Chapter 3
Listing of integrals

 3.1 \(\int (c+d x)^4 \sin (a+b x) \, dx\)
 3.2 \(\int (c+d x)^3 \sin (a+b x) \, dx\)
 3.3 \(\int (c+d x)^2 \sin (a+b x) \, dx\)
 3.4 \(\int (c+d x) \sin (a+b x) \, dx\)
 3.5 \(\int \frac{\sin (a+b x)}{c+d x} \, dx\)
 3.6 \(\int \frac{\sin (a+b x)}{(c+d x)^2} \, dx\)
 3.7 \(\int \frac{\sin (a+b x)}{(c+d x)^3} \, dx\)
 3.8 \(\int (c+d x)^4 \sin ^2(a+b x) \, dx\)
 3.9 \(\int (c+d x)^3 \sin ^2(a+b x) \, dx\)
 3.10 \(\int (c+d x)^2 \sin ^2(a+b x) \, dx\)
 3.11 \(\int (c+d x) \sin ^2(a+b x) \, dx\)
 3.12 \(\int \frac{\sin ^2(a+b x)}{c+d x} \, dx\)
 3.13 \(\int \frac{\sin ^2(a+b x)}{(c+d x)^2} \, dx\)
 3.14 \(\int \frac{\sin ^2(a+b x)}{(c+d x)^3} \, dx\)
 3.15 \(\int \frac{\sin ^2(a+b x)}{(c+d x)^4} \, dx\)
 3.16 \(\int (c+d x)^4 \sin ^3(a+b x) \, dx\)
 3.17 \(\int (c+d x)^3 \sin ^3(a+b x) \, dx\)
 3.18 \(\int (c+d x)^2 \sin ^3(a+b x) \, dx\)
 3.19 \(\int (c+d x) \sin ^3(a+b x) \, dx\)
 3.20 \(\int \frac{\sin ^3(a+b x)}{c+d x} \, dx\)
 3.21 \(\int \frac{\sin ^3(a+b x)}{(c+d x)^2} \, dx\)
 3.22 \(\int \frac{\sin ^3(a+b x)}{(c+d x)^3} \, dx\)
 3.23 \(\int (c+d x)^3 \csc (a+b x) \, dx\)
 3.24 \(\int (c+d x)^2 \csc (a+b x) \, dx\)
 3.25 \(\int (c+d x) \csc (a+b x) \, dx\)
 3.26 \(\int \frac{\csc (a+b x)}{c+d x} \, dx\)
 3.27 \(\int \frac{\csc (a+b x)}{(c+d x)^2} \, dx\)
 3.28 \(\int (c+d x)^3 \csc ^2(a+b x) \, dx\)
 3.29 \(\int (c+d x)^2 \csc ^2(a+b x) \, dx\)
 3.30 \(\int (c+d x) \csc ^2(a+b x) \, dx\)
 3.31 \(\int \frac{\csc ^2(a+b x)}{c+d x} \, dx\)
 3.32 \(\int \frac{\csc ^2(a+b x)}{(c+d x)^2} \, dx\)
 3.33 \(\int (c+d x)^3 \csc ^3(a+b x) \, dx\)
 3.34 \(\int (c+d x)^2 \csc ^3(a+b x) \, dx\)
 3.35 \(\int (c+d x) \csc ^3(a+b x) \, dx\)
 3.36 \(\int \frac{\csc ^3(a+b x)}{c+d x} \, dx\)
 3.37 \(\int \frac{\csc ^3(a+b x)}{(c+d x)^2} \, dx\)
 3.38 \(\int (c+d x)^{5/2} \sin (a+b x) \, dx\)
 3.39 \(\int (c+d x)^{3/2} \sin (a+b x) \, dx\)
 3.40 \(\int \sqrt{c+d x} \sin (a+b x) \, dx\)
 3.41 \(\int \frac{\sin (a+b x)}{\sqrt{c+d x}} \, dx\)
 3.42 \(\int \frac{\sin (a+b x)}{(c+d x)^{3/2}} \, dx\)
 3.43 \(\int \frac{\sin (a+b x)}{(c+d x)^{5/2}} \, dx\)
 3.44 \(\int \frac{\sin (a+b x)}{(c+d x)^{7/2}} \, dx\)
 3.45 \(\int (c+d x)^{5/2} \sin ^2(a+b x) \, dx\)
 3.46 \(\int (c+d x)^{3/2} \sin ^2(a+b x) \, dx\)
 3.47 \(\int \sqrt{c+d x} \sin ^2(a+b x) \, dx\)
 3.48 \(\int \frac{\sin ^2(a+b x)}{\sqrt{c+d x}} \, dx\)
 3.49 \(\int \frac{\sin ^2(a+b x)}{(c+d x)^{3/2}} \, dx\)
 3.50 \(\int \frac{\sin ^2(a+b x)}{(c+d x)^{5/2}} \, dx\)
 3.51 \(\int \frac{\sin ^2(a+b x)}{(c+d x)^{7/2}} \, dx\)
 3.52 \(\int \frac{\sin ^2(a+b x)}{(c+d x)^{9/2}} \, dx\)
 3.53 \(\int (c+d x)^{5/2} \sin ^3(a+b x) \, dx\)
 3.54 \(\int (c+d x)^{3/2} \sin ^3(a+b x) \, dx\)
 3.55 \(\int \sqrt{c+d x} \sin ^3(a+b x) \, dx\)
 3.56 \(\int \frac{\sin ^3(a+b x)}{\sqrt{c+d x}} \, dx\)
 3.57 \(\int \frac{\sin ^3(a+b x)}{(c+d x)^{3/2}} \, dx\)
 3.58 \(\int \frac{\sin ^3(a+b x)}{(c+d x)^{5/2}} \, dx\)
 3.59 \(\int \frac{\sin ^3(a+b x)}{(c+d x)^{7/2}} \, dx\)
 3.60 \(\int (d x)^{3/2} \sin (f x) \, dx\)
 3.61 \(\int \sqrt{d x} \sin (f x) \, dx\)
 3.62 \(\int \frac{\sin (f x)}{\sqrt{d x}} \, dx\)
 3.63 \(\int \frac{\sin (f x)}{(d x)^{3/2}} \, dx\)
 3.64 \(\int \frac{\sin (f x)}{(d x)^{5/2}} \, dx\)
 3.65 \(\int \sqrt{c+d x} \csc (a+b x) \, dx\)
 3.66 \(\int \frac{\csc (a+b x)}{\sqrt{c+d x}} \, dx\)
 3.67 \(\int (\frac{x}{\sin ^{\frac{3}{2}}(e+f x)}+x \sqrt{\sin (e+f x)}) \, dx\)
 3.68 \(\int (\frac{x^2}{\sin ^{\frac{3}{2}}(e+f x)}+x^2 \sqrt{\sin (e+f x)}) \, dx\)
 3.69 \(\int (\frac{x}{\sin ^{\frac{5}{2}}(e+f x)}-\frac{x}{3 \sqrt{\sin (e+f x)}}) \, dx\)
 3.70 \(\int (\frac{x}{\sin ^{\frac{7}{2}}(e+f x)}+\frac{3}{5} x \sqrt{\sin (e+f x)}) \, dx\)
 3.71 \(\int (c+d x)^m (b \sin (e+f x))^n \, dx\)
 3.72 \(\int (c+d x)^m \sin ^3(a+b x) \, dx\)
 3.73 \(\int (c+d x)^m \sin ^2(a+b x) \, dx\)
 3.74 \(\int (c+d x)^m \sin (a+b x) \, dx\)
 3.75 \(\int (c+d x)^m \csc (a+b x) \, dx\)
 3.76 \(\int (c+d x)^m \csc ^2(a+b x) \, dx\)
 3.77 \(\int x^{3+m} \sin (a+b x) \, dx\)
 3.78 \(\int x^{2+m} \sin (a+b x) \, dx\)
 3.79 \(\int x^{1+m} \sin (a+b x) \, dx\)
 3.80 \(\int x^m \sin (a+b x) \, dx\)
 3.81 \(\int x^{-1+m} \sin (a+b x) \, dx\)
 3.82 \(\int x^{-2+m} \sin (a+b x) \, dx\)
 3.83 \(\int x^{-3+m} \sin (a+b x) \, dx\)
 3.84 \(\int x^{3+m} \sin ^2(a+b x) \, dx\)
 3.85 \(\int x^{2+m} \sin ^2(a+b x) \, dx\)
 3.86 \(\int x^{1+m} \sin ^2(a+b x) \, dx\)
 3.87 \(\int x^m \sin ^2(a+b x) \, dx\)
 3.88 \(\int x^{-1+m} \sin ^2(a+b x) \, dx\)
 3.89 \(\int x^{-2+m} \sin ^2(a+b x) \, dx\)
 3.90 \(\int x^{-3+m} \sin ^2(a+b x) \, dx\)
 3.91 \(\int (\frac{x}{\csc ^{\frac{3}{2}}(e+f x)}-\frac{1}{3} x \sqrt{\csc (e+f x)}) \, dx\)
 3.92 \(\int (\frac{x^2}{\csc ^{\frac{3}{2}}(e+f x)}-\frac{1}{3} x^2 \sqrt{\csc (e+f x)}) \, dx\)
 3.93 \(\int (\frac{x}{\csc ^{\frac{5}{2}}(e+f x)}-\frac{3 x}{5 \sqrt{\csc (e+f x)}}) \, dx\)
 3.94 \(\int (\frac{x}{\csc ^{\frac{7}{2}}(e+f x)}-\frac{5}{21} x \sqrt{\csc (e+f x)}) \, dx\)
 3.95 \(\int (c+d x)^3 (a+a \sin (e+f x)) \, dx\)
 3.96 \(\int (c+d x)^2 (a+a \sin (e+f x)) \, dx\)
 3.97 \(\int (c+d x) (a+a \sin (e+f x)) \, dx\)
 3.98 \(\int \frac{a+a \sin (e+f x)}{c+d x} \, dx\)
 3.99 \(\int \frac{a+a \sin (e+f x)}{(c+d x)^2} \, dx\)
 3.100 \(\int \frac{a+a \sin (e+f x)}{(c+d x)^3} \, dx\)
 3.101 \(\int (c+d x)^3 (a+a \sin (e+f x))^2 \, dx\)
 3.102 \(\int (c+d x)^2 (a+a \sin (e+f x))^2 \, dx\)
 3.103 \(\int (c+d x) (a+a \sin (e+f x))^2 \, dx\)
 3.104 \(\int \frac{(a+a \sin (e+f x))^2}{c+d x} \, dx\)
 3.105 \(\int \frac{(a+a \sin (e+f x))^2}{(c+d x)^2} \, dx\)
 3.106 \(\int \frac{(a+a \sin (e+f x))^2}{(c+d x)^3} \, dx\)
 3.107 \(\int \frac{(c+d x)^3}{a+a \sin (e+f x)} \, dx\)
 3.108 \(\int \frac{(c+d x)^2}{a+a \sin (e+f x)} \, dx\)
 3.109 \(\int \frac{c+d x}{a+a \sin (e+f x)} \, dx\)
 3.110 \(\int \frac{1}{(c+d x) (a+a \sin (e+f x))} \, dx\)
 3.111 \(\int \frac{1}{(c+d x)^2 (a+a \sin (e+f x))} \, dx\)
 3.112 \(\int \frac{(c+d x)^3}{(a+a \sin (e+f x))^2} \, dx\)
 3.113 \(\int \frac{(c+d x)^2}{(a+a \sin (e+f x))^2} \, dx\)
 3.114 \(\int \frac{c+d x}{(a+a \sin (e+f x))^2} \, dx\)
 3.115 \(\int \frac{1}{(c+d x) (a+a \sin (e+f x))^2} \, dx\)
 3.116 \(\int \frac{1}{(c+d x)^2 (a+a \sin (e+f x))^2} \, dx\)
 3.117 \(\int \frac{(c+d x)^3}{a-a \sin (e+f x)} \, dx\)
 3.118 \(\int \frac{(c+d x)^2}{a-a \sin (e+f x)} \, dx\)
 3.119 \(\int \frac{c+d x}{a-a \sin (e+f x)} \, dx\)
 3.120 \(\int \frac{1}{(c+d x) (a-a \sin (e+f x))} \, dx\)
 3.121 \(\int \frac{1}{(c+d x)^2 (a-a \sin (e+f x))} \, dx\)
 3.122 \(\int x^3 \sqrt{a+a \sin (c+d x)} \, dx\)
 3.123 \(\int x^2 \sqrt{a+a \sin (c+d x)} \, dx\)
 3.124 \(\int x \sqrt{a+a \sin (c+d x)} \, dx\)
 3.125 \(\int \frac{\sqrt{a+a \sin (c+d x)}}{x} \, dx\)
 3.126 \(\int \frac{\sqrt{a+a \sin (c+d x)}}{x^2} \, dx\)
 3.127 \(\int \frac{\sqrt{a+a \sin (c+d x)}}{x^3} \, dx\)
 3.128 \(\int x^3 (a+a \sin (e+f x))^{3/2} \, dx\)
 3.129 \(\int x^2 (a+a \sin (e+f x))^{3/2} \, dx\)
 3.130 \(\int x (a+a \sin (e+f x))^{3/2} \, dx\)
 3.131 \(\int \frac{(a+a \sin (e+f x))^{3/2}}{x} \, dx\)
 3.132 \(\int \frac{(a+a \sin (e+f x))^{3/2}}{x^2} \, dx\)
 3.133 \(\int \frac{(a+a \sin (e+f x))^{3/2}}{x^3} \, dx\)
 3.134 \(\int \frac{x^3}{\sqrt{a+a \sin (c+d x)}} \, dx\)
 3.135 \(\int \frac{x^2}{\sqrt{a+a \sin (c+d x)}} \, dx\)
 3.136 \(\int \frac{x}{\sqrt{a+a \sin (c+d x)}} \, dx\)
 3.137 \(\int \frac{1}{x \sqrt{a+a \sin (c+d x)}} \, dx\)
 3.138 \(\int \frac{1}{x^2 \sqrt{a+a \sin (c+d x)}} \, dx\)
 3.139 \(\int \frac{x^3}{(a+a \sin (e+f x))^{3/2}} \, dx\)
 3.140 \(\int \frac{x^2}{(a+a \sin (e+f x))^{3/2}} \, dx\)
 3.141 \(\int \frac{x}{(a+a \sin (e+f x))^{3/2}} \, dx\)
 3.142 \(\int \frac{1}{x (a+a \sin (e+f x))^{3/2}} \, dx\)
 3.143 \(\int \frac{1}{x^2 (a+a \sin (e+f x))^{3/2}} \, dx\)
 3.144 \(\int \frac{\sqrt [3]{a+a \sin (c+d x)}}{x} \, dx\)
 3.145 \(\int (c+d x)^m (a+a \sin (e+f x))^n \, dx\)
 3.146 \(\int (c+d x)^m (a+a \sin (e+f x))^3 \, dx\)
 3.147 \(\int (c+d x)^m (a+a \sin (e+f x))^2 \, dx\)
 3.148 \(\int (c+d x)^m (a+a \sin (e+f x)) \, dx\)
 3.149 \(\int \frac{(c+d x)^m}{a+a \sin (e+f x)} \, dx\)
 3.150 \(\int \frac{(c+d x)^m}{(a+a \sin (e+f x))^2} \, dx\)
 3.151 \(\int (c+d x)^3 (a+b \sin (e+f x)) \, dx\)
 3.152 \(\int (c+d x)^2 (a+b \sin (e+f x)) \, dx\)
 3.153 \(\int (c+d x) (a+b \sin (e+f x)) \, dx\)
 3.154 \(\int \frac{a+b \sin (e+f x)}{c+d x} \, dx\)
 3.155 \(\int \frac{a+b \sin (e+f x)}{(c+d x)^2} \, dx\)
 3.156 \(\int \frac{a+b \sin (e+f x)}{(c+d x)^3} \, dx\)
 3.157 \(\int (c+d x)^3 (a+b \sin (e+f x))^2 \, dx\)
 3.158 \(\int (c+d x)^2 (a+b \sin (e+f x))^2 \, dx\)
 3.159 \(\int (c+d x) (a+b \sin (e+f x))^2 \, dx\)
 3.160 \(\int \frac{(a+b \sin (e+f x))^2}{c+d x} \, dx\)
 3.161 \(\int \frac{(a+b \sin (e+f x))^2}{(c+d x)^2} \, dx\)
 3.162 \(\int \frac{(a+b \sin (e+f x))^2}{(c+d x)^3} \, dx\)
 3.163 \(\int \frac{(c+d x)^3}{a+b \sin (e+f x)} \, dx\)
 3.164 \(\int \frac{(c+d x)^2}{a+b \sin (e+f x)} \, dx\)
 3.165 \(\int \frac{c+d x}{a+b \sin (e+f x)} \, dx\)
 3.166 \(\int \frac{1}{(c+d x) (a+b \sin (e+f x))} \, dx\)
 3.167 \(\int \frac{1}{(c+d x)^2 (a+b \sin (e+f x))} \, dx\)
 3.168 \(\int \frac{(c+d x)^3}{(a+b \sin (e+f x))^2} \, dx\)
 3.169 \(\int \frac{(c+d x)^2}{(a+b \sin (e+f x))^2} \, dx\)
 3.170 \(\int \frac{c+d x}{(a+b \sin (e+f x))^2} \, dx\)
 3.171 \(\int \frac{1}{(c+d x) (a+b \sin (e+f x))^2} \, dx\)
 3.172 \(\int \frac{1}{(c+d x)^2 (a+b \sin (e+f x))^2} \, dx\)
 3.173 \(\int (c+d x)^m (a+b \sin (e+f x))^n \, dx\)
 3.174 \(\int (c+d x)^m (a+b \sin (e+f x))^3 \, dx\)
 3.175 \(\int (c+d x)^m (a+b \sin (e+f x))^2 \, dx\)
 3.176 \(\int (c+d x)^m (a+b \sin (e+f x)) \, dx\)
 3.177 \(\int \frac{(c+d x)^m}{a+b \sin (e+f x)} \, dx\)
 3.178 \(\int \frac{(c+d x)^m}{(a+b \sin (e+f x))^2} \, dx\)
 3.179 \(\int \frac{(e+f x)^3 \sin (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.180 \(\int \frac{(e+f x)^2 \sin (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.181 \(\int \frac{(e+f x) \sin (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.182 \(\int \frac{\sin (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.183 \(\int \frac{\sin (c+d x)}{(e+f x) (a+a \sin (c+d x))} \, dx\)
 3.184 \(\int \frac{\sin (c+d x)}{(e+f x)^2 (a+a \sin (c+d x))} \, dx\)
 3.185 \(\int \frac{(e+f x)^3 \sin ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.186 \(\int \frac{(e+f x)^2 \sin ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.187 \(\int \frac{(e+f x) \sin ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.188 \(\int \frac{\sin ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.189 \(\int \frac{\sin ^2(c+d x)}{(e+f x) (a+a \sin (c+d x))} \, dx\)
 3.190 \(\int \frac{\sin ^2(c+d x)}{(e+f x)^2 (a+a \sin (c+d x))} \, dx\)
 3.191 \(\int \frac{(e+f x)^3 \sin ^3(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.192 \(\int \frac{(e+f x)^2 \sin ^3(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.193 \(\int \frac{(e+f x) \sin ^3(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.194 \(\int \frac{\sin ^3(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.195 \(\int \frac{\sin ^3(c+d x)}{(e+f x) (a+a \sin (c+d x))} \, dx\)
 3.196 \(\int \frac{\sin ^3(c+d x)}{(e+f x)^2 (a+a \sin (c+d x))} \, dx\)
 3.197 \(\int \frac{(e+f x)^3 \csc (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.198 \(\int \frac{(e+f x)^2 \csc (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.199 \(\int \frac{(e+f x) \csc (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.200 \(\int \frac{\csc (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.201 \(\int \frac{\csc (c+d x)}{(e+f x) (a+a \sin (c+d x))} \, dx\)
 3.202 \(\int \frac{\csc (c+d x)}{(e+f x)^2 (a+a \sin (c+d x))} \, dx\)
 3.203 \(\int \frac{(e+f x)^3 \csc ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.204 \(\int \frac{(e+f x)^2 \csc ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.205 \(\int \frac{(e+f x) \csc ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.206 \(\int \frac{\csc ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.207 \(\int \frac{\csc ^2(c+d x)}{(e+f x) (a+a \sin (c+d x))} \, dx\)
 3.208 \(\int \frac{\csc ^2(c+d x)}{(e+f x)^2 (a+a \sin (c+d x))} \, dx\)
 3.209 \(\int \frac{(e+f x)^3 \csc ^3(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.210 \(\int \frac{(e+f x)^2 \csc ^3(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.211 \(\int \frac{(e+f x) \csc ^3(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.212 \(\int \frac{\csc ^3(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.213 \(\int \frac{\csc ^3(c+d x)}{(e+f x) (a+a \sin (c+d x))} \, dx\)
 3.214 \(\int \frac{\csc ^3(c+d x)}{(e+f x)^2 (a+a \sin (c+d x))} \, dx\)
 3.215 \(\int \frac{(e+f x)^m \sin ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.216 \(\int \frac{(e+f x)^m \sin (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.217 \(\int \frac{(e+f x)^m}{a+a \sin (c+d x)} \, dx\)
 3.218 \(\int \frac{(e+f x)^m \csc (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.219 \(\int \frac{(e+f x)^m \csc ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.220 \(\int \frac{(e+f x)^3 \sin (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.221 \(\int \frac{(e+f x)^2 \sin (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.222 \(\int \frac{(e+f x) \sin (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.223 \(\int \frac{\sin (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.224 \(\int \frac{(e+f x)^3 \sin ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.225 \(\int \frac{(e+f x)^2 \sin ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.226 \(\int \frac{(e+f x) \sin ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.227 \(\int \frac{\sin ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.228 \(\int \frac{(e+f x)^3 \sin ^3(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.229 \(\int \frac{(e+f x)^2 \sin ^3(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.230 \(\int \frac{(e+f x) \sin ^3(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.231 \(\int \frac{\sin ^3(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.232 \(\int \frac{(e+f x)^3 \csc (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.233 \(\int \frac{(e+f x)^2 \csc (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.234 \(\int \frac{(e+f x) \csc (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.235 \(\int \frac{\csc (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.236 \(\int \frac{(e+f x)^3 \csc ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.237 \(\int \frac{(e+f x)^2 \csc ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.238 \(\int \frac{(e+f x) \csc ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.239 \(\int \frac{\csc ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.240 \(\int \frac{(e+f x)^m \sin ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.241 \(\int \frac{(e+f x)^m \sin (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.242 \(\int \frac{(e+f x)^m}{a+b \sin (c+d x)} \, dx\)
 3.243 \(\int \frac{(e+f x)^m \csc (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.244 \(\int \frac{(e+f x)^m \csc ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.245 \(\int \frac{(e+f x) \sin (c+d x)}{(a+b \sin (c+d x))^2} \, dx\)
 3.246 \(\int \frac{(e+f x)^2 \sin (c+d x)}{(a+b \sin (c+d x))^2} \, dx\)
 3.247 \(\int \frac{(e+f x)^3 \sin (c+d x)}{(a+b \sin (c+d x))^2} \, dx\)
 3.248 \(\int \frac{(e+f x) \sin (c+d x)}{(a+b \sin (c+d x))^3} \, dx\)
 3.249 \(\int \frac{(e+f x)^2 \sin (c+d x)}{(a+b \sin (c+d x))^3} \, dx\)
 3.250 \(\int \frac{(e+f x)^3 \sin (c+d x)}{(a+b \sin (c+d x))^3} \, dx\)
 3.251 \(\int \frac{(e+f x)^3 \cos (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.252 \(\int \frac{(e+f x)^2 \cos (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.253 \(\int \frac{(e+f x) \cos (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.254 \(\int \frac{\cos (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.255 \(\int \frac{\cos (c+d x)}{(e+f x) (a+a \sin (c+d x))} \, dx\)
 3.256 \(\int \frac{\cos (c+d x)}{(e+f x)^2 (a+a \sin (c+d x))} \, dx\)
 3.257 \(\int \frac{(e+f x)^3 \cos ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.258 \(\int \frac{(e+f x)^2 \cos ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.259 \(\int \frac{(e+f x) \cos ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.260 \(\int \frac{\cos ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.261 \(\int \frac{\cos ^2(c+d x)}{(e+f x) (a+a \sin (c+d x))} \, dx\)
 3.262 \(\int \frac{\cos ^2(c+d x)}{(e+f x)^2 (a+a \sin (c+d x))} \, dx\)
 3.263 \(\int \frac{(e+f x)^3 \cos ^3(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.264 \(\int \frac{(e+f x)^2 \cos ^3(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.265 \(\int \frac{(e+f x) \cos ^3(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.266 \(\int \frac{\cos ^3(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.267 \(\int \frac{\cos ^3(c+d x)}{(e+f x) (a+a \sin (c+d x))} \, dx\)
 3.268 \(\int \frac{\cos ^3(c+d x)}{(e+f x)^2 (a+a \sin (c+d x))} \, dx\)
 3.269 \(\int \frac{(e+f x)^3 \sec (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.270 \(\int \frac{(e+f x)^2 \sec (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.271 \(\int \frac{(e+f x) \sec (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.272 \(\int \frac{\sec (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.273 \(\int \frac{\sec (c+d x)}{(e+f x) (a+a \sin (c+d x))} \, dx\)
 3.274 \(\int \frac{\sec (c+d x)}{(e+f x)^2 (a+a \sin (c+d x))} \, dx\)
 3.275 \(\int \frac{(e+f x)^3 \sec ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.276 \(\int \frac{(e+f x)^2 \sec ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.277 \(\int \frac{(e+f x) \sec ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.278 \(\int \frac{\sec ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.279 \(\int \frac{\sec ^2(c+d x)}{(e+f x) (a+a \sin (c+d x))} \, dx\)
 3.280 \(\int \frac{\sec ^2(c+d x)}{(e+f x)^2 (a+a \sin (c+d x))} \, dx\)
 3.281 \(\int \frac{(e+f x)^3 \sec ^3(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.282 \(\int \frac{(e+f x)^2 \sec ^3(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.283 \(\int \frac{(e+f x) \sec ^3(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.284 \(\int \frac{\sec ^3(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.285 \(\int \frac{\sec ^3(c+d x)}{(e+f x) (a+a \sin (c+d x))} \, dx\)
 3.286 \(\int \frac{\sec ^3(c+d x)}{(e+f x)^2 (a+a \sin (c+d x))} \, dx\)
 3.287 \(\int \frac{(e+f x)^m \cos ^4(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.288 \(\int \frac{(e+f x)^m \cos ^3(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.289 \(\int \frac{(e+f x)^m \cos ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.290 \(\int \frac{(e+f x)^m \cos (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.291 \(\int \frac{(e+f x)^m}{a+a \sin (c+d x)} \, dx\)
 3.292 \(\int \frac{(e+f x)^m \sec (c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.293 \(\int \frac{(e+f x)^m \sec ^2(c+d x)}{a+a \sin (c+d x)} \, dx\)
 3.294 \(\int \frac{(e+f x)^3 \cos (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.295 \(\int \frac{(e+f x)^2 \cos (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.296 \(\int \frac{(e+f x) \cos (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.297 \(\int \frac{\cos (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.298 \(\int \frac{(e+f x)^3 \cos ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.299 \(\int \frac{(e+f x)^2 \cos ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.300 \(\int \frac{(e+f x) \cos ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.301 \(\int \frac{\cos ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.302 \(\int \frac{(e+f x)^3 \cos ^3(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.303 \(\int \frac{(e+f x)^2 \cos ^3(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.304 \(\int \frac{(e+f x) \cos ^3(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.305 \(\int \frac{\cos ^3(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.306 \(\int \frac{(e+f x)^3 \sec (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.307 \(\int \frac{(e+f x)^2 \sec (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.308 \(\int \frac{(e+f x) \sec (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.309 \(\int \frac{\sec (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.310 \(\int \frac{(e+f x)^3 \sec ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.311 \(\int \frac{(e+f x)^2 \sec ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.312 \(\int \frac{(e+f x) \sec ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.313 \(\int \frac{\sec ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.314 \(\int \frac{(e+f x)^m \cos ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.315 \(\int \frac{(e+f x)^m \cos (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.316 \(\int \frac{(e+f x)^m}{a+b \sin (c+d x)} \, dx\)
 3.317 \(\int \frac{(e+f x)^m \sec (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.318 \(\int \frac{(e+f x)^m \sec ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.319 \(\int \frac{(e+f x) \cos (c+d x)}{(a+b \sin (c+d x))^2} \, dx\)
 3.320 \(\int \frac{(e+f x)^2 \cos (c+d x)}{(a+b \sin (c+d x))^2} \, dx\)
 3.321 \(\int \frac{(e+f x)^3 \cos (c+d x)}{(a+b \sin (c+d x))^2} \, dx\)
 3.322 \(\int \frac{(e+f x) \cos (c+d x)}{(a+b \sin (c+d x))^3} \, dx\)
 3.323 \(\int \frac{(e+f x)^2 \cos (c+d x)}{(a+b \sin (c+d x))^3} \, dx\)
 3.324 \(\int \frac{(e+f x)^3 \cos (c+d x)}{(a+b \sin (c+d x))^3} \, dx\)
 3.325 \(\int \frac{(e+f x)^3 \cos (c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.326 \(\int \frac{(e+f x)^2 \cos (c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.327 \(\int \frac{(e+f x) \cos (c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.328 \(\int \frac{\cos (c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.329 \(\int \frac{(e+f x)^3 \cos ^2(c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.330 \(\int \frac{(e+f x)^2 \cos ^2(c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.331 \(\int \frac{(e+f x) \cos ^2(c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.332 \(\int \frac{\cos ^2(c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.333 \(\int \frac{(e+f x)^3 \cos ^3(c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.334 \(\int \frac{(e+f x)^2 \cos ^3(c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.335 \(\int \frac{(e+f x) \cos ^3(c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.336 \(\int \frac{\cos ^3(c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.337 \(\int \frac{(e+f x)^3 \cos (c+d x) \cot ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.338 \(\int \frac{(e+f x)^2 \cos (c+d x) \cot ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.339 \(\int \frac{(e+f x) \cos (c+d x) \cot ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.340 \(\int \frac{\cos (c+d x) \cot ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.341 \(\int \frac{(e+f x)^3 \cos ^2(c+d x) \cot ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.342 \(\int \frac{(e+f x)^2 \cos ^2(c+d x) \cot ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.343 \(\int \frac{(e+f x) \cos ^2(c+d x) \cot ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.344 \(\int \frac{\cos ^2(c+d x) \cot ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.345 \(\int \frac{(e+f x)^3 \cos ^3(c+d x) \cot ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.346 \(\int \frac{(e+f x)^2 \cos ^3(c+d x) \cot ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.347 \(\int \frac{(e+f x) \cos ^3(c+d x) \cot ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)
 3.348 \(\int \frac{\cos ^3(c+d x) \cot ^2(c+d x)}{a+b \sin (c+d x)} \, dx\)