ^2(a+b x)}{\sqrt{c+d x}} \, dx\)
 3.52 \(\int \frac{\cos ^2(a+b x)}{(c+d x)^{3/2}} \, dx\)
 3.53 \(\int \frac{\cos ^2(a+b x)}{(c+d x)^{5/2}} \, dx\)
 3.54 \(\int \frac{\cos ^2(a+b x)}{(c+d x)^{7/2}} \, dx\)
 3.55 \(\int \frac{\cos ^2(a+b x)}{(c+d x)^{9/2}} \, dx\)
 3.56 \(\int (c+d x)^{5/2} \cos ^3(a+b x) \, dx\)
 3.57 \(\int (c+d x)^{3/2} \cos ^3(a+b x) \, dx\)
 3.58 \(\int \sqrt{c+d x} \cos ^3(a+b x) \, dx\)
 3.59 \(\int \frac{\cos ^3(a+b x)}{\sqrt{c+d x}} \, dx\)
 3.60 \(\int \frac{\cos ^3(a+b x)}{(c+d x)^{3/2}} \, dx\)
 3.61 \(\int \frac{\cos ^3(a+b x)}{(c+d x)^{5/2}} \, dx\)
 3.62 \(\int \frac{\cos ^3(a+b x)}{(c+d x)^{7/2}} \, dx\)
 3.63 \(\int x^{3/2} \cos (x) \, dx\)
 3.64 \(\int \sqrt{x} \cos (x) \, dx\)
 3.65 \(\int \frac{\cos (x)}{\sqrt{x}} \, dx\)
 3.66 \(\int \frac{\cos (x)}{x^{3/2}} \, dx\)
 3.67 \(\int (c+d x)^{4/3} \cos (a+b x) \, dx\)
 3.68 \(\int (c+d x)^{2/3} \cos (a+b x) \, dx\)
 3.69 \(\int \sqrt [3]{c+d x} \cos (a+b x) \, dx\)
 3.70 \(\int \frac{\cos (a+b x)}{\sqrt [3]{c+d x}} \, dx\)
 3.71 \(\int \frac{\cos (a+b x)}{(c+d x)^{2/3}} \, dx\)
 3.72 \(\int \frac{\cos (a+b x)}{(c+d x)^{4/3}} \, dx\)
 3.73 \(\int \frac{\cos (a+b x)}{(c+d x)^{5/3}} \, dx\)
 3.74 \(\int \frac{\cos (a+b x)}{(c+d x)^{7/3}} \, dx\)
 3.75 \(\int x \sqrt{\cos (a+b x)} \, dx\)
 3.76 \(\int \sqrt{\cos (a+b x)} \, dx\)
 3.77 \(\int \frac{\sqrt{\cos (a+b x)}}{x} \, dx\)
 3.78 \(\int x \cos ^{\frac{3}{2}}(a+b x) \, dx\)
 3.79 \(\int \cos ^{\frac{3}{2}}(a+b x) \, dx\)
 3.80 \(\int \frac{\cos ^{\frac{3}{2}}(a+b x)}{x} \, dx\)
 3.81 \(\int (-\frac{x}{3 \sqrt{\cos (a+b x)}}+x \cos ^{\frac{3}{2}}(a+b x)) \, dx\)
 3.82 \(\int \frac{\cos ^{\frac{3}{2}}(x)}{x^3} \, dx\)
 3.83 \(\int \frac{x}{\sqrt{\cos (a+b x)}} \, dx\)
 3.84 \(\int \frac{1}{\sqrt{\cos (a+b x)}} \, dx\)
 3.85 \(\int \frac{1}{x \sqrt{\cos (a+b x)}} \, dx\)
 3.86 \(\int \frac{x}{\cos ^{\frac{3}{2}}(a+b x)} \, dx\)
 3.87 \(\int \frac{1}{\cos ^{\frac{3}{2}}(a+b x)} \, dx\)
 3.88 \(\int \frac{1}{x \cos ^{\frac{3}{2}}(a+b x)} \, dx\)
 3.89 \(\int (\frac{x}{\cos ^{\frac{3}{2}}(a+b x)}+x \sqrt{\cos (a+b x)}) \, dx\)
 3.90 \(\int (\frac{x}{\cos ^{\frac{3}{2}}(x)}+x \sqrt{\cos (x)}) \, dx\)
 3.91 \(\int (\frac{x}{\cos ^{\frac{5}{2}}(x)}-\frac{x}{3 \sqrt{\cos (x)}}) \, dx\)
 3.92 \(\int (\frac{x}{\cos ^{\frac{7}{2}}(x)}+\frac{3}{5} x \sqrt{\cos (x)}) \, dx\)
 3.93 \(\int (\frac{x^2}{\cos ^{\frac{3}{2}}(x)}+x^2 \sqrt{\cos (x)}) \, dx\)
 3.94 \(\int (\frac{x}{\sec ^{\frac{3}{2}}(x)}-\frac{1}{3} x \sqrt{\sec (x)}) \, dx\)
 3.95 \(\int (\frac{x}{\sec ^{\frac{5}{2}}(x)}-\frac{3 x}{5 \sqrt{\sec (x)}}) \, dx\)
 3.96 \(\int (\frac{x}{\sec ^{\frac{7}{2}}(x)}-\frac{5}{21} x \sqrt{\sec (x)}) \, dx\)
 3.97 \(\int (\frac{x^2}{\sec ^{\frac{3}{2}}(x)}-\frac{1}{3} x^2 \sqrt{\sec (x)}) \, dx\)
 3.98 \(\int (c+d x)^m (b \cos (e+f x))^n \, dx\)
 3.99 \(\int (c+d x)^m \cos ^3(a+b x) \, dx\)
 3.100 \(\int (c+d x)^m \cos ^2(a+b x) \, dx\)
 3.101 \(\int (c+d x)^m \cos (a+b x) \, dx\)
 3.102 \(\int (c+d x)^m \sec (a+b x) \, dx\)
 3.103 \(\int (c+d x)^m \sec ^2(a+b x) \, dx\)
 3.104 \(\int x^{3+m} \cos (a+b x) \, dx\)
 3.105 \(\int x^{2+m} \cos (a+b x) \, dx\)
 3.106 \(\int x^{1+m} \cos (a+b x) \, dx\)
 3.107 \(\int x^m \cos (a+b x) \, dx\)
 3.108 \(\int x^{-1+m} \cos (a+b x) \, dx\)
 3.109 \(\int x^{-2+m} \cos (a+b x) \, dx\)
 3.110 \(\int x^{-3+m} \cos (a+b x) \, dx\)
 3.111 \(\int x^{3+m} \cos ^2(a+b x) \, dx\)
 3.112 \(\int x^{2+m} \cos ^2(a+b x) \, dx\)
 3.113 \(\int x^{1+m} \cos ^2(a+b x) \, dx\)
 3.114 \(\int x^m \cos ^2(a+b x) \, dx\)
 3.115 \(\int x^{-1+m} \cos ^2(a+b x) \, dx\)
 3.116 \(\int x^{-2+m} \cos ^2(a+b x) \, dx\)
 3.117 \(\int x^{-3+m} \cos ^2(a+b x) \, dx\)
 3.118 \(\int (c+d x)^3 (a+a \cos (e+f x)) \, dx\)
 3.119 \(\int (c+d x)^2 (a+a \cos (e+f x)) \, dx\)
 3.120 \(\int (c+d x) (a+a \cos (e+f x)) \, dx\)
 3.121 \(\int \frac{a+a \cos (e+f x)}{c+d x} \, dx\)
 3.122 \(\int \frac{a+a \cos (e+f x)}{(c+d x)^2} \, dx\)
 3.123 \(\int (c+d x)^3 (a+a \cos (e+f x))^2 \, dx\)
 3.124 \(\int (c+d x)^2 (a+a \cos (e+f x))^2 \, dx\)
 3.125 \(\int (c+d x) (a+a \cos (e+f x))^2 \, dx\)
 3.126 \(\int \frac{(a+a \cos (e+f x))^2}{c+d x} \, dx\)
 3.127 \(\int \frac{(a+a \cos (e+f x))^2}{(c+d x)^2} \, dx\)
 3.128 \(\int \frac{(c+d x)^3}{a+a \cos (e+f x)} \, dx\)
 3.129 \(\int \frac{(c+d x)^2}{a+a \cos (e+f x)} \, dx\)
 3.130 \(\int \frac{c+d x}{a+a \cos (e+f x)} \, dx\)
 3.131 \(\int \frac{1}{(c+d x) (a+a \cos (e+f x))} \, dx\)
 3.132 \(\int \frac{1}{(c+d x)^2 (a+a \cos (e+f x))} \, dx\)
 3.133 \(\int \frac{(c+d x)^3}{(a+a \cos (e+f x))^2} \, dx\)
 3.134 \(\int \frac{(c+d x)^2}{(a+a \cos (e+f x))^2} \, dx\)
 3.135 \(\int \frac{c+d x}{(a+a \cos (e+f x))^2} \, dx\)
 3.136 \(\int \frac{1}{(c+d x) (a+a \cos (e+f x))^2} \, dx\)
 3.137 \(\int \frac{1}{(c+d x)^2 (a+a \cos (e+f x))^2} \, dx\)
 3.138 \(\int \frac{(c+d x)^3}{a-a \cos (e+f x)} \, dx\)
 3.139 \(\int \frac{(c+d x)^2}{a-a \cos (e+f x)} \, dx\)
 3.140 \(\int \frac{c+d x}{a-a \cos (e+f x)} \, dx\)
 3.141 \(\int \frac{1}{(c+d x) (a-a \cos (e+f x))} \, dx\)
 3.142 \(\int \frac{1}{(c+d x)^2 (a-a \cos (e+f x))} \, dx\)
 3.143 \(\int x^3 \sqrt{a+a \cos (c+d x)} \, dx\)
 3.144 \(\int x^2 \sqrt{a+a \cos (c+d x)} \, dx\)
 3.145 \(\int x \sqrt{a+a \cos (c+d x)} \, dx\)
 3.146 \(\int \sqrt{a+a \cos (c+d x)} \, dx\)
 3.147 \(\int \frac{\sqrt{a+a \cos (c+d x)}}{x} \, dx\)
 3.148 \(\int \frac{\sqrt{a+a \cos (c+d x)}}{x^2} \, dx\)
 3.149 \(\int \frac{\sqrt{a+a \cos (c+d x)}}{x^3} \, dx\)
 3.150 \(\int x^3 \sqrt{a+a \cos (x)} \, dx\)
 3.151 \(\int x^2 \sqrt{a+a \cos (x)} \, dx\)
 3.152 \(\int x \sqrt{a+a \cos (x)} \, dx\)
 3.153 \(\int \sqrt{a+a \cos (x)} \, dx\)
 3.154 \(\int \frac{\sqrt{a+a \cos (x)}}{x} \, dx\)
 3.155 \(\int \frac{\sqrt{a+a \cos (x)}}{x^2} \, dx\)
 3.156 \(\int \frac{\sqrt{a+a \cos (x)}}{x^3} \, dx\)
 3.157 \(\int x^3 \sqrt{a-a \cos (x)} \, dx\)
 3.158 \(\int x^2 \sqrt{a-a \cos (x)} \, dx\)
 3.159 \(\int x \sqrt{a-a \cos (x)} \, dx\)
 3.160 \(\int \sqrt{a-a \cos (x)} \, dx\)
 3.161 \(\int \frac{\sqrt{a-a \cos (x)}}{x} \, dx\)
 3.162 \(\int \frac{\sqrt{a-a \cos (x)}}{x^2} \, dx\)
 3.163 \(\int \frac{\sqrt{a-a \cos (x)}}{x^3} \, dx\)
 3.164 \(\int x^3 (a+a \cos (x))^{3/2} \, dx\)
 3.165 \(\int x^2 (a+a \cos (x))^{3/2} \, dx\)
 3.166 \(\int x (a+a \cos (x))^{3/2} \, dx\)
 3.167 \(\int \frac{(a+a \cos (x))^{3/2}}{x} \, dx\)
 3.168 \(\int \frac{(a+a \cos (x))^{3/2}}{x^2} \, dx\)
 3.169 \(\int \frac{(a+a \cos (x))^{3/2}}{x^3} \, dx\)
 3.170 \(\int \frac{x^3}{\sqrt{a+a \cos (c+d x)}} \, dx\)
 3.171 \(\int \frac{x^2}{\sqrt{a+a \cos (c+d x)}} \, dx\)
 3.172 \(\int \frac{x}{\sqrt{a+a \cos (c+d x)}} \, dx\)
 3.173 \(\int \frac{1}{\sqrt{a+a \cos (c+d x)}} \, dx\)
 3.174 \(\int \frac{1}{x \sqrt{a+a \cos (c+d x)}} \, dx\)
 3.175 \(\int \frac{x^3}{\sqrt{a-a \cos (x)}} \, dx\)
 3.176 \(\int \frac{x^2}{\sqrt{a-a \cos (x)}} \, dx\)
 3.177 \(\int \frac{x}{\sqrt{a-a \cos (x)}} \, dx\)
 3.178 \(\int \frac{1}{\sqrt{a-a \cos (x)}} \, dx\)
 3.179 \(\int \frac{1}{x \sqrt{a-a \cos (x)}} \, dx\)
 3.180 \(\int \frac{x^3}{(a+a \cos (x))^{3/2}} \, dx\)
 3.181 \(\int \frac{x^2}{(a+a \cos (x))^{3/2}} \, dx\)
 3.182 \(\int \frac{x}{(a+a \cos (x))^{3/2}} \, dx\)
 3.183 \(\int \frac{1}{x (a+a \cos (x))^{3/2}} \, dx\)
 3.184 \(\int \frac{\sqrt [3]{a+a \cos (c+d x)}}{x} \, dx\)
 3.185 \(\int \frac{x^3}{a+b \cos (x)} \, dx\)
 3.186 \(\int \frac{x^2}{a+b \cos (c+d x)} \, dx\)
 3.187 \(\int \frac{x}{a+b \cos (c+d x)} \, dx\)
 3.188 \(\int \frac{1}{x (a+b \cos (x))} \, dx\)
 3.189 \(\int \frac{e+f x}{(a+b \cos (c+d x))^2} \, dx\)