3.1 \(\int \sin ^3(e+f x) (a+a \sin (e+f x))^2 \, dx\)
 3.2 \(\int \sin ^3(e+f x) (a+a \sin (e+f x))^3 \, dx\)
 3.3 \(\int \frac{\sin ^4(x)}{a+a \sin (x)} \, dx\)
 3.4 \(\int \frac{\sin ^3(x)}{a+a \sin (x)} \, dx\)
 3.5 \(\int \frac{\sin ^2(x)}{a+a \sin (x)} \, dx\)
 3.6 \(\int \frac{\sin (x)}{a+a \sin (x)} \, dx\)
 3.7 \(\int \frac{1}{a+a \sin (x)} \, dx\)
 3.8 \(\int \frac{\csc (x)}{a+a \sin (x)} \, dx\)
 3.9 \(\int \frac{\csc ^2(x)}{a+a \sin (x)} \, dx\)
 3.10 \(\int \frac{\csc ^3(x)}{a+a \sin (x)} \, dx\)
 3.11 \(\int \frac{\csc ^4(x)}{a+a \sin (x)} \, dx\)
 3.12 \(\int \frac{\sin ^4(x)}{(a+a \sin (x))^2} \, dx\)
 3.13 \(\int \frac{\sin ^3(x)}{(a+a \sin (x))^2} \, dx\)
 3.14 \(\int \frac{\sin ^2(x)}{(a+a \sin (x))^2} \, dx\)
 3.15 \(\int \frac{\sin (x)}{(a+a \sin (x))^2} \, dx\)
 3.16 \(\int \frac{1}{(a+a \sin (x))^2} \, dx\)
 3.17 \(\int \frac{\csc (x)}{(a+a \sin (x))^2} \, dx\)
 3.18 \(\int \frac{\csc ^2(x)}{(a+a \sin (x))^2} \, dx\)
 3.19 \(\int \frac{\csc ^3(x)}{(a+a \sin (x))^2} \, dx\)
 3.20 \(\int \frac{\csc ^4(x)}{(a+a \sin (x))^2} \, dx\)
 3.21 \(\int \frac{\sin ^6(x)}{(a+a \sin (x))^3} \, dx\)
 3.22 \(\int \frac{\sin ^5(x)}{(a+a \sin (x))^3} \, dx\)
 3.23 \(\int \frac{\sin ^4(x)}{(a+a \sin (x))^3} \, dx\)
 3.24 \(\int \frac{\sin ^3(x)}{(a+a \sin (x))^3} \, dx\)
 3.25 \(\int \frac{\sin ^2(x)}{(a+a \sin (x))^3} \, dx\)
 3.26 \(\int \frac{\sin (x)}{(a+a \sin (x))^3} \, dx\)
 3.27 \(\int \frac{1}{(a+a \sin (x))^3} \, dx\)
 3.28 \(\int \frac{\csc (x)}{(a+a \sin (x))^3} \, dx\)
 3.29 \(\int \frac{\csc ^2(x)}{(a+a \sin (x))^3} \, dx\)
 3.30 \(\int \frac{\csc ^3(x)}{(a+a \sin (x))^3} \, dx\)
 3.31 \(\int \frac{\csc ^4(x)}{(a+a \sin (x))^3} \, dx\)
 3.32 \(\int \sin ^4(c+d x) \sqrt{a+a \sin (c+d x)} \, dx\)
 3.33 \(\int \sin ^3(c+d x) \sqrt{a+a \sin (c+d x)} \, dx\)
 3.34 \(\int \sin ^2(c+d x) \sqrt{a+a \sin (c+d x)} \, dx\)
 3.35 \(\int \sin (c+d x) \sqrt{a+a \sin (c+d x)} \, dx\)
 3.36 \(\int \sqrt{a+a \sin (c+d x)} \, dx\)
 3.37 \(\int \csc (c+d x) \sqrt{a+a \sin (c+d x)} \, dx\)
 3.38 \(\int \csc ^2(c+d x) \sqrt{a+a \sin (c+d x)} \, dx\)
 3.39 \(\int \csc ^3(c+d x) \sqrt{a+a \sin (c+d x)} \, dx\)
 3.40 \(\int \csc ^4(c+d x) \sqrt{a+a \sin (c+d x)} \, dx\)
 3.41 \(\int \csc (c+d x) \sqrt{a-a \sin (c+d x)} \, dx\)
 3.42 \(\int \csc (c+d x) \sqrt{-a+a \sin (c+d x)} \, dx\)
 3.43 \(\int \csc (c+d x) \sqrt{-a-a \sin (c+d x)} \, dx\)
 3.44 \(\int \sin ^3(c+d x) (a+a \sin (c+d x))^{3/2} \, dx\)
 3.45 \(\int \sin ^2(c+d x) (a+a \sin (c+d x))^{3/2} \, dx\)
 3.46 \(\int \sin (c+d x) (a+a \sin (c+d x))^{3/2} \, dx\)
 3.47 \(\int (a+a \sin (c+d x))^{3/2} \, dx\)
 3.48 \(\int \csc (c+d x) (a+a \sin (c+d x))^{3/2} \, dx\)
 3.49 \(\int \csc ^2(c+d x) (a+a \sin (c+d x))^{3/2} \, dx\)
 3.50 \(\int \csc ^3(c+d x) (a+a \sin (c+d x))^{3/2} \, dx\)
 3.51 \(\int \csc ^4(c+d x) (a+a \sin (c+d x))^{3/2} \, dx\)
 3.52 \(\int \sin ^3(c+d x) (a+a \sin (c+d x))^{5/2} \, dx\)
 3.53 \(\int \sin ^2(c+d x) (a+a \sin (c+d x))^{5/2} \, dx\)
 3.54 \(\int \sin (c+d x) (a+a \sin (c+d x))^{5/2} \, dx\)
 3.55 \(\int (a+a \sin (c+d x))^{5/2} \, dx\)
 3.56 \(\int \csc (c+d x) (a+a \sin (c+d x))^{5/2} \, dx\)
 3.57 \(\int \csc ^2(c+d x) (a+a \sin (c+d x))^{5/2} \, dx\)
 3.58 \(\int \csc ^3(c+d x) (a+a \sin (c+d x))^{5/2} \, dx\)
 3.59 \(\int \csc ^4(c+d x) (a+a \sin (c+d x))^{5/2} \, dx\)
 3.60 \(\int \csc ^5(c+d x) (a+a \sin (c+d x))^{5/2} \, dx\)
 3.61 \(\int \frac{\sin ^3(c+d x)}{\sqrt{a+a \sin (c+d x)}} \, dx\)
 3.62 \(\int \frac{\sin ^2(c+d x)}{\sqrt{a+a \sin (c+d x)}} \, dx\)
 3.63 \(\int \frac{\sin (c+d x)}{\sqrt{a+a \sin (c+d x)}} \, dx\)
 3.64 \(\int \frac{1}{\sqrt{a+a \sin (c+d x)}} \, dx\)
 3.65 \(\int \frac{\csc (c+d x)}{\sqrt{a+a \sin (c+d x)}} \, dx\)
 3.66 \(\int \frac{\csc ^2(c+d x)}{\sqrt{a+a \sin (c+d x)}} \, dx\)
 3.67 \(\int \frac{\csc ^3(c+d x)}{\sqrt{a+a \sin (c+d x)}} \, dx\)
 3.68 \(\int \frac{\sin ^4(c+d x)}{(a+a \sin (c+d x))^{3/2}} \, dx\)
 3.69 \(\int \frac{\sin ^3(c+d x)}{(a+a \sin (c+d x))^{3/2}} \, dx\)
 3.70 \(\int \frac{\sin ^2(c+d x)}{(a+a \sin (c+d x))^{3/2}} \, dx\)
 3.71 \(\int \frac{\sin (c+d x)}{(a+a \sin (c+d x))^{3/2}} \, dx\)
 3.72 \(\int \frac{1}{(a+a \sin (c+d x))^{3/2}} \, dx\)
 3.73 \(\int \frac{\csc (c+d x)}{(a+a \sin (c+d x))^{3/2}} \, dx\)
 3.74 \(\int \frac{\csc ^2(c+d x)}{(a+a \sin (c+d x))^{3/2}} \, dx\)
 3.75 \(\int \frac{\csc ^3(c+d x)}{(a+a \sin (c+d x))^{3/2}} \, dx\)
 3.76 \(\int \frac{\sin ^5(c+d x)}{(a+a \sin (c+d x))^{5/2}} \, dx\)
 3.77 \(\int \frac{\sin ^4(c+d x)}{(a+a \sin (c+d x))^{5/2}} \, dx\)
 3.78 \(\int \frac{\sin ^3(c+d x)}{(a+a \sin (c+d x))^{5/2}} \, dx\)
 3.79 \(\int \frac{\sin ^2(c+d x)}{(a+a \sin (c+d x))^{5/2}} \, dx\)
 3.80 \(\int \frac{\sin (c+d x)}{(a+a \sin (c+d x))^{5/2}} \, dx\)
 3.81 \(\int \frac{1}{(a+a \sin (c+d x))^{5/2}} \, dx\)
 3.82 \(\int \frac{\csc (c+d x)}{(a+a \sin (c+d x))^{5/2}} \, dx\)
 3.83 \(\int \frac{\csc ^2(c+d x)}{(a+a \sin (c+d x))^{5/2}} \, dx\)
 3.84 \(\int \frac{\csc ^3(c+d x)}{(a+a \sin (c+d x))^{5/2}} \, dx\)
 3.85 \(\int \frac{\sqrt{a+a \sin (e+f x)}}{\sqrt{\sin (e+f x)}} \, dx\)
 3.86 \(\int \frac{\sqrt{a-a \sin (e+f x)}}{\sqrt{-\sin (e+f x)}} \, dx\)
 3.87 \(\int \frac{1}{\sqrt{\sin (x)} \sqrt{1+\sin (x)}} \, dx\)
 3.88 \(\int \frac{1}{\sqrt{\sin (x)} \sqrt{a+a \sin (x)}} \, dx\)
 3.89 \(\int \frac{1}{\sqrt{1-\sin (x)} \sqrt{\sin (x)}} \, dx\)
 3.90 \(\int \frac{1}{\sqrt{\sin (x)} \sqrt{a-a \sin (x)}} \, dx\)
 3.91 \(\int \frac{\sqrt [3]{\sin (c+d x)}}{(a+a \sin (c+d x))^2} \, dx\)
 3.92 \(\int \sin ^3(c+d x) (a+a \sin (c+d x))^{2/3} \, dx\)
 3.93 \(\int \sin ^2(c+d x) (a+a \sin (c+d x))^{2/3} \, dx\)
 3.94 \(\int \sin (c+d x) (a+a \sin (c+d x))^{2/3} \, dx\)
 3.95 \(\int (a+a \sin (c+d x))^{2/3} \, dx\)
 3.96 \(\int \csc (c+d x) (a+a \sin (c+d x))^{2/3} \, dx\)
 3.97 \(\int \csc ^2(c+d x) (a+a \sin (c+d x))^{2/3} \, dx\)
 3.98 \(\int \sin ^3(c+d x) (a+a \sin (c+d x))^{4/3} \, dx\)
 3.99 \(\int \sin ^2(c+d x) (a+a \sin (c+d x))^{4/3} \, dx\)
 3.100 \(\int \sin (c+d x) (a+a \sin (c+d x))^{4/3} \, dx\)
 3.101 \(\int (a+a \sin (c+d x))^{4/3} \, dx\)
 3.102 \(\int \csc (c+d x) (a+a \sin (c+d x))^{4/3} \, dx\)
 3.103 \(\int \csc ^2(c+d x) (a+a \sin (c+d x))^{4/3} \, dx\)
 3.104 \(\int \frac{\sin ^3(c+d x)}{\sqrt [3]{a+a \sin (c+d x)}} \, dx\)
 3.105 \(\int \frac{\sin ^2(c+d x)}{\sqrt [3]{a+a \sin (c+d x)}} \, dx\)
 3.106 \(\int \frac{\sin (c+d x)}{\sqrt [3]{a+a \sin (c+d x)}} \, dx\)
 3.107 \(\int \frac{1}{\sqrt [3]{a+a \sin (c+d x)}} \, dx\)
 3.108 \(\int \frac{\csc (c+d x)}{\sqrt [3]{a+a \sin (c+d x)}} \, dx\)
 3.109 \(\int \frac{\csc ^2(c+d x)}{\sqrt [3]{a+a \sin (c+d x)}} \, dx\)
 3.110 \(\int \frac{\sin ^3(c+d x)}{(a+a \sin (c+d x))^{4/3}} \, dx\)
 3.111 \(\int \frac{\sin ^2(c+d x)}{(a+a \sin (c+d x))^{4/3}} \, dx\)
 3.112 \(\int \frac{\sin (c+d x)}{(a+a \sin (c+d x))^{4/3}} \, dx\)
 3.113 \(\int \frac{1}{(a+a \sin (c+d x))^{4/3}} \, dx\)
 3.114 \(\int \frac{\csc (c+d x)}{(a+a \sin (c+d x))^{4/3}} \, dx\)
 3.115 \(\int \frac{\csc ^2(c+d x)}{(a+a \sin (c+d x))^{4/3}} \, dx\)
 3.116 \(\int \sin ^n(e+f x) (1+\sin (e+f x))^{3/2} \, dx\)
 3.117 \(\int \sin ^n(e+f x) \sqrt{1+\sin (e+f x)} \, dx\)
 3.118 \(\int \frac{\sin ^n(e+f x)}{\sqrt{1+\sin (e+f x)}} \, dx\)
 3.119 \(\int \frac{\sin ^n(e+f x)}{(1+\sin (e+f x))^{3/2}} \, dx\)
 3.120 \(\int \sin ^n(e+f x) (a+a \sin (e+f x))^{3/2} \, dx\)
 3.121 \(\int \sin ^n(e+f x) \sqrt{a+a \sin (e+f x)} \, dx\)
 3.122 \(\int \frac{\sin ^n(e+f x)}{\sqrt{a+a \sin (e+f x)}} \, dx\)
 3.123 \(\int \frac{\sin ^n(e+f x)}{(a+a \sin (e+f x))^{3/2}} \, dx\)
 3.124 \(\int (d \sin (e+f x))^n (1+\sin (e+f x))^{3/2} \, dx\)
 3.125 \(\int (d \sin (e+f x))^n \sqrt{1+\sin (e+f x)} \, dx\)
 3.126 \(\int \frac{(d \sin (e+f x))^n}{\sqrt{1+\sin (e+f x)}} \, dx\)
 3.127 \(\int \frac{(d \sin (e+f x))^n}{(1+\sin (e+f x))^{3/2}} \, dx\)
 3.128 \(\int (d \sin (e+f x))^n (a+a \sin (e+f x))^{3/2} \, dx\)
 3.129 \(\int (d \sin (e+f x))^n \sqrt{a+a \sin (e+f x)} \, dx\)
 3.130 \(\int \frac{(d \sin (e+f x))^n}{\sqrt{a+a \sin (e+f x)}} \, dx\)
 3.131 \(\int \frac{(d \sin (e+f x))^n}{(a+a \sin (e+f x))^{3/2}} \, dx\)
 3.132 \(\int \sin ^n(e+f x) (1+\sin (e+f x))^m \, dx\)
 3.133 \(\int (1-\sin (e+f x))^m (-\sin (e+f x))^n \, dx\)
 3.134 \(\int (d \sin (e+f x))^n (1+\sin (e+f x))^m \, dx\)
 3.135 \(\int (1-\sin (e+f x))^m (d \sin (e+f x))^n \, dx\)
 3.136 \(\int \sin ^n(e+f x) (a+a \sin (e+f x))^m \, dx\)
 3.137 \(\int (-\sin (e+f x))^n (a-a \sin (e+f x))^m \, dx\)
 3.138 \(\int (d \sin (e+f x))^n (a+a \sin (e+f x))^m \, dx\)
 3.139 \(\int (d \sin (e+f x))^n (a-a \sin (e+f x))^m \, dx\)
 3.140 \(\int \sin ^4(c+d x) (a+a \sin (c+d x))^n \, dx\)
 3.141 \(\int \sin ^3(c+d x) (a+a \sin (c+d x))^n \, dx\)
 3.142 \(\int \sin ^2(c+d x) (a+a \sin (c+d x))^n \, dx\)
 3.143 \(\int \sin (c+d x) (a+a \sin (c+d x))^n \, dx\)
 3.144 \(\int (a+a \sin (c+d x))^n \, dx\)
 3.145 \(\int \csc (c+d x) (a+a \sin (c+d x))^n \, dx\)
 3.146 \(\int \csc ^2(c+d x) (a+a \sin (c+d x))^n \, dx\)
 3.147 \(\int (1+\sin (c+d x))^n \, dx\)
 3.148 \(\int (1-\sin (c+d x))^n \, dx\)
 3.149 \(\int \sin ^3(e+f x) (a+b \sin (e+f x)) \, dx\)
 3.150 \(\int \sin ^2(e+f x) (a+b \sin (e+f x)) \, dx\)
 3.151 \(\int \sin (e+f x) (a+b \sin (e+f x)) \, dx\)
 3.152 \(\int (a+b \sin (e+f x)) \, dx\)
 3.153 \(\int \csc (e+f x) (a+b \sin (e+f x)) \, dx\)
 3.154 \(\int \csc ^2(e+f x) (a+b \sin (e+f x)) \, dx\)
 3.155 \(\int \csc ^3(e+f x) (a+b \sin (e+f x)) \, dx\)
 3.156 \(\int \csc ^4(e+f x) (a+b \sin (e+f x)) \, dx\)
 3.157 \(\int \sin ^3(e+f x) (a+b \sin (e+f x))^2 \, dx\)
 3.158 \(\int \sin ^2(e+f x) (a+b \sin (e+f x))^2 \, dx\)
 3.159 \(\int \sin (e+f x) (a+b \sin (e+f x))^2 \, dx\)
 3.160 \(\int (a+b \sin (e+f x))^2 \, dx\)
 3.161 \(\int \csc (e+f x) (a+b \sin (e+f x))^2 \, dx\)
 3.162 \(\int \csc ^2(e+f x) (a+b \sin (e+f x))^2 \, dx\)
 3.163 \(\int \csc ^3(e+f x) (a+b \sin (e+f x))^2 \, dx\)
 3.164 \(\int \csc ^4(e+f x) (a+b \sin (e+f x))^2 \, dx\)
 3.165 \(\int \csc ^5(e+f x) (a+b \sin (e+f x))^2 \, dx\)
 3.166 \(\int \sin ^3(e+f x) (a+b \sin (e+f x))^3 \, dx\)
 3.167 \(\int \sin ^2(e+f x) (a+b \sin (e+f x))^3 \, dx\)
 3.168 \(\int \sin (e+f x) (a+b \sin (e+f x))^3 \, dx\)
 3.169 \(\int (a+b \sin (e+f x))^3 \, dx\)
 3.170 \(\int \csc (e+f x) (a+b \sin (e+f x))^3 \, dx\)
 3.171 \(\int \csc ^2(e+f x) (a+b \sin (e+f x))^3 \, dx\)
 3.172 \(\int \csc ^3(e+f x) (a+b \sin (e+f x))^3 \, dx\)
 3.173 \(\int \csc ^4(e+f x) (a+b \sin (e+f x))^3 \, dx\)
 3.174 \(\int \csc ^5(e+f x) (a+b \sin (e+f x))^3 \, dx\)
 3.175 \(\int (a+b \sin (e+f x))^4 \, dx\)
 3.176 \(\int \frac{\sin ^4(x)}{a+b \sin (x)} \, dx\)
 3.177 \(\int \frac{\sin ^3(x)}{a+b \sin (x)} \, dx\)
 3.178 \(\int \frac{\sin ^2(x)}{a+b \sin (x)} \, dx\)
 3.179 \(\int \frac{\sin (x)}{a+b \sin (x)} \, dx\)
 3.180 \(\int \frac{1}{a+b \sin (x)} \, dx\)
 3.181 \(\int \frac{\csc (x)}{a+b \sin (x)} \, dx\)
 3.182 \(\int \frac{\csc ^2(x)}{a+b \sin (x)} \, dx\)
 3.183 \(\int \frac{\csc ^3(x)}{a+b \sin (x)} \, dx\)
 3.184 \(\int \frac{\csc ^4(x)}{a+b \sin (x)} \, dx\)
 3.185 \(\int \frac{\sin ^4(x)}{(a+b \sin (x))^2} \, dx\)
 3.186 \(\int \frac{\sin ^3(x)}{(a+b \sin (x))^2} \, dx\)
 3.187 \(\int \frac{\sin ^2(x)}{(a+b \sin (x))^2} \, dx\)
 3.188 \(\int \frac{\sin (x)}{(a+b \sin (x))^2} \, dx\)
 3.189 \(\int \frac{1}{(a+b \sin (x))^2} \, dx\)
 3.190 \(\int \frac{\csc (x)}{(a+b \sin (x))^2} \, dx\)
 3.191 \(\int \frac{\csc ^2(x)}{(a+b \sin (x))^2} \, dx\)
 3.192 \(\int \frac{\csc ^3(x)}{(a+b \sin (x))^2} \, dx\)
 3.193 \(\int \frac{\sin ^5(x)}{(a+b \sin (x))^3} \, dx\)
 3.194 \(\int \frac{\sin ^4(x)}{(a+b \sin (x))^3} \, dx\)
 3.195 \(\int \frac{\sin ^3(x)}{(a+b \sin (x))^3} \, dx\)
 3.196 \(\int \frac{\sin ^2(x)}{(a+b \sin (x))^3} \, dx\)
 3.197 \(\int \frac{\sin (x)}{(a+b \sin (x))^3} \, dx\)
 3.198 \(\int \frac{1}{(a+b \sin (x))^3} \, dx\)
 3.199 \(\int \frac{\csc (x)}{(a+b \sin (x))^3} \, dx\)
 3.200 \(\int \frac{\csc ^2(x)}{(a+b \sin (x))^3} \, dx\)
 3.201 \(\int \frac{\csc ^3(x)}{(a+b \sin (x))^3} \, dx\)
 3.202 \(\int \frac{1}{(a+b \sin (c+d x))^4} \, dx\)
 3.203 \(\int \sin (e+f x) \sqrt{a+b \sin (e+f x)} \, dx\)
 3.204 \(\int \sqrt{a+b \sin (e+f x)} \, dx\)
 3.205 \(\int \csc (e+f x) \sqrt{a+b \sin (e+f x)} \, dx\)
 3.206 \(\int \csc ^2(e+f x) \sqrt{a+b \sin (e+f x)} \, dx\)
 3.207 \(\int \frac{\sin (e+f x)}{\sqrt{a+b \sin (e+f x)}} \, dx\)
 3.208 \(\int \frac{1}{\sqrt{a+b \sin (e+f x)}} \, dx\)
 3.209 \(\int \frac{\csc (e+f x)}{\sqrt{a+b \sin (e+f x)}} \, dx\)
 3.210 \(\int \frac{\csc ^2(e+f x)}{\sqrt{a+b \sin (e+f x)}} \, dx\)
 3.211 \(\int \sqrt{\sin (c+d x)} \sqrt{a+b \sin (c+d x)} \, dx\)
 3.212 \(\int \frac{1}{\sqrt{\sin (c+d x)} \sqrt{a+b \sin (c+d x)}} \, dx\)
 3.213 \(\int (d \sin (e+f x))^m (a+b \sin (e+f x))^3 \, dx\)
 3.214 \(\int (d \sin (e+f x))^m (a+b \sin (e+f x))^2 \, dx\)
 3.215 \(\int (d \sin (e+f x))^m (a+b \sin (e+f x)) \, dx\)
 3.216 \(\int \frac{(d \sin (e+f x))^m}{a+b \sin (e+f x)} \, dx\)
 3.217 \(\int \frac{(d \sin (e+f x))^m}{(a+b \sin (e+f x))^2} \, dx\)
 3.218 \(\int \frac{(d \sin (e+f x))^m}{(a+b \sin (e+f x))^3} \, dx\)
 3.219 \(\int \sin ^{-1-\frac{a^2}{a^2+b^2}}(c+d x) (a+b \sin (c+d x))^2 \, dx\)
 3.220 \(\int \frac{(1+2 \sin (c+d x))^2}{\sin ^{\frac{6}{5}}(c+d x)} \, dx\)
 3.221 \(\int \sin ^m(c+d x) (a+b \sin (c+d x))^n \, dx\)
 3.222 \(\int \sin ^3(c+d x) (a+b \sin (c+d x))^n \, dx\)
 3.223 \(\int \sin ^2(c+d x) (a+b \sin (c+d x))^n \, dx\)
 3.224 \(\int \sin (c+d x) (a+b \sin (c+d x))^n \, dx\)
 3.225 \(\int (a+b \sin (c+d x))^n \, dx\)
 3.226 \(\int \csc (c+d x) (a+b \sin (c+d x))^n \, dx\)
 3.227 \(\int (a+a \sin (e+f x)) (c-c \sin (e+f x))^4 \, dx\)
 3.228 \(\int (a+a \sin (e+f x)) (c-c \sin (e+f x))^3 \, dx\)
 3.229 \(\int (a+a \sin (e+f x)) (c-c \sin (e+f x))^2 \, dx\)
 3.230 \(\int (a+a \sin (e+f x)) (c-c \sin (e+f x)) \, dx\)
 3.231 \(\int \frac{a+a \sin (e+f x)}{c-c \sin (e+f x)} \, dx\)
 3.232 \(\int \frac{a+a \sin (e+f x)}{(c-c \sin (e+f x))^2} \, dx\)
 3.233 \(\int \frac{a+a \sin (e+f x)}{(c-c \sin (e+f x))^3} \, dx\)
 3.234 \(\int \frac{a+a \sin (e+f x)}{(c-c \sin (e+f x))^4} \, dx\)
 3.235 \(\int \frac{a+a \sin (e+f x)}{(c-c \sin (e+f x))^5} \, dx\)
 3.236 \(\int (a+a \sin (e+f x))^2 (c-c \sin (e+f x))^5 \, dx\)
 3.237 \(\int (a+a \sin (e+f x))^2 (c-c \sin (e+f x))^4 \, dx\)
 3.238 \(\int (a+a \sin (e+f x))^2 (c-c \sin (e+f x))^3 \, dx\)
 3.239 \(\int (a+a \sin (e+f x))^2 (c-c \sin (e+f x))^2 \, dx\)
 3.240 \(\int (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\)
 3.241 \(\int \frac{(a+a \sin (e+f x))^2}{c-c \sin (e+f x)} \, dx\)
 3.242 \(\int \frac{(a+a \sin (e+f x))^2}{(c-c \sin (e+f x))^2} \, dx\)
 3.243 \(\int \frac{(a+a \sin (e+f x))^2}{(c-c \sin (e+f x))^3} \, dx\)
 3.244 \(\int \frac{(a+a \sin (e+f x))^2}{(c-c \sin (e+f x))^4} \, dx\)
 3.245 \(\int \frac{(a+a \sin (e+f x))^2}{(c-c \sin (e+f x))^5} \, dx\)
 3.246 \(\int \frac{(a+a \sin (e+f x))^2}{(c-c \sin (e+f x))^6} \, dx\)
 3.247 \(\int (a+a \sin (e+f x))^3 (c-c \sin (e+f x))^6 \, dx\)
 3.248 \(\int (a+a \sin (e+f x))^3 (c-c \sin (e+f x))^5 \, dx\)
 3.249 \(\int (a+a \sin (e+f x))^3 (c-c \sin (e+f x))^4 \, dx\)
 3.250 \(\int (a+a \sin (e+f x))^3 (c-c \sin (e+f x))^3 \, dx\)
 3.251 \(\int (a+a \sin (e+f x))^3 (c-c \sin (e+f x))^2 \, dx\)
 3.252 \(\int (a+a \sin (e+f x))^3 (c-c \sin (e+f x)) \, dx\)
 3.253 \(\int \frac{(a+a \sin (e+f x))^3}{c-c \sin (e+f x)} \, dx\)
 3.254 \(\int \frac{(a+a \sin (e+f x))^3}{(c-c \sin (e+f x))^2} \, dx\)
 3.255 \(\int \frac{(a+a \sin (e+f x))^3}{(c-c \sin (e+f x))^3} \, dx\)
 3.256 \(\int \frac{(a+a \sin (e+f x))^3}{(c-c \sin (e+f x))^4} \, dx\)
 3.257 \(\int \frac{(a+a \sin (e+f x))^3}{(c-c \sin (e+f x))^5} \, dx\)
 3.258 \(\int \frac{(a+a \sin (e+f x))^3}{(c-c \sin (e+f x))^6} \, dx\)
 3.259 \(\int \frac{(a+a \sin (e+f x))^3}{(c-c \sin (e+f x))^7} \, dx\)
 3.260 \(\int \frac{(a+a \sin (e+f x))^3}{(c-c \sin (e+f x))^8} \, dx\)
 3.261 \(\int \frac{(c-c \sin (e+f x))^4}{a+a \sin (e+f x)} \, dx\)
 3.262 \(\int \frac{(c-c \sin (e+f x))^3}{a+a \sin (e+f x)} \, dx\)
 3.263 \(\int \frac{(c-c \sin (e+f x))^2}{a+a \sin (e+f x)} \, dx\)
 3.264 \(\int \frac{c-c \sin (e+f x)}{a+a \sin (e+f x)} \, dx\)
 3.265 \(\int \frac{1}{(a+a \sin (e+f x)) (c-c \sin (e+f x))} \, dx\)
 3.266 \(\int \frac{1}{(a+a \sin (e+f x)) (c-c \sin (e+f x))^2} \, dx\)
 3.267 \(\int \frac{1}{(a+a \sin (e+f x)) (c-c \sin (e+f x))^3} \, dx\)
 3.268 \(\int \frac{1}{(a+a \sin (e+f x)) (c-c \sin (e+f x))^4} \, dx\)
 3.269 \(\int \frac{(c-c \sin (e+f x))^5}{(a+a \sin (e+f x))^2} \, dx\)
 3.270 \(\int \frac{(c-c \sin (e+f x))^4}{(a+a \sin (e+f x))^2} \, dx\)
 3.271 \(\int \frac{(c-c \sin (e+f x))^3}{(a+a \sin (e+f x))^2} \, dx\)
 3.272 \(\int \frac{(c-c \sin (e+f x))^2}{(a+a \sin (e+f x))^2} \, dx\)
 3.273 \(\int \frac{c-c \sin (e+f x)}{(a+a \sin (e+f x))^2} \, dx\)
 3.274 \(\int \frac{1}{(a+a \sin (e+f x))^2 (c-c \sin (e+f x))} \, dx\)
 3.275 \(\int \frac{1}{(a+a \sin (e+f x))^2 (c-c \sin (e+f x))^2} \, dx\)
 3.276 \(\int \frac{1}{(a+a \sin (e+f x))^2 (c-c \sin (e+f x))^3} \, dx\)
 3.277 \(\int \frac{1}{(a+a \sin (e+f x))^2 (c-c \sin (e+f x))^4} \, dx\)
 3.278 \(\int \frac{1}{(a+a \sin (e+f x))^2 (c-c \sin (e+f x))^5} \, dx\)
 3.279 \(\int \frac{(c-c \sin (e+f x))^5}{(a+a \sin (e+f x))^3} \, dx\)
 3.280 \(\int \frac{(c-c \sin (e+f x))^4}{(a+a \sin (e+f x))^3} \, dx\)
 3.281 \(\int \frac{(c-c \sin (e+f x))^3}{(a+a \sin (e+f x))^3} \, dx\)
 3.282 \(\int \frac{(c-c \sin (e+f x))^2}{(a+a \sin (e+f x))^3} \, dx\)
 3.283 \(\int \frac{c-c \sin (e+f x)}{(a+a \sin (e+f x))^3} \, dx\)
 3.284 \(\int \frac{1}{(a+a \sin (e+f x))^3 (c-c \sin (e+f x))} \, dx\)
 3.285 \(\int \frac{1}{(a+a \sin (e+f x))^3 (c-c \sin (e+f x))^2} \, dx\)
 3.286 \(\int \frac{1}{(a+a \sin (e+f x))^3 (c-c \sin (e+f x))^3} \, dx\)
 3.287 \(\int \frac{1}{(a+a \sin (e+f x))^3 (c-c \sin (e+f x))^4} \, dx\)
 3.288 \(\int \frac{1}{(a+a \sin (e+f x))^3 (c-c \sin (e+f x))^5} \, dx\)
 3.289 \(\int \frac{1}{(a+a \sin (e+f x))^3 (c-c \sin (e+f x))^6} \, dx\)
 3.290 \(\int (a+a \sin (e+f x)) (c-c \sin (e+f x))^{7/2} \, dx\)
 3.291 \(\int (a+a \sin (e+f x)) (c-c \sin (e+f x))^{5/2} \, dx\)
 3.292 \(\int (a+a \sin (e+f x)) (c-c \sin (e+f x))^{3/2} \, dx\)
 3.293 \(\int (a+a \sin (e+f x)) \sqrt{c-c \sin (e+f x)} \, dx\)
 3.294 \(\int \frac{a+a \sin (e+f x)}{\sqrt{c-c \sin (e+f x)}} \, dx\)
 3.295 \(\int \frac{a+a \sin (e+f x)}{(c-c \sin (e+f x))^{3/2}} \, dx\)
 3.296 \(\int \frac{a+a \sin (e+f x)}{(c-c \sin (e+f x))^{5/2}} \, dx\)
 3.297 \(\int \frac{a+a \sin (e+f x)}{(c-c \sin (e+f x))^{7/2}} \, dx\)
 3.298 \(\int (a+a \sin (e+f x))^2 (c-c \sin (e+f x))^{7/2} \, dx\)
 3.299 \(\int (a+a \sin (e+f x))^2 (c-c \sin (e+f x))^{5/2} \, dx\)
 3.300 \(\int (a+a \sin (e+f x))^2 (c-c \sin (e+f x))^{3/2} \, dx\)
 3.301 \(\int (a+a \sin (e+f x))^2 \sqrt{c-c \sin (e+f x)} \, dx\)
 3.302 \(\int \frac{(a+a \sin (e+f x))^2}{\sqrt{c-c \sin (e+f x)}} \, dx\)
 3.303 \(\int \frac{(a+a \sin (e+f x))^2}{(c-c \sin (e+f x))^{3/2}} \, dx\)
 3.304 \(\int \frac{(a+a \sin (e+f x))^2}{(c-c \sin (e+f x))^{5/2}} \, dx\)
 3.305 \(\int \frac{(a+a \sin (e+f x))^2}{(c-c \sin (e+f x))^{7/2}} \, dx\)
 3.306 \(\int \frac{(a+a \sin (e+f x))^2}{(c-c \sin (e+f x))^{9/2}} \, dx\)
 3.307 \(\int (a+a \sin (e+f x))^3 (c-c \sin (e+f x))^{7/2} \, dx\)
 3.308 \(\int (a+a \sin (e+f x))^3 (c-c \sin (e+f x))^{5/2} \, dx\)
 3.309 \(\int (a+a \sin (e+f x))^3 (c-c \sin (e+f x))^{3/2} \, dx\)
 3.310 \(\int (a+a \sin (e+f x))^3 \sqrt{c-c \sin (e+f x)} \, dx\)
 3.311 \(\int \frac{(a+a \sin (e+f x))^3}{\sqrt{c-c \sin (e+f x)}} \, dx\)
 3.312 \(\int \frac{(a+a \sin (e+f x))^3}{(c-c \sin (e+f x))^{3/2}} \, dx\)
 3.313 \(\int \frac{(a+a \sin (e+f x))^3}{(c-c \sin (e+f x))^{5/2}} \, dx\)
 3.314 \(\int \frac{(a+a \sin (e+f x))^3}{(c-c \sin (e+f x))^{7/2}} \, dx\)
 3.315 \(\int \frac{(a+a \sin (e+f x))^3}{(c-c \sin (e+f x))^{9/2}} \, dx\)
 3.316 \(\int \frac{(a+a \sin (e+f x))^3}{(c-c \sin (e+f x))^{11/2}} \, dx\)
 3.317 \(\int \frac{(c-c \sin (e+f x))^{7/2}}{a+a \sin (e+f x)} \, dx\)
 3.318 \(\int \frac{(c-c \sin (e+f x))^{5/2}}{a+a \sin (e+f x)} \, dx\)
 3.319 \(\int \frac{(c-c \sin (e+f x))^{3/2}}{a+a \sin (e+f x)} \, dx\)
 3.320 \(\int \frac{\sqrt{c-c \sin (e+f x)}}{a+a \sin (e+f x)} \, dx\)
 3.321 \(\int \frac{1}{(a+a \sin (e+f x)) \sqrt{c-c \sin (e+f x)}} \, dx\)
 3.322 \(\int \frac{1}{(a+a \sin (e+f x)) (c-c \sin (e+f x))^{3/2}} \, dx\)
 3.323 \(\int \frac{1}{(a+a \sin (e+f x)) (c-c \sin (e+f x))^{5/2}} \, dx\)
 3.324 \(\int \frac{(c-c \sin (e+f x))^{9/2}}{(a+a \sin (e+f x))^2} \, dx\)
 3.325 \(\int \frac{(c-c \sin (e+f x))^{7/2}}{(a+a \sin (e+f x))^2} \, dx\)
 3.326 \(\int \frac{(c-c \sin (e+f x))^{5/2}}{(a+a \sin (e+f x))^2} \, dx\)
 3.327 \(\int \frac{(c-c \sin (e+f x))^{3/2}}{(a+a \sin (e+f x))^2} \, dx\)
 3.328 \(\int \frac{\sqrt{c-c \sin (e+f x)}}{(a+a \sin (e+f x))^2} \, dx\)
 3.329 \(\int \frac{1}{(a+a \sin (e+f x))^2 \sqrt{c-c \sin (e+f x)}} \, dx\)
 3.330 \(\int \frac{1}{(a+a \sin (e+f x))^2 (c-c \sin (e+f x))^{3/2}} \, dx\)
 3.331 \(\int \frac{1}{(a+a \sin (e+f x))^2 (c-c \sin (e+f x))^{5/2}} \, dx\)
 3.332 \(\int \frac{(c-c \sin (e+f x))^{9/2}}{(a+a \sin (e+f x))^3} \, dx\)
 3.333 \(\int \frac{(c-c \sin (e+f x))^{7/2}}{(a+a \sin (e+f x))^3} \, dx\)
 3.334 \(\int \frac{(c-c \sin (e+f x))^{5/2}}{(a+a \sin (e+f x))^3} \, dx\)
 3.335 \(\int \frac{(c-c \sin (e+f x))^{3/2}}{(a+a \sin (e+f x))^3} \, dx\)
 3.336 \(\int \frac{\sqrt{c-c \sin (e+f x)}}{(a+a \sin (e+f x))^3} \, dx\)
 3.337 \(\int \frac{1}{(a+a \sin (e+f x))^3 \sqrt{c-c \sin (e+f x)}} \, dx\)
 3.338 \(\int \frac{1}{(a+a \sin (e+f x))^3 (c-c \sin (e+f x))^{3/2}} \, dx\)
 3.339 \(\int \frac{1}{(a+a \sin (e+f x))^3 (c-c \sin (e+f x))^{5/2}} \, dx\)
 3.340 \(\int \sqrt{a+a \sin (e+f x)} (c-c \sin (e+f x))^{7/2} \, dx\)
 3.341 \(\int \sqrt{a+a \sin (e+f x)} (c-c \sin (e+f x))^{5/2} \, dx\)
 3.342 \(\int \sqrt{a+a \sin (e+f x)} (c-c \sin (e+f x))^{3/2} \, dx\)
 3.343 \(\int \sqrt{a+a \sin (e+f x)} \sqrt{c-c \sin (e+f x)} \, dx\)
 3.344 \(\int \frac{\sqrt{a+a \sin (e+f x)}}{\sqrt{c-c \sin (e+f x)}} \, dx\)
 3.345 \(\int \frac{\sqrt{a+a \sin (e+f x)}}{(c-c \sin (e+f x))^{3/2}} \, dx\)
 3.346 \(\int \frac{\sqrt{a+a \sin (e+f x)}}{(c-c \sin (e+f x))^{5/2}} \, dx\)
 3.347 \(\int \frac{\sqrt{a+a \sin (e+f x)}}{(c-c \sin (e+f x))^{7/2}} \, dx\)
 3.348 \(\int (a+a \sin (e+f x))^{3/2} (c-c \sin (e+f x))^{7/2} \, dx\)
 3.349 \(\int (a+a \sin (e+f x))^{3/2} (c-c \sin (e+f x))^{5/2} \, dx\)
 3.350 \(\int (a+a \sin (e+f x))^{3/2} (c-c \sin (e+f x))^{3/2} \, dx\)
 3.351 \(\int (a+a \sin (e+f x))^{3/2} \sqrt{c-c \sin (e+f x)} \, dx\)
 3.352 \(\int \frac{(a+a \sin (e+f x))^{3/2}}{\sqrt{c-c \sin (e+f x)}} \, dx\)
 3.353 \(\int \frac{(a+a \sin (e+f x))^{3/2}}{(c-c \sin (e+f x))^{3/2}} \, dx\)
 3.354 \(\int \frac{(a+a \sin (e+f x))^{3/2}}{(c-c \sin (e+f x))^{5/2}} \, dx\)
 3.355 \(\int \frac{(a+a \sin (e+f x))^{3/2}}{(c-c \sin (e+f x))^{7/2}} \, dx\)
 3.356 \(\int \frac{(a+a \sin (e+f x))^{3/2}}{(c-c \sin (e+f x))^{9/2}} \, dx\)
 3.357 \(\int \frac{(a+a \sin (e+f x))^{3/2}}{(c-c \sin (e+f x))^{11/2}} \, dx\)
 3.358 \(\int (a+a \sin (e+f x))^{5/2} (c-c \sin (e+f x))^{7/2} \, dx\)
 3.359 \(\int (a+a \sin (e+f x))^{5/2} (c-c \sin (e+f x))^{5/2} \, dx\)
 3.360 \(\int (a+a \sin (e+f x))^{5/2} (c-c \sin (e+f x))^{3/2} \, dx\)
 3.361 \(\int (a+a \sin (e+f x))^{5/2} \sqrt{c-c \sin (e+f x)} \, dx\)
 3.362 \(\int \frac{(a+a \sin (e+f x))^{5/2}}{\sqrt{c-c \sin (e+f x)}} \, dx\)
 3.363 \(\int \frac{(a+a \sin (e+f x))^{5/2}}{(c-c \sin (e+f x))^{3/2}} \, dx\)
 3.364 \(\int \frac{(a+a \sin (e+f x))^{5/2}}{(c-c \sin (e+f x))^{5/2}} \, dx\)
 3.365 \(\int \frac{(a+a \sin (e+f x))^{5/2}}{(c-c \sin (e+f x))^{7/2}} \, dx\)
 3.366 \(\int \frac{(a+a \sin (e+f x))^{5/2}}{(c-c \sin (e+f x))^{9/2}} \, dx\)
 3.367 \(\int \frac{(a+a \sin (e+f x))^{5/2}}{(c-c \sin (e+f x))^{11/2}} \, dx\)
 3.368 \(\int \frac{(a+a \sin (e+f x))^{5/2}}{(c-c \sin (e+f x))^{13/2}} \, dx\)
 3.369 \(\int (a+a \sin (e+f x))^{7/2} (c-c \sin (e+f x))^{9/2} \, dx\)
 3.370 \(\int (a+a \sin (e+f x))^{7/2} (c-c \sin (e+f x))^{7/2} \, dx\)
 3.371 \(\int (a+a \sin (e+f x))^{7/2} (c-c \sin (e+f x))^{5/2} \, dx\)
 3.372 \(\int (a+a \sin (e+f x))^{7/2} (c-c \sin (e+f x))^{3/2} \, dx\)
 3.373 \(\int (a+a \sin (e+f x))^{7/2} \sqrt{c-c \sin (e+f x)} \, dx\)
 3.374 \(\int \frac{(a+a \sin (e+f x))^{7/2}}{\sqrt{c-c \sin (e+f x)}} \, dx\)
 3.375 \(\int \frac{(a+a \sin (e+f x))^{7/2}}{(c-c \sin (e+f x))^{3/2}} \, dx\)
 3.376 \(\int \frac{(a+a \sin (e+f x))^{7/2}}{(c-c \sin (e+f x))^{5/2}} \, dx\)
 3.377 \(\int \frac{(a+a \sin (e+f x))^{7/2}}{(c-c \sin (e+f x))^{7/2}} \, dx\)
 3.378 \(\int \frac{(a+a \sin (e+f x))^{7/2}}{(c-c \sin (e+f x))^{9/2}} \, dx\)
 3.379 \(\int \frac{(a+a \sin (e+f x))^{7/2}}{(c-c \sin (e+f x))^{11/2}} \, dx\)
 3.380 \(\int \frac{(a+a \sin (e+f x))^{7/2}}{(c-c \sin (e+f x))^{13/2}} \, dx\)
 3.381 \(\int \frac{(a+a \sin (e+f x))^{7/2}}{(c-c \sin (e+f x))^{15/2}} \, dx\)
 3.382 \(\int \frac{(a+a \sin (e+f x))^{7/2}}{(c-c \sin (e+f x))^{17/2}} \, dx\)
 3.383 \(\int \frac{(c-c \sin (e+f x))^{5/2}}{\sqrt{a+a \sin (e+f x)}} \, dx\)
 3.384 \(\int \frac{(c-c \sin (e+f x))^{3/2}}{\sqrt{a+a \sin (e+f x)}} \, dx\)
 3.385 \(\int \frac{\sqrt{c-c \sin (e+f x)}}{\sqrt{a+a \sin (e+f x)}} \, dx\)
 3.386 \(\int \frac{1}{\sqrt{a+a \sin (e+f x)} \sqrt{c-c \sin (e+f x)}} \, dx\)
 3.387 \(\int \frac{1}{\sqrt{a+a \sin (e+f x)} (c-c \sin (e+f x))^{3/2}} \, dx\)
 3.388 \(\int \frac{1}{\sqrt{a+a \sin (e+f x)} (c-c \sin (e+f x))^{5/2}} \, dx\)
 3.389 \(\int \frac{(c-c \sin (e+f x))^{7/2}}{(a+a \sin (e+f x))^{3/2}} \, dx\)
 3.390 \(\int \frac{(c-c \sin (e+f x))^{5/2}}{(a+a \sin (e+f x))^{3/2}} \, dx\)
 3.391 \(\int \frac{(c-c \sin (e+f x))^{3/2}}{(a+a \sin (e+f x))^{3/2}} \, dx\)
 3.392 \(\int \frac{\sqrt{c-c \sin (e+f x)}}{(a+a \sin (e+f x))^{3/2}} \, dx\)
 3.393 \(\int \frac{1}{(a+a \sin (e+f x))^{3/2} \sqrt{c-c \sin (e+f x)}} \, dx\)
 3.394 \(\int \frac{1}{(a+a \sin (e+f x))^{3/2} (c-c \sin (e+f x))^{3/2}} \, dx\)
 3.395 \(\int \frac{1}{(a+a \sin (e+f x))^{3/2} (c-c \sin (e+f x))^{5/2}} \, dx\)
 3.396 \(\int \frac{(c-c \sin (e+f x))^{9/2}}{(a+a \sin (e+f x))^{5/2}} \, dx\)
 3.397 \(\int \frac{(c-c \sin (e+f x))^{7/2}}{(a+a \sin (e+f x))^{5/2}} \, dx\)
 3.398 \(\int \frac{(c-c \sin (e+f x))^{5/2}}{(a+a \sin (e+f x))^{5/2}} \, dx\)
 3.399 \(\int \frac{(c-c \sin (e+f x))^{3/2}}{(a+a \sin (e+f x))^{5/2}} \, dx\)
 3.400 \(\int \frac{\sqrt{c-c \sin (e+f x)}}{(a+a \sin (e+f x))^{5/2}} \, dx\)
 3.401 \(\int \frac{1}{(a+a \sin (e+f x))^{5/2} \sqrt{c-c \sin (e+f x)}} \, dx\)
 3.402 \(\int \frac{1}{(a+a \sin (e+f x))^{5/2} (c-c \sin (e+f x))^{3/2}} \, dx\)
 3.403 \(\int \frac{1}{(a+a \sin (e+f x))^{5/2} (c-c \sin (e+f x))^{5/2}} \, dx\)
 3.404 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^n \, dx\)
 3.405 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^3 \, dx\)
 3.406 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^2 \, dx\)
 3.407 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x)) \, dx\)
 3.408 \(\int \frac{(a+a \sin (e+f x))^m}{c-c \sin (e+f x)} \, dx\)
 3.409 \(\int \frac{(a+a \sin (e+f x))^m}{(c-c \sin (e+f x))^2} \, dx\)
 3.410 \(\int \frac{(a+a \sin (e+f x))^m}{(c-c \sin (e+f x))^3} \, dx\)
 3.411 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{5/2} \, dx\)
 3.412 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{3/2} \, dx\)
 3.413 \(\int (a+a \sin (e+f x))^m \sqrt{c-c \sin (e+f x)} \, dx\)
 3.414 \(\int \frac{(a+a \sin (e+f x))^m}{\sqrt{c-c \sin (e+f x)}} \, dx\)
 3.415 \(\int \frac{(a+a \sin (e+f x))^m}{(c-c \sin (e+f x))^{3/2}} \, dx\)
 3.416 \(\int \frac{(a+a \sin (e+f x))^m}{(c-c \sin (e+f x))^{5/2}} \, dx\)
 3.417 \(\int \frac{(a+a \sin (e+f x))^m}{\sqrt{c-c \sin (e+f x)}} \, dx\)
 3.418 \(\int \frac{(c+c \sin (e+f x))^m}{\sqrt{a-a \sin (e+f x)}} \, dx\)
 3.419 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{-3-m} \, dx\)
 3.420 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{-2-m} \, dx\)
 3.421 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{-1-m} \, dx\)
 3.422 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{-m} \, dx\)
 3.423 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{1-m} \, dx\)
 3.424 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{2-m} \, dx\)
 3.425 \(\int (a+a \sin (e+f x)) (c+d \sin (e+f x))^4 \, dx\)
 3.426 \(\int (a+a \sin (e+f x)) (c+d \sin (e+f x))^3 \, dx\)
 3.427 \(\int (a+a \sin (e+f x)) (c+d \sin (e+f x))^2 \, dx\)
 3.428 \(\int (a+a \sin (e+f x)) (c+d \sin (e+f x)) \, dx\)
 3.429 \(\int (a+a \sin (e+f x)) \, dx\)
 3.430 \(\int \frac{a+a \sin (e+f x)}{c+d \sin (e+f x)} \, dx\)
 3.431 \(\int \frac{a+a \sin (e+f x)}{(c+d \sin (e+f x))^2} \, dx\)
 3.432 \(\int \frac{a+a \sin (e+f x)}{(c+d \sin (e+f x))^3} \, dx\)
 3.433 \(\int \frac{a+a \sin (e+f x)}{(c+d \sin (e+f x))^4} \, dx\)
 3.434 \(\int (a+a \sin (e+f x))^2 (c+d \sin (e+f x))^4 \, dx\)
 3.435 \(\int (a+a \sin (e+f x))^2 (c+d \sin (e+f x))^3 \, dx\)
 3.436 \(\int (a+a \sin (e+f x))^2 (c+d \sin (e+f x))^2 \, dx\)
 3.437 \(\int (a+a \sin (e+f x))^2 (c+d \sin (e+f x)) \, dx\)
 3.438 \(\int (a+a \sin (e+f x))^2 \, dx\)
 3.439 \(\int \frac{(a+a \sin (e+f x))^2}{c+d \sin (e+f x)} \, dx\)
 3.440 \(\int \frac{(a+a \sin (e+f x))^2}{(c+d \sin (e+f x))^2} \, dx\)
 3.441 \(\int \frac{(a+a \sin (e+f x))^2}{(c+d \sin (e+f x))^3} \, dx\)
 3.442 \(\int \frac{(a+a \sin (e+f x))^2}{(c+d \sin (e+f x))^4} \, dx\)
 3.443 \(\int \frac{(a+a \sin (e+f x))^2}{(c+d \sin (e+f x))^5} \, dx\)
 3.444 \(\int (a+a \sin (e+f x))^3 (c+d \sin (e+f x))^3 \, dx\)
 3.445 \(\int (a+a \sin (e+f x))^3 (c+d \sin (e+f x))^2 \, dx\)
 3.446 \(\int (a+a \sin (e+f x))^3 (c+d \sin (e+f x)) \, dx\)
 3.447 \(\int (a+a \sin (e+f x))^3 \, dx\)
 3.448 \(\int \frac{(a+a \sin (e+f x))^3}{c+d \sin (e+f x)} \, dx\)
 3.449 \(\int \frac{(a+a \sin (e+f x))^3}{(c+d \sin (e+f x))^2} \, dx\)
 3.450 \(\int \frac{(a+a \sin (e+f x))^3}{(c+d \sin (e+f x))^3} \, dx\)
 3.451 \(\int \frac{(a+a \sin (e+f x))^3}{(c+d \sin (e+f x))^4} \, dx\)
 3.452 \(\int \frac{(a+a \sin (e+f x))^3}{(c+d \sin (e+f x))^5} \, dx\)
 3.453 \(\int \frac{(c+d \sin (e+f x))^4}{a+a \sin (e+f x)} \, dx\)
 3.454 \(\int \frac{(c+d \sin (e+f x))^3}{a+a \sin (e+f x)} \, dx\)
 3.455 \(\int \frac{(c+d \sin (e+f x))^2}{a+a \sin (e+f x)} \, dx\)
 3.456 \(\int \frac{c+d \sin (e+f x)}{a+a \sin (e+f x)} \, dx\)
 3.457 \(\int \frac{1}{a+a \sin (e+f x)} \, dx\)
 3.458 \(\int \frac{1}{(a+a \sin (e+f x)) (c+d \sin (e+f x))} \, dx\)
 3.459 \(\int \frac{1}{(a+a \sin (e+f x)) (c+d \sin (e+f x))^2} \, dx\)
 3.460 \(\int \frac{1}{(a+a \sin (e+f x)) (c+d \sin (e+f x))^3} \, dx\)
 3.461 \(\int \frac{(c+d \sin (e+f x))^5}{(a+a \sin (e+f x))^2} \, dx\)
 3.462 \(\int \frac{(c+d \sin (e+f x))^4}{(a+a \sin (e+f x))^2} \, dx\)
 3.463 \(\int \frac{(c+d \sin (e+f x))^3}{(a+a \sin (e+f x))^2} \, dx\)
 3.464 \(\int \frac{(c+d \sin (e+f x))^2}{(a+a \sin (e+f x))^2} \, dx\)
 3.465 \(\int \frac{c+d \sin (e+f x)}{(a+a \sin (e+f x))^2} \, dx\)
 3.466 \(\int \frac{1}{(a+a \sin (e+f x))^2} \, dx\)
 3.467 \(\int \frac{1}{(a+a \sin (e+f x))^2 (c+d \sin (e+f x))} \, dx\)
 3.468 \(\int \frac{1}{(a+a \sin (e+f x))^2 (c+d \sin (e+f x))^2} \, dx\)
 3.469 \(\int \frac{1}{(a+a \sin (e+f x))^2 (c+d \sin (e+f x))^3} \, dx\)
 3.470 \(\int \frac{(c+d \sin (e+f x))^6}{(a+a \sin (e+f x))^3} \, dx\)
 3.471 \(\int \frac{(c+d \sin (e+f x))^5}{(a+a \sin (e+f x))^3} \, dx\)
 3.472 \(\int \frac{(c+d \sin (e+f x))^4}{(a+a \sin (e+f x))^3} \, dx\)
 3.473 \(\int \frac{(c+d \sin (e+f x))^3}{(a+a \sin (e+f x))^3} \, dx\)
 3.474 \(\int \frac{(c+d \sin (e+f x))^2}{(a+a \sin (e+f x))^3} \, dx\)
 3.475 \(\int \frac{c+d \sin (e+f x)}{(a+a \sin (e+f x))^3} \, dx\)
 3.476 \(\int \frac{1}{(a+a \sin (e+f x))^3} \, dx\)
 3.477 \(\int \frac{1}{(a+a \sin (e+f x))^3 (c+d \sin (e+f x))} \, dx\)
 3.478 \(\int \frac{1}{(a+a \sin (e+f x))^3 (c+d \sin (e+f x))^2} \, dx\)
 3.479 \(\int \frac{1}{(a+a \sin (e+f x))^3 (c+d \sin (e+f x))^3} \, dx\)
 3.480 \(\int \frac{A+B \sin (x)}{(1+\sin (x))^4} \, dx\)
 3.481 \(\int \frac{A+B \sin (x)}{(1-\sin (x))^4} \, dx\)
 3.482 \(\int (a+a \sin (e+f x)) (c+d \sin (e+f x))^{5/2} \, dx\)
 3.483 \(\int (a+a \sin (e+f x)) (c+d \sin (e+f x))^{3/2} \, dx\)
 3.484 \(\int (a+a \sin (e+f x)) \sqrt{c+d \sin (e+f x)} \, dx\)
 3.485 \(\int \frac{a+a \sin (e+f x)}{\sqrt{c+d \sin (e+f x)}} \, dx\)
 3.486 \(\int \frac{a+a \sin (e+f x)}{(c+d \sin (e+f x))^{3/2}} \, dx\)
 3.487 \(\int \frac{a+a \sin (e+f x)}{(c+d \sin (e+f x))^{5/2}} \, dx\)
 3.488 \(\int \frac{a+a \sin (e+f x)}{(c+d \sin (e+f x))^{7/2}} \, dx\)
 3.489 \(\int (a+a \sin (e+f x))^2 (c+d \sin (e+f x))^{5/2} \, dx\)
 3.490 \(\int (a+a \sin (e+f x))^2 (c+d \sin (e+f x))^{3/2} \, dx\)
 3.491 \(\int (a+a \sin (e+f x))^2 \sqrt{c+d \sin (e+f x)} \, dx\)
 3.492 \(\int \frac{(a+a \sin (e+f x))^2}{\sqrt{c+d \sin (e+f x)}} \, dx\)
 3.493 \(\int \frac{(a+a \sin (e+f x))^2}{(c+d \sin (e+f x))^{3/2}} \, dx\)
 3.494 \(\int \frac{(a+a \sin (e+f x))^2}{(c+d \sin (e+f x))^{5/2}} \, dx\)
 3.495 \(\int \frac{(a+a \sin (e+f x))^2}{(c+d \sin (e+f x))^{7/2}} \, dx\)
 3.496 \(\int (a+a \sin (e+f x))^3 (c+d \sin (e+f x))^{5/2} \, dx\)
 3.497 \(\int (a+a \sin (e+f x))^3 (c+d \sin (e+f x))^{3/2} \, dx\)
 3.498 \(\int (a+a \sin (e+f x))^3 \sqrt{c+d \sin (e+f x)} \, dx\)
 3.499 \(\int \frac{(a+a \sin (e+f x))^3}{\sqrt{c+d \sin (e+f x)}} \, dx\)
 3.500 \(\int \frac{(a+a \sin (e+f x))^3}{(c+d \sin (e+f x))^{3/2}} \, dx\)
 3.501 \(\int \frac{(a+a \sin (e+f x))^3}{(c+d \sin (e+f x))^{5/2}} \, dx\)
 3.502 \(\int \frac{(a+a \sin (e+f x))^3}{(c+d \sin (e+f x))^{7/2}} \, dx\)
 3.503 \(\int \frac{(a+a \sin (e+f x))^3}{(c+d \sin (e+f x))^{9/2}} \, dx\)
 3.504 \(\int \frac{(c+d \sin (e+f x))^{5/2}}{a+a \sin (e+f x)} \, dx\)
 3.505 \(\int \frac{(c+d \sin (e+f x))^{3/2}}{a+a \sin (e+f x)} \, dx\)
 3.506 \(\int \frac{\sqrt{c+d \sin (e+f x)}}{a+a \sin (e+f x)} \, dx\)
 3.507 \(\int \frac{1}{(a+a \sin (e+f x)) \sqrt{c+d \sin (e+f x)}} \, dx\)
 3.508 \(\int \frac{1}{(a+a \sin (e+f x)) (c+d \sin (e+f x))^{3/2}} \, dx\)
 3.509 \(\int \frac{1}{(a+a \sin (e+f x)) (c+d \sin (e+f x))^{5/2}} \, dx\)
 3.510 \(\int \frac{(c+d \sin (e+f x))^{5/2}}{(a+a \sin (e+f x))^2} \, dx\)
 3.511 \(\int \frac{(c+d \sin (e+f x))^{3/2}}{(a+a \sin (e+f x))^2} \, dx\)
 3.512 \(\int \frac{\sqrt{c+d \sin (e+f x)}}{(a+a \sin (e+f x))^2} \, dx\)
 3.513 \(\int \frac{1}{(a+a \sin (e+f x))^2 \sqrt{c+d \sin (e+f x)}} \, dx\)
 3.514 \(\int \frac{1}{(a+a \sin (e+f x))^2 (c+d \sin (e+f x))^{3/2}} \, dx\)
 3.515 \(\int \frac{1}{(a+a \sin (e+f x))^2 (c+d \sin (e+f x))^{5/2}} \, dx\)
 3.516 \(\int \frac{(c+d \sin (e+f x))^{5/2}}{(a+a \sin (e+f x))^3} \, dx\)
 3.517 \(\int \frac{(c+d \sin (e+f x))^{3/2}}{(a+a \sin (e+f x))^3} \, dx\)
 3.518 \(\int \frac{\sqrt{c+d \sin (e+f x)}}{(a+a \sin (e+f x))^3} \, dx\)
 3.519 \(\int \frac{1}{(a+a \sin (e+f x))^3 \sqrt{c+d \sin (e+f x)}} \, dx\)
 3.520 \(\int \frac{1}{(a+a \sin (e+f x))^3 (c+d \sin (e+f x))^{3/2}} \, dx\)
 3.521 \(\int \frac{1}{(a+a \sin (e+f x))^3 (c+d \sin (e+f x))^{5/2}} \, dx\)
 3.522 \(\int \sqrt{a+a \sin (e+f x)} (c+d \sin (e+f x))^3 \, dx\)
 3.523 \(\int \sqrt{a+a \sin (e+f x)} (c+d \sin (e+f x))^2 \, dx\)
 3.524 \(\int \sqrt{a+a \sin (e+f x)} (c+d \sin (e+f x)) \, dx\)
 3.525 \(\int \sqrt{a+a \sin (e+f x)} \, dx\)
 3.526 \(\int \frac{\sqrt{a+a \sin (e+f x)}}{c+d \sin (e+f x)} \, dx\)
 3.527 \(\int \frac{\sqrt{a+a \sin (e+f x)}}{(c+d \sin (e+f x))^2} \, dx\)
 3.528 \(\int \frac{\sqrt{a+a \sin (e+f x)}}{(c+d \sin (e+f x))^3} \, dx\)
 3.529 \(\int (a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))^3 \, dx\)
 3.530 \(\int (a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))^2 \, dx\)
 3.531 \(\int (a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x)) \, dx\)
 3.532 \(\int (a+a \sin (e+f x))^{3/2} \, dx\)
 3.533 \(\int \frac{(a+a \sin (e+f x))^{3/2}}{c+d \sin (e+f x)} \, dx\)
 3.534 \(\int \frac{(a+a \sin (e+f x))^{3/2}}{(c+d \sin (e+f x))^2} \, dx\)
 3.535 \(\int \frac{(a+a \sin (e+f x))^{3/2}}{(c+d \sin (e+f x))^3} \, dx\)
 3.536 \(\int (a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))^3 \, dx\)
 3.537 \(\int (a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))^2 \, dx\)
 3.538 \(\int (a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x)) \, dx\)
 3.539 \(\int (a+a \sin (e+f x))^{5/2} \, dx\)
 3.540 \(\int \frac{(a+a \sin (e+f x))^{5/2}}{c+d \sin (e+f x)} \, dx\)
 3.541 \(\int \frac{(a+a \sin (e+f x))^{5/2}}{(c+d \sin (e+f x))^2} \, dx\)
 3.542 \(\int \frac{(a+a \sin (e+f x))^{5/2}}{(c+d \sin (e+f x))^3} \, dx\)
 3.543 \(\int \frac{(c+d \sin (e+f x))^3}{\sqrt{a+a \sin (e+f x)}} \, dx\)
 3.544 \(\int \frac{(c+d \sin (e+f x))^2}{\sqrt{a+a \sin (e+f x)}} \, dx\)
 3.545 \(\int \frac{c+d \sin (e+f x)}{\sqrt{a+a \sin (e+f x)}} \, dx\)
 3.546 \(\int \frac{1}{\sqrt{a+a \sin (e+f x)}} \, dx\)
 3.547 \(\int \frac{1}{\sqrt{a+a \sin (e+f x)} (c+d \sin (e+f x))} \, dx\)
 3.548 \(\int \frac{1}{\sqrt{a+a \sin (e+f x)} (c+d \sin (e+f x))^2} \, dx\)
 3.549 \(\int \frac{1}{\sqrt{a+a \sin (e+f x)} (c+d \sin (e+f x))^3} \, dx\)
 3.550 \(\int \frac{(c+d \sin (e+f x))^3}{(a+a \sin (e+f x))^{3/2}} \, dx\)
 3.551 \(\int \frac{(c+d \sin (e+f x))^2}{(a+a \sin (e+f x))^{3/2}} \, dx\)
 3.552 \(\int \frac{c+d \sin (e+f x)}{(a+a \sin (e+f x))^{3/2}} \, dx\)
 3.553 \(\int \frac{1}{(a+a \sin (e+f x))^{3/2}} \, dx\)
 3.554 \(\int \frac{1}{(a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))} \, dx\)
 3.555 \(\int \frac{1}{(a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))^2} \, dx\)
 3.556 \(\int \frac{1}{(a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))^3} \, dx\)
 3.557 \(\int \frac{(c+d \sin (e+f x))^3}{(a+a \sin (e+f x))^{5/2}} \, dx\)
 3.558 \(\int \frac{(c+d \sin (e+f x))^2}{(a+a \sin (e+f x))^{5/2}} \, dx\)
 3.559 \(\int \frac{c+d \sin (e+f x)}{(a+a \sin (e+f x))^{5/2}} \, dx\)
 3.560 \(\int \frac{1}{(a+a \sin (e+f x))^{5/2}} \, dx\)
 3.561 \(\int \frac{1}{(a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))} \, dx\)
 3.562 \(\int \frac{1}{(a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))^2} \, dx\)
 3.563 \(\int \frac{1}{(a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))^3} \, dx\)
 3.564 \(\int \sqrt{a+a \sin (e+f x)} (c+d \sin (e+f x))^{5/2} \, dx\)
 3.565 \(\int \sqrt{a+a \sin (e+f x)} (c+d \sin (e+f x))^{3/2} \, dx\)
 3.566 \(\int \sqrt{a+a \sin (e+f x)} \sqrt{c+d \sin (e+f x)} \, dx\)
 3.567 \(\int \frac{\sqrt{a+a \sin (e+f x)}}{\sqrt{c+d \sin (e+f x)}} \, dx\)
 3.568 \(\int \frac{\sqrt{a+a \sin (e+f x)}}{(c+d \sin (e+f x))^{3/2}} \, dx\)
 3.569 \(\int \frac{\sqrt{a+a \sin (e+f x)}}{(c+d \sin (e+f x))^{5/2}} \, dx\)
 3.570 \(\int \frac{\sqrt{a+a \sin (e+f x)}}{(c+d \sin (e+f x))^{7/2}} \, dx\)
 3.571 \(\int (a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))^{5/2} \, dx\)
 3.572 \(\int (a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))^{3/2} \, dx\)
 3.573 \(\int (a+a \sin (e+f x))^{3/2} \sqrt{c+d \sin (e+f x)} \, dx\)
 3.574 \(\int \frac{(a+a \sin (e+f x))^{3/2}}{\sqrt{c+d \sin (e+f x)}} \, dx\)
 3.575 \(\int \frac{(a+a \sin (e+f x))^{3/2}}{(c+d \sin (e+f x))^{3/2}} \, dx\)
 3.576 \(\int \frac{(a+a \sin (e+f x))^{3/2}}{(c+d \sin (e+f x))^{5/2}} \, dx\)
 3.577 \(\int \frac{(a+a \sin (e+f x))^{3/2}}{(c+d \sin (e+f x))^{7/2}} \, dx\)
 3.578 \(\int \frac{(a+a \sin (e+f x))^{3/2}}{(c+d \sin (e+f x))^{9/2}} \, dx\)
 3.579 \(\int (a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))^{5/2} \, dx\)
 3.580 \(\int (a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))^{3/2} \, dx\)
 3.581 \(\int (a+a \sin (e+f x))^{5/2} \sqrt{c+d \sin (e+f x)} \, dx\)
 3.582 \(\int \frac{(a+a \sin (e+f x))^{5/2}}{\sqrt{c+d \sin (e+f x)}} \, dx\)
 3.583 \(\int \frac{(a+a \sin (e+f x))^{5/2}}{(c+d \sin (e+f x))^{3/2}} \, dx\)
 3.584 \(\int \frac{(a+a \sin (e+f x))^{5/2}}{(c+d \sin (e+f x))^{5/2}} \, dx\)
 3.585 \(\int \frac{(a+a \sin (e+f x))^{5/2}}{(c+d \sin (e+f x))^{7/2}} \, dx\)
 3.586 \(\int \frac{(a+a \sin (e+f x))^{5/2}}{(c+d \sin (e+f x))^{9/2}} \, dx\)
 3.587 \(\int \frac{(a+a \sin (e+f x))^{5/2}}{(c+d \sin (e+f x))^{11/2}} \, dx\)
 3.588 \(\int \frac{(c+d \sin (e+f x))^{5/2}}{\sqrt{a+a \sin (e+f x)}} \, dx\)
 3.589 \(\int \frac{(c+d \sin (e+f x))^{3/2}}{\sqrt{a+a \sin (e+f x)}} \, dx\)
 3.590 \(\int \frac{\sqrt{c+d \sin (e+f x)}}{\sqrt{a+a \sin (e+f x)}} \, dx\)
 3.591 \(\int \frac{1}{\sqrt{a+a \sin (e+f x)} \sqrt{c+d \sin (e+f x)}} \, dx\)
 3.592 \(\int \frac{1}{\sqrt{a+a \sin (e+f x)} (c+d \sin (e+f x))^{3/2}} \, dx\)
 3.593 \(\int \frac{1}{\sqrt{a+a \sin (e+f x)} (c+d \sin (e+f x))^{5/2}} \, dx\)
 3.594 \(\int \frac{(c+d \sin (e+f x))^{5/2}}{(a+a \sin (e+f x))^{3/2}} \, dx\)
 3.595 \(\int \frac{(c+d \sin (e+f x))^{3/2}}{(a+a \sin (e+f x))^{3/2}} \, dx\)
 3.596 \(\int \frac{\sqrt{c+d \sin (e+f x)}}{(a+a \sin (e+f x))^{3/2}} \, dx\)
 3.597 \(\int \frac{1}{(a+a \sin (e+f x))^{3/2} \sqrt{c+d \sin (e+f x)}} \, dx\)
 3.598 \(\int \frac{1}{(a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))^{3/2}} \, dx\)
 3.599 \(\int \frac{1}{(a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))^{5/2}} \, dx\)
 3.600 \(\int \frac{(c+d \sin (e+f x))^{5/2}}{(a+a \sin (e+f x))^{5/2}} \, dx\)
 3.601 \(\int \frac{(c+d \sin (e+f x))^{3/2}}{(a+a \sin (e+f x))^{5/2}} \, dx\)
 3.602 \(\int \frac{\sqrt{c+d \sin (e+f x)}}{(a+a \sin (e+f x))^{5/2}} \, dx\)
 3.603 \(\int \frac{1}{(a+a \sin (e+f x))^{5/2} \sqrt{c+d \sin (e+f x)}} \, dx\)
 3.604 \(\int \frac{1}{(a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))^{3/2}} \, dx\)
 3.605 \(\int \frac{1}{(a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))^{5/2}} \, dx\)
 3.606 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n \, dx\)
 3.607 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^3 \, dx\)
 3.608 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^2 \, dx\)
 3.609 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x)) \, dx\)
 3.610 \(\int (a+a \sin (e+f x))^m \, dx\)
 3.611 \(\int \frac{(a+a \sin (e+f x))^m}{c+d \sin (e+f x)} \, dx\)
 3.612 \(\int \frac{(a+a \sin (e+f x))^m}{(c+d \sin (e+f x))^2} \, dx\)
 3.613 \(\int \frac{(a+a \sin (e+f x))^m}{(c+d \sin (e+f x))^3} \, dx\)
 3.614 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{5/2} \, dx\)
 3.615 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{3/2} \, dx\)
 3.616 \(\int (a+a \sin (e+f x))^m \sqrt{c+d \sin (e+f x)} \, dx\)
 3.617 \(\int \frac{(a+a \sin (e+f x))^m}{\sqrt{c+d \sin (e+f x)}} \, dx\)
 3.618 \(\int \frac{(a+a \sin (e+f x))^m}{(c+d \sin (e+f x))^{3/2}} \, dx\)
 3.619 \(\int \frac{(a+a \sin (e+f x))^m}{(c+d \sin (e+f x))^{5/2}} \, dx\)
 3.620 \(\int (1+\sin (e+f x))^m (3+5 \sin (e+f x))^{-1-m} \, dx\)
 3.621 \(\int (1+\sin (e+f x))^m (3+4 \sin (e+f x))^{-1-m} \, dx\)
 3.622 \(\int (1+\sin (e+f x))^m (3+3 \sin (e+f x))^{-1-m} \, dx\)
 3.623 \(\int (1+\sin (e+f x))^m (3+2 \sin (e+f x))^{-1-m} \, dx\)
 3.624 \(\int (1+\sin (e+f x))^m (3+\sin (e+f x))^{-1-m} \, dx\)
 3.625 \(\int 3^{-1-m} (1+\sin (e+f x))^m \, dx\)
 3.626 \(\int (3-\sin (e+f x))^{-1-m} (1+\sin (e+f x))^m \, dx\)
 3.627 \(\int (3-2 \sin (e+f x))^{-1-m} (1+\sin (e+f x))^m \, dx\)
 3.628 \(\int (3-3 \sin (e+f x))^{-1-m} (1+\sin (e+f x))^m \, dx\)
 3.629 \(\int (3-4 \sin (e+f x))^{-1-m} (1+\sin (e+f x))^m \, dx\)
 3.630 \(\int (3-5 \sin (e+f x))^{-1-m} (1+\sin (e+f x))^m \, dx\)
 3.631 \(\int (3+5 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.632 \(\int (3+4 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.633 \(\int (3+3 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.634 \(\int (3+2 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.635 \(\int (3+\sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.636 \(\int 3^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.637 \(\int (3-\sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.638 \(\int (3-2 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.639 \(\int (3-3 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.640 \(\int (3-4 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.641 \(\int (3-5 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.642 \(\int (-3+5 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.643 \(\int (-3+4 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.644 \(\int (-3+3 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.645 \(\int (-3+2 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.646 \(\int (-3+\sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.647 \(\int (-3)^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.648 \(\int (-3-\sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.649 \(\int (-3-2 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.650 \(\int (-3-3 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.651 \(\int (-3-4 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.652 \(\int (-3-5 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.653 \(\int (d \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\)
 3.654 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{-1-m} \, dx\)
 3.655 \(\int (a+a \sin (e+f x))^3 (c+d \sin (e+f x))^n \, dx\)
 3.656 \(\int (a+a \sin (e+f x))^2 (c+d \sin (e+f x))^n \, dx\)
 3.657 \(\int (a+a \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\)
 3.658 \(\int (c+d \sin (e+f x))^n \, dx\)
 3.659 \(\int \frac{(c+d \sin (e+f x))^n}{a+a \sin (e+f x)} \, dx\)
 3.660 \(\int \frac{(c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^2} \, dx\)
 3.661 \(\int \frac{(c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^3} \, dx\)
 3.662 \(\int (a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))^n \, dx\)
 3.663 \(\int (a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))^n \, dx\)
 3.664 \(\int \sqrt{a+a \sin (e+f x)} (c+d \sin (e+f x))^n \, dx\)
 3.665 \(\int \frac{(c+d \sin (e+f x))^n}{\sqrt{a+a \sin (e+f x)}} \, dx\)
 3.666 \(\int \frac{(c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^{3/2}} \, dx\)
 3.667 \(\int \frac{(c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^{5/2}} \, dx\)
 3.668 \(\int (a+a \sin (e+f x)) \sqrt [3]{c+d \sin (e+f x)} \, dx\)
 3.669 \(\int \frac{a+a \sin (e+f x)}{\sqrt [3]{c+d \sin (e+f x)}} \, dx\)
 3.670 \(\int \frac{a+a \sin (e+f x)}{(c+d \sin (e+f x))^{4/3}} \, dx\)
 3.671 \(\int (a+b \sin (e+f x)) (c+d \sin (e+f x))^3 \, dx\)
 3.672 \(\int (a+b \sin (e+f x)) (c+d \sin (e+f x))^2 \, dx\)
 3.673 \(\int (a+b \sin (e+f x)) (c+d \sin (e+f x)) \, dx\)
 3.674 \(\int (a+b \sin (e+f x)) \, dx\)
 3.675 \(\int \frac{a+b \sin (e+f x)}{c+d \sin (e+f x)} \, dx\)
 3.676 \(\int \frac{a+b \sin (e+f x)}{(c+d \sin (e+f x))^2} \, dx\)
 3.677 \(\int \frac{a+b \sin (e+f x)}{(c+d \sin (e+f x))^3} \, dx\)
 3.678 \(\int (a+b \sin (e+f x))^2 (c+d \sin (e+f x))^3 \, dx\)
 3.679 \(\int (a+b \sin (e+f x))^2 (c+d \sin (e+f x))^2 \, dx\)
 3.680 \(\int (a+b \sin (e+f x))^2 (c+d \sin (e+f x)) \, dx\)
 3.681 \(\int (a+b \sin (e+f x))^2 \, dx\)
 3.682 \(\int \frac{(a+b \sin (e+f x))^2}{c+d \sin (e+f x)} \, dx\)
 3.683 \(\int \frac{(a+b \sin (e+f x))^2}{(c+d \sin (e+f x))^2} \, dx\)
 3.684 \(\int \frac{(a+b \sin (e+f x))^2}{(c+d \sin (e+f x))^3} \, dx\)
 3.685 \(\int \frac{(a+b \sin (e+f x))^2}{(c+d \sin (e+f x))^4} \, dx\)
 3.686 \(\int (a+b \sin (e+f x))^3 (c+d \sin (e+f x))^3 \, dx\)
 3.687 \(\int (a+b \sin (e+f x))^3 (c+d \sin (e+f x))^2 \, dx\)
 3.688 \(\int (a+b \sin (e+f x))^3 (c+d \sin (e+f x)) \, dx\)
 3.689 \(\int (a+b \sin (e+f x))^3 \, dx\)
 3.690 \(\int \frac{(a+b \sin (e+f x))^3}{c+d \sin (e+f x)} \, dx\)
 3.691 \(\int \frac{(a+b \sin (e+f x))^3}{(c+d \sin (e+f x))^2} \, dx\)
 3.692 \(\int \frac{(a+b \sin (e+f x))^3}{(c+d \sin (e+f x))^3} \, dx\)
 3.693 \(\int \frac{(a+b \sin (e+f x))^3}{(c+d \sin (e+f x))^4} \, dx\)
 3.694 \(\int \frac{\frac{b B}{a}+B \sin (x)}{a+b \sin (x)} \, dx\)
 3.695 \(\int \frac{\frac{a B}{b}+B \sin (x)}{a+b \sin (x)} \, dx\)
 3.696 \(\int \frac{a+b \sin (x)}{(b+a \sin (x))^2} \, dx\)
 3.697 \(\int \frac{2-\sin (x)}{2+\sin (x)} \, dx\)
 3.698 \(\int \frac{(c+d \sin (e+f x))^4}{a+b \sin (e+f x)} \, dx\)
 3.699 \(\int \frac{(c+d \sin (e+f x))^3}{a+b \sin (e+f x)} \, dx\)
 3.700 \(\int \frac{(c+d \sin (e+f x))^2}{a+b \sin (e+f x)} \, dx\)
 3.701 \(\int \frac{c+d \sin (e+f x)}{a+b \sin (e+f x)} \, dx\)
 3.702 \(\int \frac{1}{a+b \sin (e+f x)} \, dx\)
 3.703 \(\int \frac{1}{(a+b \sin (e+f x)) (c+d \sin (e+f x))} \, dx\)
 3.704 \(\int \frac{1}{(a+b \sin (e+f x)) (c+d \sin (e+f x))^2} \, dx\)
 3.705 \(\int \frac{1}{(a+b \sin (e+f x)) (c+d \sin (e+f x))^3} \, dx\)
 3.706 \(\int \frac{(c+d \sin (e+f x))^4}{(a+b \sin (e+f x))^2} \, dx\)
 3.707 \(\int \frac{(c+d \sin (e+f x))^3}{(a+b \sin (e+f x))^2} \, dx\)
 3.708 \(\int \frac{(c+d \sin (e+f x))^2}{(a+b \sin (e+f x))^2} \, dx\)
 3.709 \(\int \frac{c+d \sin (e+f x)}{(a+b \sin (e+f x))^2} \, dx\)
 3.710 \(\int \frac{1}{(a+b \sin (e+f x))^2} \, dx\)
 3.711 \(\int \frac{1}{(a+b \sin (e+f x))^2 (c+d \sin (e+f x))} \, dx\)
 3.712 \(\int \frac{1}{(a+b \sin (e+f x))^2 (c+d \sin (e+f x))^2} \, dx\)
 3.713 \(\int \frac{1}{(a+b \sin (e+f x))^2 (c+d \sin (e+f x))^3} \, dx\)
 3.714 \(\int \frac{(c+d \sin (e+f x))^5}{(a+b \sin (e+f x))^3} \, dx\)
 3.715 \(\int \frac{(c+d \sin (e+f x))^4}{(a+b \sin (e+f x))^3} \, dx\)
 3.716 \(\int \frac{(c+d \sin (e+f x))^3}{(a+b \sin (e+f x))^3} \, dx\)
 3.717 \(\int \frac{(c+d \sin (e+f x))^2}{(a+b \sin (e+f x))^3} \, dx\)
 3.718 \(\int \frac{c+d \sin (e+f x)}{(a+b \sin (e+f x))^3} \, dx\)
 3.719 \(\int \frac{1}{(a+b \sin (e+f x))^3} \, dx\)
 3.720 \(\int \frac{1}{(a+b \sin (e+f x))^3 (c+d \sin (e+f x))} \, dx\)
 3.721 \(\int \frac{1}{(a+b \sin (e+f x))^3 (c+d \sin (e+f x))^2} \, dx\)
 3.722 \(\int \frac{1}{(a+b \sin (e+f x))^3 (c+d \sin (e+f x))^3} \, dx\)
 3.723 \(\int (a+b \sin (e+f x)) (c+d \sin (e+f x))^{5/2} \, dx\)
 3.724 \(\int (a+b \sin (e+f x)) (c+d \sin (e+f x))^{3/2} \, dx\)
 3.725 \(\int (a+b \sin (e+f x)) \sqrt{c+d \sin (e+f x)} \, dx\)
 3.726 \(\int \frac{a+b \sin (e+f x)}{\sqrt{c+d \sin (e+f x)}} \, dx\)
 3.727 \(\int \frac{a+b \sin (e+f x)}{(c+d \sin (e+f x))^{3/2}} \, dx\)
 3.728 \(\int \frac{a+b \sin (e+f x)}{(c+d \sin (e+f x))^{5/2}} \, dx\)
 3.729 \(\int \frac{a+b \sin (e+f x)}{(c+d \sin (e+f x))^{7/2}} \, dx\)
 3.730 \(\int (a+b \sin (e+f x))^2 (c+d \sin (e+f x))^{5/2} \, dx\)
 3.731 \(\int (a+b \sin (e+f x))^2 (c+d \sin (e+f x))^{3/2} \, dx\)
 3.732 \(\int (a+b \sin (e+f x))^2 \sqrt{c+d \sin (e+f x)} \, dx\)
 3.733 \(\int \frac{(a+b \sin (e+f x))^2}{\sqrt{c+d \sin (e+f x)}} \, dx\)
 3.734 \(\int \frac{(a+b \sin (e+f x))^2}{(c+d \sin (e+f x))^{3/2}} \, dx\)
 3.735 \(\int \frac{(a+b \sin (e+f x))^2}{(c+d \sin (e+f x))^{5/2}} \, dx\)
 3.736 \(\int \frac{(a+b \sin (e+f x))^2}{(c+d \sin (e+f x))^{7/2}} \, dx\)
 3.737 \(\int (a+b \sin (e+f x))^3 (c+d \sin (e+f x))^{5/2} \, dx\)
 3.738 \(\int (a+b \sin (e+f x))^3 (c+d \sin (e+f x))^{3/2} \, dx\)
 3.739 \(\int (a+b \sin (e+f x))^3 \sqrt{c+d \sin (e+f x)} \, dx\)
 3.740 \(\int \frac{(a+b \sin (e+f x))^3}{\sqrt{c+d \sin (e+f x)}} \, dx\)
 3.741 \(\int \frac{(a+b \sin (e+f x))^3}{(c+d \sin (e+f x))^{3/2}} \, dx\)
 3.742 \(\int \frac{(a+b \sin (e+f x))^3}{(c+d \sin (e+f x))^{5/2}} \, dx\)
 3.743 \(\int \frac{(a+b \sin (e+f x))^3}{(c+d \sin (e+f x))^{7/2}} \, dx\)
 3.744 \(\int \frac{(a+b \sin (e+f x))^3}{(c+d \sin (e+f x))^{9/2}} \, dx\)
 3.745 \(\int \frac{(c+d \sin (e+f x))^{5/2}}{a+b \sin (e+f x)} \, dx\)
 3.746 \(\int \frac{(c+d \sin (e+f x))^{3/2}}{a+b \sin (e+f x)} \, dx\)
 3.747 \(\int \frac{\sqrt{c+d \sin (e+f x)}}{a+b \sin (e+f x)} \, dx\)
 3.748 \(\int \frac{1}{(a+b \sin (e+f x)) \sqrt{c+d \sin (e+f x)}} \, dx\)
 3.749 \(\int \frac{1}{(a+b \sin (e+f x)) (c+d \sin (e+f x))^{3/2}} \, dx\)
 3.750 \(\int \frac{1}{(a+b \sin (e+f x)) (c+d \sin (e+f x))^{5/2}} \, dx\)
 3.751 \(\int \frac{(c+d \sin (e+f x))^{7/2}}{(a+b \sin (e+f x))^2} \, dx\)
 3.752 \(\int \frac{(c+d \sin (e+f x))^{5/2}}{(a+b \sin (e+f x))^2} \, dx\)
 3.753 \(\int \frac{(c+d \sin (e+f x))^{3/2}}{(a+b \sin (e+f x))^2} \, dx\)
 3.754 \(\int \frac{\sqrt{c+d \sin (e+f x)}}{(a+b \sin (e+f x))^2} \, dx\)
 3.755 \(\int \frac{1}{(a+b \sin (e+f x))^2 \sqrt{c+d \sin (e+f x)}} \, dx\)
 3.756 \(\int \frac{1}{(a+b \sin (e+f x))^2 (c+d \sin (e+f x))^{3/2}} \, dx\)
 3.757 \(\int \frac{1}{(a+b \sin (e+f x))^2 (c+d \sin (e+f x))^{5/2}} \, dx\)
 3.758 \(\int \frac{(c+d \sin (e+f x))^{9/2}}{(a+b \sin (e+f x))^3} \, dx\)
 3.759 \(\int \frac{(c+d \sin (e+f x))^{7/2}}{(a+b \sin (e+f x))^3} \, dx\)
 3.760 \(\int \frac{(c+d \sin (e+f x))^{5/2}}{(a+b \sin (e+f x))^3} \, dx\)
 3.761 \(\int \frac{(c+d \sin (e+f x))^{3/2}}{(a+b \sin (e+f x))^3} \, dx\)
 3.762 \(\int \frac{\sqrt{c+d \sin (e+f x)}}{(a+b \sin (e+f x))^3} \, dx\)
 3.763 \(\int \frac{1}{(a+b \sin (e+f x))^3 \sqrt{c+d \sin (e+f x)}} \, dx\)
 3.764 \(\int \frac{1}{(a+b \sin (e+f x))^3 (c+d \sin (e+f x))^{3/2}} \, dx\)
 3.765 \(\int \sqrt{a+b \sin (e+f x)} (c+d \sin (e+f x))^{5/2} \, dx\)
 3.766 \(\int \sqrt{a+b \sin (e+f x)} (c+d \sin (e+f x))^{3/2} \, dx\)
 3.767 \(\int \sqrt{a+b \sin (e+f x)} \sqrt{c+d \sin (e+f x)} \, dx\)
 3.768 \(\int \frac{\sqrt{a+b \sin (e+f x)}}{\sqrt{c+d \sin (e+f x)}} \, dx\)
 3.769 \(\int \frac{\sqrt{a+b \sin (e+f x)}}{(c+d \sin (e+f x))^{3/2}} \, dx\)
 3.770 \(\int \frac{\sqrt{a+b \sin (e+f x)}}{(c+d \sin (e+f x))^{5/2}} \, dx\)
 3.771 \(\int (a+b \sin (e+f x))^{3/2} (c+d \sin (e+f x))^{5/2} \, dx\)
 3.772 \(\int (a+b \sin (e+f x))^{3/2} (c+d \sin (e+f x))^{3/2} \, dx\)
 3.773 \(\int (a+b \sin (e+f x))^{3/2} \sqrt{c+d \sin (e+f x)} \, dx\)
 3.774 \(\int \frac{(a+b \sin (e+f x))^{3/2}}{\sqrt{c+d \sin (e+f x)}} \, dx\)
 3.775 \(\int \frac{(a+b \sin (e+f x))^{3/2}}{(c+d \sin (e+f x))^{3/2}} \, dx\)
 3.776 \(\int \frac{(a+b \sin (e+f x))^{3/2}}{(c+d \sin (e+f x))^{5/2}} \, dx\)
 3.777 \(\int (a+b \sin (e+f x))^{5/2} (c+d \sin (e+f x))^{5/2} \, dx\)
 3.778 \(\int (a+b \sin (e+f x))^{5/2} (c+d \sin (e+f x))^{3/2} \, dx\)
 3.779 \(\int (a+b \sin (e+f x))^{5/2} \sqrt{c+d \sin (e+f x)} \, dx\)
 3.780 \(\int \frac{(a+b \sin (e+f x))^{5/2}}{\sqrt{c+d \sin (e+f x)}} \, dx\)
 3.781 \(\int \frac{(a+b \sin (e+f x))^{5/2}}{(c+d \sin (e+f x))^{3/2}} \, dx\)
 3.782 \(\int \frac{(a+b \sin (e+f x))^{5/2}}{(c+d \sin (e+f x))^{5/2}} \, dx\)
 3.783 \(\int \frac{(c+d \sin (e+f x))^{5/2}}{\sqrt{a+b \sin (e+f x)}} \, dx\)
 3.784 \(\int \frac{(c+d \sin (e+f x))^{3/2}}{\sqrt{a+b \sin (e+f x)}} \, dx\)
 3.785 \(\int \frac{\sqrt{c+d \sin (e+f x)}}{\sqrt{a+b \sin (e+f x)}} \, dx\)
 3.786 \(\int \frac{1}{\sqrt{a+b \sin (e+f x)} \sqrt{c+d \sin (e+f x)}} \, dx\)
 3.787 \(\int \frac{1}{\sqrt{a+b \sin (e+f x)} (c+d \sin (e+f x))^{3/2}} \, dx\)
 3.788 \(\int \frac{1}{\sqrt{a+b \sin (e+f x)} (c+d \sin (e+f x))^{5/2}} \, dx\)
 3.789 \(\int \frac{(c+d \sin (e+f x))^{5/2}}{(a+b \sin (e+f x))^{3/2}} \, dx\)
 3.790 \(\int \frac{(c+d \sin (e+f x))^{3/2}}{(a+b \sin (e+f x))^{3/2}} \, dx\)
 3.791 \(\int \frac{\sqrt{c+d \sin (e+f x)}}{(a+b \sin (e+f x))^{3/2}} \, dx\)
 3.792 \(\int \frac{1}{(a+b \sin (e+f x))^{3/2} \sqrt{c+d \sin (e+f x)}} \, dx\)
 3.793 \(\int \frac{1}{(a+b \sin (e+f x))^{3/2} (c+d \sin (e+f x))^{3/2}} \, dx\)
 3.794 \(\int \frac{1}{(a+b \sin (e+f x))^{3/2} (c+d \sin (e+f x))^{5/2}} \, dx\)
 3.795 \(\int \frac{(c+d \sin (e+f x))^{5/2}}{(a+b \sin (e+f x))^{5/2}} \, dx\)
 3.796 \(\int \frac{(c+d \sin (e+f x))^{3/2}}{(a+b \sin (e+f x))^{5/2}} \, dx\)
 3.797 \(\int \frac{\sqrt{c+d \sin (e+f x)}}{(a+b \sin (e+f x))^{5/2}} \, dx\)
 3.798 \(\int \frac{1}{(a+b \sin (e+f x))^{5/2} \sqrt{c+d \sin (e+f x)}} \, dx\)
 3.799 \(\int \frac{1}{(a+b \sin (e+f x))^{5/2} (c+d \sin (e+f x))^{3/2}} \, dx\)
 3.800 \(\int \frac{1}{(a+b \sin (e+f x))^{5/2} (c+d \sin (e+f x))^{5/2}} \, dx\)
 3.801 \(\int (a+b \sin (e+f x))^m (c+d \sin (e+f x))^n \, dx\)
 3.802 \(\int (a+b \sin (e+f x))^m (c+d \sin (e+f x))^2 \, dx\)
 3.803 \(\int (a+b \sin (e+f x))^m (c+d \sin (e+f x)) \, dx\)
 3.804 \(\int (a+b \sin (e+f x))^m \, dx\)
 3.805 \(\int \frac{(a+b \sin (e+f x))^m}{c+d \sin (e+f x)} \, dx\)
 3.806 \(\int \frac{(a+b \sin (e+f x))^m}{(c+d \sin (e+f x))^2} \, dx\)
 3.807 \(\int \frac{(a+b \sin (e+f x))^m}{(c+d \sin (e+f x))^3} \, dx\)
 3.808 \(\int (a+b \sin (e+f x))^m (c+d \sin (e+f x))^{5/2} \, dx\)
 3.809 \(\int (a+b \sin (e+f x))^m (c+d \sin (e+f x))^{3/2} \, dx\)
 3.810 \(\int (a+b \sin (e+f x))^m \sqrt{c+d \sin (e+f x)} \, dx\)
 3.811 \(\int \frac{(a+b \sin (e+f x))^m}{\sqrt{c+d \sin (e+f x)}} \, dx\)
 3.812 \(\int \frac{(a+b \sin (e+f x))^m}{(c+d \sin (e+f x))^{3/2}} \, dx\)
 3.813 \(\int \frac{(a+b \sin (e+f x))^m}{(c+d \sin (e+f x))^{5/2}} \, dx\)
 3.814 \(\int (d \csc (e+f x))^n (a+a \sin (e+f x))^3 \, dx\)
 3.815 \(\int (d \csc (e+f x))^n (a+a \sin (e+f x))^2 \, dx\)
 3.816 \(\int (d \csc (e+f x))^n (a+a \sin (e+f x)) \, dx\)
 3.817 \(\int \frac{(d \csc (e+f x))^n}{a+a \sin (e+f x)} \, dx\)
 3.818 \(\int \frac{(d \csc (e+f x))^n}{(a+a \sin (e+f x))^2} \, dx\)
 3.819 \(\int (c (d \sin (e+f x))^p)^n (a+a \sin (e+f x))^m \, dx\)
 3.820 \(\int (c (d \sin (e+f x))^p)^n (a+a \sin (e+f x))^3 \, dx\)
 3.821 \(\int (c (d \sin (e+f x))^p)^n (a+a \sin (e+f x))^2 \, dx\)
 3.822 \(\int (c (d \sin (e+f x))^p)^n (a+a \sin (e+f x)) \, dx\)
 3.823 \(\int \frac{(c (d \sin (e+f x))^p)^n}{a+a \sin (e+f x)} \, dx\)
 3.824 \(\int \frac{(c (d \sin (e+f x))^p)^n}{(a+a \sin (e+f x))^2} \, dx\)
 3.825 \(\int (d \csc (e+f x))^n (a+b \sin (e+f x))^3 \, dx\)
 3.826 \(\int (d \csc (e+f x))^n (a+b \sin (e+f x))^2 \, dx\)
 3.827 \(\int (d \csc (e+f x))^n (a+b \sin (e+f x)) \, dx\)
 3.828 \(\int \frac{(d \csc (e+f x))^n}{a+b \sin (e+f x)} \, dx\)
 3.829 \(\int \frac{(d \csc (e+f x))^n}{(a+b \sin (e+f x))^2} \, dx\)
 3.830 \(\int \frac{(d \csc (e+f x))^n}{(a+b \sin (e+f x))^3} \, dx\)
 3.831 \(\int (c (d \sin (e+f x))^p)^n (a+b \sin (e+f x))^m \, dx\)
 3.832 \(\int (c (d \sin (e+f x))^p)^n (a+b \sin (e+f x))^3 \, dx\)
 3.833 \(\int (c (d \sin (e+f x))^p)^n (a+b \sin (e+f x))^2 \, dx\)
 3.834 \(\int (c (d \sin (e+f x))^p)^n (a+b \sin (e+f x)) \, dx\)
 3.835 \(\int \frac{(c (d \sin (e+f x))^p)^n}{a+b \sin (e+f x)} \, dx\)
 3.836 \(\int \frac{(c (d \sin (e+f x))^p)^n}{(a+b \sin (e+f x))^2} \, dx\)
 3.837 \(\int \frac{(c (d \sin (e+f x))^p)^n}{(a+b \sin (e+f x))^3} \, dx\)