3.1 \(\int (a \sin ^2(x))^{5/2} \, dx\)
 3.2 \(\int (a \sin ^2(x))^{3/2} \, dx\)
 3.3 \(\int \sqrt{a \sin ^2(x)} \, dx\)
 3.4 \(\int \frac{1}{\sqrt{a \sin ^2(x)}} \, dx\)
 3.5 \(\int \frac{1}{(a \sin ^2(x))^{3/2}} \, dx\)
 3.6 \(\int \frac{1}{(a \sin ^2(x))^{5/2}} \, dx\)
 3.7 \(\int (a \sin ^3(x))^{5/2} \, dx\)
 3.8 \(\int (a \sin ^3(x))^{3/2} \, dx\)
 3.9 \(\int \sqrt{a \sin ^3(x)} \, dx\)
 3.10 \(\int \frac{1}{\sqrt{a \sin ^3(x)}} \, dx\)
 3.11 \(\int \frac{1}{(a \sin ^3(x))^{3/2}} \, dx\)
 3.12 \(\int \frac{1}{(a \sin ^3(x))^{5/2}} \, dx\)
 3.13 \(\int (a \sin ^4(x))^{5/2} \, dx\)
 3.14 \(\int (a \sin ^4(x))^{3/2} \, dx\)
 3.15 \(\int \sqrt{a \sin ^4(x)} \, dx\)
 3.16 \(\int \frac{1}{\sqrt{a \sin ^4(x)}} \, dx\)
 3.17 \(\int \frac{1}{(a \sin ^4(x))^{3/2}} \, dx\)
 3.18 \(\int \frac{1}{(a \sin ^4(x))^{5/2}} \, dx\)
 3.19 \(\int (c \sin ^m(a+b x))^{5/2} \, dx\)
 3.20 \(\int (c \sin ^m(a+b x))^{3/2} \, dx\)
 3.21 \(\int \sqrt{c \sin ^m(a+b x)} \, dx\)
 3.22 \(\int \frac{1}{\sqrt{c \sin ^m(a+b x)}} \, dx\)
 3.23 \(\int \frac{1}{(c \sin ^m(a+b x))^{3/2}} \, dx\)
 3.24 \(\int \frac{1}{(c \sin ^m(a+b x))^{5/2}} \, dx\)
 3.25 \(\int (b \sin ^n(c+d x))^p \, dx\)
 3.26 \(\int (c \sin ^2(a+b x))^p \, dx\)
 3.27 \(\int (c \sin ^3(a+b x))^p \, dx\)
 3.28 \(\int (c \sin ^4(a+b x))^p \, dx\)
 3.29 \(\int (c \sin ^n(a+b x))^{\frac{1}{n}} \, dx\)
 3.30 \(\int (a (b \sin (c+d x))^p)^n \, dx\)
 3.31 \(\int (a-a \sin ^2(x)) \, dx\)
 3.32 \(\int (a-a \sin ^2(x))^2 \, dx\)
 3.33 \(\int (a-a \sin ^2(x))^3 \, dx\)
 3.34 \(\int (a-a \sin ^2(x))^4 \, dx\)
 3.35 \(\int \frac{\sin ^7(c+d x)}{a-a \sin ^2(c+d x)} \, dx\)
 3.36 \(\int \frac{\sin ^5(c+d x)}{a-a \sin ^2(c+d x)} \, dx\)
 3.37 \(\int \frac{\sin ^3(c+d x)}{a-a \sin ^2(c+d x)} \, dx\)
 3.38 \(\int \frac{\sin (c+d x)}{a-a \sin ^2(c+d x)} \, dx\)
 3.39 \(\int \frac{\csc (c+d x)}{a-a \sin ^2(c+d x)} \, dx\)
 3.40 \(\int \frac{\csc ^3(c+d x)}{a-a \sin ^2(c+d x)} \, dx\)
 3.41 \(\int \frac{\csc ^5(c+d x)}{a-a \sin ^2(c+d x)} \, dx\)
 3.42 \(\int \frac{\sin ^6(c+d x)}{a-a \sin ^2(c+d x)} \, dx\)
 3.43 \(\int \frac{\sin ^4(c+d x)}{a-a \sin ^2(c+d x)} \, dx\)
 3.44 \(\int \frac{\sin ^2(c+d x)}{a-a \sin ^2(c+d x)} \, dx\)
 3.45 \(\int \frac{1}{a-a \sin ^2(c+d x)} \, dx\)
 3.46 \(\int \frac{\csc ^2(c+d x)}{a-a \sin ^2(c+d x)} \, dx\)
 3.47 \(\int \frac{\csc ^4(c+d x)}{a-a \sin ^2(c+d x)} \, dx\)
 3.48 \(\int \frac{\csc ^6(c+d x)}{a-a \sin ^2(c+d x)} \, dx\)
 3.49 \(\int \frac{\sin ^7(c+d x)}{(a-a \sin ^2(c+d x))^2} \, dx\)
 3.50 \(\int \frac{\sin ^5(c+d x)}{(a-a \sin ^2(c+d x))^2} \, dx\)
 3.51 \(\int \frac{\sin ^3(c+d x)}{(a-a \sin ^2(c+d x))^2} \, dx\)
 3.52 \(\int \frac{\sin (c+d x)}{(a-a \sin ^2(c+d x))^2} \, dx\)
 3.53 \(\int \frac{\csc (c+d x)}{(a-a \sin ^2(c+d x))^2} \, dx\)
 3.54 \(\int \frac{\csc ^3(c+d x)}{(a-a \sin ^2(c+d x))^2} \, dx\)
 3.55 \(\int \frac{\sin ^6(c+d x)}{(a-a \sin ^2(c+d x))^2} \, dx\)
 3.56 \(\int \frac{\sin ^4(c+d x)}{(a-a \sin ^2(c+d x))^2} \, dx\)
 3.57 \(\int \frac{\sin ^2(c+d x)}{(a-a \sin ^2(c+d x))^2} \, dx\)
 3.58 \(\int \frac{1}{(a-a \sin ^2(c+d x))^2} \, dx\)
 3.59 \(\int \frac{\csc ^2(c+d x)}{(a-a \sin ^2(c+d x))^2} \, dx\)
 3.60 \(\int \frac{\csc ^4(c+d x)}{(a-a \sin ^2(c+d x))^2} \, dx\)
 3.61 \(\int \frac{1}{(a-a \sin ^2(x))^3} \, dx\)
 3.62 \(\int \frac{1}{(a-a \sin ^2(x))^4} \, dx\)
 3.63 \(\int \frac{1}{(a-a \sin ^2(x))^5} \, dx\)
 3.64 \(\int \sin ^3(c+d x) (a+b \sin ^2(c+d x)) \, dx\)
 3.65 \(\int \sin (c+d x) (a+b \sin ^2(c+d x)) \, dx\)
 3.66 \(\int \csc (c+d x) (a+b \sin ^2(c+d x)) \, dx\)
 3.67 \(\int \csc ^3(c+d x) (a+b \sin ^2(c+d x)) \, dx\)
 3.68 \(\int \sin ^4(c+d x) (a+b \sin ^2(c+d x)) \, dx\)
 3.69 \(\int \sin ^2(c+d x) (a+b \sin ^2(c+d x)) \, dx\)
 3.70 \(\int (a+b \sin ^2(c+d x)) \, dx\)
 3.71 \(\int \csc ^2(c+d x) (a+b \sin ^2(c+d x)) \, dx\)
 3.72 \(\int \csc ^4(c+d x) (a+b \sin ^2(c+d x)) \, dx\)
 3.73 \(\int \csc ^6(c+d x) (a+b \sin ^2(c+d x)) \, dx\)
 3.74 \(\int (a+b \sin ^2(x)) \, dx\)
 3.75 \(\int (a+b \sin ^2(x))^2 \, dx\)
 3.76 \(\int (a+b \sin ^2(x))^3 \, dx\)
 3.77 \(\int (a+b \sin ^2(x))^4 \, dx\)
 3.78 \(\int \frac{\sin ^7(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.79 \(\int \frac{\sin ^5(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.80 \(\int \frac{\sin ^3(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.81 \(\int \frac{\sin (c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.82 \(\int \frac{\csc (c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.83 \(\int \frac{\csc ^3(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.84 \(\int \frac{\csc ^5(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.85 \(\int \frac{\sin ^8(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.86 \(\int \frac{\sin ^6(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.87 \(\int \frac{\sin ^4(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.88 \(\int \frac{\sin ^2(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.89 \(\int \frac{1}{a+b \sin ^2(c+d x)} \, dx\)
 3.90 \(\int \frac{\csc ^2(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.91 \(\int \frac{\csc ^4(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.92 \(\int \frac{\csc ^6(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.93 \(\int \frac{\csc ^8(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.94 \(\int \frac{\sin ^7(c+d x)}{(a+b \sin ^2(c+d x))^2} \, dx\)
 3.95 \(\int \frac{\sin ^5(c+d x)}{(a+b \sin ^2(c+d x))^2} \, dx\)
 3.96 \(\int \frac{\sin ^3(c+d x)}{(a+b \sin ^2(c+d x))^2} \, dx\)
 3.97 \(\int \frac{\sin (c+d x)}{(a+b \sin ^2(c+d x))^2} \, dx\)
 3.98 \(\int \frac{\csc (c+d x)}{(a+b \sin ^2(c+d x))^2} \, dx\)
 3.99 \(\int \frac{\csc ^3(c+d x)}{(a+b \sin ^2(c+d x))^2} \, dx\)
 3.100 \(\int \frac{\sin ^6(c+d x)}{(a+b \sin ^2(c+d x))^2} \, dx\)
 3.101 \(\int \frac{\sin ^4(c+d x)}{(a+b \sin ^2(c+d x))^2} \, dx\)
 3.102 \(\int \frac{\sin ^2(c+d x)}{(a+b \sin ^2(c+d x))^2} \, dx\)
 3.103 \(\int \frac{1}{(a+b \sin ^2(c+d x))^2} \, dx\)
 3.104 \(\int \frac{\csc ^2(c+d x)}{(a+b \sin ^2(c+d x))^2} \, dx\)
 3.105 \(\int \frac{\csc ^4(c+d x)}{(a+b \sin ^2(c+d x))^2} \, dx\)
 3.106 \(\int \frac{\sin ^6(c+d x)}{(a+b \sin ^2(c+d x))^3} \, dx\)
 3.107 \(\int \frac{\sin ^4(c+d x)}{(a+b \sin ^2(c+d x))^3} \, dx\)
 3.108 \(\int \frac{\sin ^2(c+d x)}{(a+b \sin ^2(c+d x))^3} \, dx\)
 3.109 \(\int \frac{1}{(a+b \sin ^2(c+d x))^3} \, dx\)
 3.110 \(\int \frac{\csc ^2(c+d x)}{(a+b \sin ^2(c+d x))^3} \, dx\)
 3.111 \(\int \frac{1}{(a+b \sin ^2(c+d x))^4} \, dx\)
 3.112 \(\int \frac{1}{(a+b \sin ^2(c+d x))^5} \, dx\)
 3.113 \(\int \frac{\sin (x)}{\sqrt{1+\sin ^2(x)}} \, dx\)
 3.114 \(\int \sin (x) \sqrt{1+\sin ^2(x)} \, dx\)
 3.115 \(\int \frac{\sin (7+3 x)}{\sqrt{3+\sin ^2(7+3 x)}} \, dx\)
 3.116 \(\int (a-a \sin ^2(x))^{5/2} \, dx\)
 3.117 \(\int (a-a \sin ^2(x))^{3/2} \, dx\)
 3.118 \(\int \sqrt{a-a \sin ^2(x)} \, dx\)
 3.119 \(\int \frac{1}{\sqrt{a-a \sin ^2(x)}} \, dx\)
 3.120 \(\int \frac{1}{(a-a \sin ^2(x))^{3/2}} \, dx\)
 3.121 \(\int \frac{1}{(a-a \sin ^2(x))^{5/2}} \, dx\)
 3.122 \(\int \sin ^3(e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.123 \(\int \sin (e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.124 \(\int \csc (e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.125 \(\int \csc ^3(e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.126 \(\int \csc ^5(e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.127 \(\int \sin ^4(e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.128 \(\int \sin ^2(e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.129 \(\int \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.130 \(\int \csc ^2(e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.131 \(\int \csc ^4(e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.132 \(\int \sin ^3(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.133 \(\int \sin (e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.134 \(\int \csc (e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.135 \(\int \csc ^3(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.136 \(\int \csc ^5(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.137 \(\int \csc ^7(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.138 \(\int \sin ^4(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.139 \(\int \sin ^2(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.140 \(\int (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.141 \(\int \csc ^2(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.142 \(\int \csc ^4(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.143 \(\int (a+b \sin ^2(c+d x))^{5/2} \, dx\)
 3.144 \(\int \frac{\sin ^3(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.145 \(\int \frac{\sin (e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.146 \(\int \frac{\csc (e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.147 \(\int \frac{\csc ^3(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.148 \(\int \frac{\sin ^4(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.149 \(\int \frac{\sin ^2(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.150 \(\int \frac{1}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.151 \(\int \frac{\csc ^2(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.152 \(\int \frac{\csc ^4(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.153 \(\int \frac{\sin ^3(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.154 \(\int \frac{\sin (e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.155 \(\int \frac{\csc (e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.156 \(\int \frac{\csc ^3(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.157 \(\int \frac{\sin ^6(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.158 \(\int \frac{\sin ^4(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.159 \(\int \frac{\sin ^2(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.160 \(\int \frac{1}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.161 \(\int \frac{\csc ^2(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.162 \(\int \frac{\sin ^5(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.163 \(\int \frac{\sin ^3(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.164 \(\int \frac{\sin (e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.165 \(\int \frac{\csc (e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.166 \(\int \frac{\sin ^6(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.167 \(\int \frac{\sin ^4(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.168 \(\int \frac{\sin ^2(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.169 \(\int \frac{1}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.170 \(\int \frac{\csc ^2(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.171 \(\int (d \sin (e+f x))^m (a+b \sin ^2(e+f x))^p \, dx\)
 3.172 \(\int \sin ^5(e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.173 \(\int \sin ^3(e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.174 \(\int \sin (e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.175 \(\int \csc (e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.176 \(\int \csc ^3(e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.177 \(\int \csc ^5(e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.178 \(\int \sin ^4(e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.179 \(\int \sin ^2(e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.180 \(\int \csc ^2(e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.181 \(\int \csc ^4(e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.182 \(\int \frac{\sin ^7(c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.183 \(\int \frac{\sin ^5(c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.184 \(\int \frac{\sin ^3(c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.185 \(\int \frac{\sin (c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.186 \(\int \frac{\csc (c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.187 \(\int \frac{\csc ^3(c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.188 \(\int \frac{\csc ^5(c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.189 \(\int \frac{\sin ^6(c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.190 \(\int \frac{\sin ^4(c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.191 \(\int \frac{\sin ^2(c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.192 \(\int \frac{1}{a+b \sin ^3(c+d x)} \, dx\)
 3.193 \(\int \frac{\csc ^2(c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.194 \(\int \frac{\csc ^4(c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.195 \(\int \frac{\sin ^9(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.196 \(\int \frac{\sin ^7(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.197 \(\int \frac{\sin ^5(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.198 \(\int \frac{\sin ^3(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.199 \(\int \frac{\sin (c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.200 \(\int \frac{\csc (c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.201 \(\int \frac{\csc ^3(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.202 \(\int \frac{\csc ^5(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.203 \(\int \frac{\sin ^8(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.204 \(\int \frac{\sin ^6(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.205 \(\int \frac{\sin ^4(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.206 \(\int \frac{\sin ^2(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.207 \(\int \frac{1}{a-b \sin ^4(c+d x)} \, dx\)
 3.208 \(\int \frac{\csc ^2(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.209 \(\int \frac{\csc ^4(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.210 \(\int \frac{\csc ^6(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.211 \(\int \frac{\csc ^8(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.212 \(\int \frac{\sin ^9(c+d x)}{(a-b \sin ^4(c+d x))^2} \, dx\)
 3.213 \(\int \frac{\sin ^7(c+d x)}{(a-b \sin ^4(c+d x))^2} \, dx\)
 3.214 \(\int \frac{\sin ^5(c+d x)}{(a-b \sin ^4(c+d x))^2} \, dx\)
 3.215 \(\int \frac{\sin ^3(c+d x)}{(a-b \sin ^4(c+d x))^2} \, dx\)
 3.216 \(\int \frac{\sin (c+d x)}{(a-b \sin ^4(c+d x))^2} \, dx\)
 3.217 \(\int \frac{\csc (c+d x)}{(a-b \sin ^4(c+d x))^2} \, dx\)
 3.218 \(\int \frac{\sin ^8(c+d x)}{(a-b \sin ^4(c+d x))^2} \, dx\)
 3.219 \(\int \frac{\sin ^6(c+d x)}{(a-b \sin ^4(c+d x))^2} \, dx\)
 3.220 \(\int \frac{\sin ^4(c+d x)}{(a-b \sin ^4(c+d x))^2} \, dx\)
 3.221 \(\int \frac{\sin ^2(c+d x)}{(a-b \sin ^4(c+d x))^2} \, dx\)
 3.222 \(\int \frac{1}{(a-b \sin ^4(c+d x))^2} \, dx\)
 3.223 \(\int \frac{\csc ^2(c+d x)}{(a-b \sin ^4(c+d x))^2} \, dx\)
 3.224 \(\int \frac{\sin ^9(c+d x)}{(a-b \sin ^4(c+d x))^3} \, dx\)
 3.225 \(\int \frac{\sin ^7(c+d x)}{(a-b \sin ^4(c+d x))^3} \, dx\)
 3.226 \(\int \frac{\sin ^5(c+d x)}{(a-b \sin ^4(c+d x))^3} \, dx\)
 3.227 \(\int \frac{\sin ^3(c+d x)}{(a-b \sin ^4(c+d x))^3} \, dx\)
 3.228 \(\int \frac{\sin (c+d x)}{(a-b \sin ^4(c+d x))^3} \, dx\)
 3.229 \(\int \frac{\csc (c+d x)}{(a-b \sin ^4(c+d x))^3} \, dx\)
 3.230 \(\int \frac{\sin ^8(c+d x)}{(a-b \sin ^4(c+d x))^3} \, dx\)
 3.231 \(\int \frac{\sin ^6(c+d x)}{(a-b \sin ^4(c+d x))^3} \, dx\)
 3.232 \(\int \frac{\sin ^4(c+d x)}{(a-b \sin ^4(c+d x))^3} \, dx\)
 3.233 \(\int \frac{\sin ^2(c+d x)}{(a-b \sin ^4(c+d x))^3} \, dx\)
 3.234 \(\int \frac{1}{(a-b \sin ^4(c+d x))^3} \, dx\)
 3.235 \(\int \frac{\csc ^2(c+d x)}{(a-b \sin ^4(c+d x))^3} \, dx\)
 3.236 \(\int \frac{1}{1-\sin ^4(x)} \, dx\)
 3.237 \(\int \frac{1}{a+b \sin ^4(x)} \, dx\)
 3.238 \(\int \frac{1}{1+\sin ^4(x)} \, dx\)
 3.239 \(\int \sin (c+d x) \sqrt{a+b \sin ^4(c+d x)} \, dx\)
 3.240 \(\int \csc (c+d x) \sqrt{a+b \sin ^4(c+d x)} \, dx\)
 3.241 \(\int \frac{\sin ^5(c+d x)}{\sqrt{a+b \sin ^4(c+d x)}} \, dx\)
 3.242 \(\int \frac{\sin ^3(c+d x)}{\sqrt{a+b \sin ^4(c+d x)}} \, dx\)
 3.243 \(\int \frac{\sin (c+d x)}{\sqrt{a+b \sin ^4(c+d x)}} \, dx\)
 3.244 \(\int \frac{\csc (c+d x)}{\sqrt{a+b \sin ^4(c+d x)}} \, dx\)
 3.245 \(\int \frac{\csc ^3(c+d x)}{\sqrt{a+b \sin ^4(c+d x)}} \, dx\)
 3.246 \(\int \frac{\sin ^2(c+d x)}{\sqrt{a+b \sin ^4(c+d x)}} \, dx\)
 3.247 \(\int \frac{1}{\sqrt{a+b \sin ^4(c+d x)}} \, dx\)
 3.248 \(\int \frac{\csc ^2(c+d x)}{\sqrt{a+b \sin ^4(c+d x)}} \, dx\)
 3.249 \(\int \frac{1}{a+b \sin ^5(x)} \, dx\)
 3.250 \(\int \frac{1}{a+b \sin ^6(x)} \, dx\)
 3.251 \(\int \frac{1}{a+b \sin ^8(x)} \, dx\)
 3.252 \(\int \frac{1}{a-b \sin ^5(x)} \, dx\)
 3.253 \(\int \frac{1}{a-b \sin ^6(x)} \, dx\)
 3.254 \(\int \frac{1}{a-b \sin ^8(x)} \, dx\)
 3.255 \(\int \frac{1}{1+\sin ^5(x)} \, dx\)
 3.256 \(\int \frac{1}{1+\sin ^6(x)} \, dx\)
 3.257 \(\int \frac{1}{1+\sin ^8(x)} \, dx\)
 3.258 \(\int \frac{1}{1-\sin ^5(x)} \, dx\)
 3.259 \(\int \frac{1}{1-\sin ^6(x)} \, dx\)
 3.260 \(\int \frac{1}{1-\sin ^8(x)} \, dx\)
 3.261 \(\int \frac{\cos ^9(x)}{a-a \sin ^2(x)} \, dx\)
 3.262 \(\int \frac{\cos ^7(x)}{a-a \sin ^2(x)} \, dx\)
 3.263 \(\int \frac{\cos ^5(x)}{a-a \sin ^2(x)} \, dx\)
 3.264 \(\int \frac{\cos ^3(x)}{a-a \sin ^2(x)} \, dx\)
 3.265 \(\int \frac{\cos (x)}{a-a \sin ^2(x)} \, dx\)
 3.266 \(\int \frac{\sec ^3(x)}{a-a \sin ^2(x)} \, dx\)
 3.267 \(\int \frac{\cos ^6(x)}{a-a \sin ^2(x)} \, dx\)
 3.268 \(\int \frac{\cos ^4(x)}{a-a \sin ^2(x)} \, dx\)
 3.269 \(\int \frac{\cos ^2(x)}{a-a \sin ^2(x)} \, dx\)
 3.270 \(\int \frac{\sec (x)}{a-a \sin ^2(x)} \, dx\)
 3.271 \(\int \frac{\sec ^2(x)}{a-a \sin ^2(x)} \, dx\)
 3.272 \(\int \frac{\sec ^4(x)}{a-a \sin ^2(x)} \, dx\)
 3.273 \(\int \frac{\cos ^9(x)}{(a-a \sin ^2(x))^2} \, dx\)
 3.274 \(\int \frac{\cos ^7(x)}{(a-a \sin ^2(x))^2} \, dx\)
 3.275 \(\int \frac{\cos ^5(x)}{(a-a \sin ^2(x))^2} \, dx\)
 3.276 \(\int \frac{\cos ^3(x)}{(a-a \sin ^2(x))^2} \, dx\)
 3.277 \(\int \frac{\cos (x)}{(a-a \sin ^2(x))^2} \, dx\)
 3.278 \(\int \frac{\sec (x)}{(a-a \sin ^2(x))^2} \, dx\)
 3.279 \(\int \frac{\cos ^8(x)}{(a-a \sin ^2(x))^2} \, dx\)
 3.280 \(\int \frac{\cos ^6(x)}{(a-a \sin ^2(x))^2} \, dx\)
 3.281 \(\int \frac{\cos ^4(x)}{(a-a \sin ^2(x))^2} \, dx\)
 3.282 \(\int \frac{\cos ^2(x)}{(a-a \sin ^2(x))^2} \, dx\)
 3.283 \(\int \frac{\sec ^2(x)}{(a-a \sin ^2(x))^2} \, dx\)
 3.284 \(\int \frac{\sec ^4(x)}{(a-a \sin ^2(x))^2} \, dx\)
 3.285 \(\int \cos ^6(e+f x) (a+b \sin ^2(e+f x)) \, dx\)
 3.286 \(\int \cos ^4(e+f x) (a+b \sin ^2(e+f x)) \, dx\)
 3.287 \(\int \cos ^2(e+f x) (a+b \sin ^2(e+f x)) \, dx\)
 3.288 \(\int (a+b \sin ^2(e+f x)) \, dx\)
 3.289 \(\int \sec ^2(e+f x) (a+b \sin ^2(e+f x)) \, dx\)
 3.290 \(\int \sec ^4(e+f x) (a+b \sin ^2(e+f x)) \, dx\)
 3.291 \(\int \sec ^6(e+f x) (a+b \sin ^2(e+f x)) \, dx\)
 3.292 \(\int \sec ^8(e+f x) (a+b \sin ^2(e+f x)) \, dx\)
 3.293 \(\int \cos ^4(e+f x) (a+b \sin ^2(e+f x))^2 \, dx\)
 3.294 \(\int \cos ^2(e+f x) (a+b \sin ^2(e+f x))^2 \, dx\)
 3.295 \(\int (a+b \sin ^2(e+f x))^2 \, dx\)
 3.296 \(\int \sec ^2(e+f x) (a+b \sin ^2(e+f x))^2 \, dx\)
 3.297 \(\int \sec ^4(e+f x) (a+b \sin ^2(e+f x))^2 \, dx\)
 3.298 \(\int \sec ^6(e+f x) (a+b \sin ^2(e+f x))^2 \, dx\)
 3.299 \(\int \sec ^8(e+f x) (a+b \sin ^2(e+f x))^2 \, dx\)
 3.300 \(\int \sec ^{10}(e+f x) (a+b \sin ^2(e+f x))^2 \, dx\)
 3.301 \(\int \frac{\cos ^7(x)}{a+b \sin ^2(x)} \, dx\)
 3.302 \(\int \frac{\cos ^6(x)}{a+b \sin ^2(x)} \, dx\)
 3.303 \(\int \frac{\cos ^5(x)}{a+b \sin ^2(x)} \, dx\)
 3.304 \(\int \frac{\cos ^4(x)}{a+b \sin ^2(x)} \, dx\)
 3.305 \(\int \frac{\cos ^3(x)}{a+b \sin ^2(x)} \, dx\)
 3.306 \(\int \frac{\cos ^2(x)}{a+b \sin ^2(x)} \, dx\)
 3.307 \(\int \frac{\cos (x)}{a+b \sin ^2(x)} \, dx\)
 3.308 \(\int \frac{\sec (x)}{a+b \sin ^2(x)} \, dx\)
 3.309 \(\int \frac{\sec ^2(x)}{a+b \sin ^2(x)} \, dx\)
 3.310 \(\int \frac{\sec ^3(x)}{a+b \sin ^2(x)} \, dx\)
 3.311 \(\int \frac{\sec ^4(x)}{a+b \sin ^2(x)} \, dx\)
 3.312 \(\int \frac{\sec ^5(x)}{a+b \sin ^2(x)} \, dx\)
 3.313 \(\int \frac{\sec ^6(x)}{a+b \sin ^2(x)} \, dx\)
 3.314 \(\int \frac{\cos ^6(x)}{(a+b \sin ^2(x))^2} \, dx\)
 3.315 \(\int \frac{\cos ^5(x)}{(a+b \sin ^2(x))^2} \, dx\)
 3.316 \(\int \frac{\cos ^4(x)}{(a+b \sin ^2(x))^2} \, dx\)
 3.317 \(\int \frac{\cos ^3(x)}{(a+b \sin ^2(x))^2} \, dx\)
 3.318 \(\int \frac{\cos ^2(x)}{(a+b \sin ^2(x))^2} \, dx\)
 3.319 \(\int \frac{\cos (x)}{(a+b \sin ^2(x))^2} \, dx\)
 3.320 \(\int \frac{\sec (x)}{(a+b \sin ^2(x))^2} \, dx\)
 3.321 \(\int \frac{\sec ^2(x)}{(a+b \sin ^2(x))^2} \, dx\)
 3.322 \(\int \frac{\sec ^3(x)}{(a+b \sin ^2(x))^2} \, dx\)
 3.323 \(\int \frac{\sec ^4(x)}{(a+b \sin ^2(x))^2} \, dx\)
 3.324 \(\int \cos ^3(e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.325 \(\int \cos (e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.326 \(\int \sec (e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.327 \(\int \sec ^3(e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.328 \(\int \sec ^5(e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.329 \(\int \cos ^4(e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.330 \(\int \cos ^2(e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.331 \(\int \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.332 \(\int \sec ^2(e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.333 \(\int \sec ^4(e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.334 \(\int \cos ^3(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.335 \(\int \cos (e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.336 \(\int \sec (e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.337 \(\int \sec ^3(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.338 \(\int \sec ^5(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.339 \(\int \sec ^7(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.340 \(\int \cos ^4(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.341 \(\int \cos ^2(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.342 \(\int (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.343 \(\int \sec ^2(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.344 \(\int \sec ^4(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.345 \(\int \frac{\cos ^3(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.346 \(\int \frac{\cos (e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.347 \(\int \frac{\sec (e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.348 \(\int \frac{\sec ^3(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.349 \(\int \frac{\cos ^4(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.350 \(\int \frac{\cos ^2(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.351 \(\int \frac{1}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.352 \(\int \frac{\sec ^2(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.353 \(\int \frac{\sec ^4(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.354 \(\int \frac{\cos ^3(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.355 \(\int \frac{\cos (e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.356 \(\int \frac{\sec (e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.357 \(\int \frac{\sec ^3(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.358 \(\int \frac{\cos ^6(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.359 \(\int \frac{\cos ^4(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.360 \(\int \frac{\cos ^2(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.361 \(\int \frac{1}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.362 \(\int \frac{\sec ^2(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.363 \(\int \frac{\cos ^5(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.364 \(\int \frac{\cos ^3(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.365 \(\int \frac{\cos (e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.366 \(\int \frac{\sec (e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.367 \(\int \frac{\cos ^6(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.368 \(\int \frac{\cos ^4(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.369 \(\int \frac{\cos ^2(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.370 \(\int \frac{1}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.371 \(\int \frac{\sec ^2(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.372 \(\int (d \cos (e+f x))^m (a+b \sin ^2(e+f x))^p \, dx\)
 3.373 \(\int \cos ^5(e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.374 \(\int \cos ^3(e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.375 \(\int \cos (e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.376 \(\int \sec (e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.377 \(\int \sec ^3(e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.378 \(\int \cos ^4(e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.379 \(\int \cos ^2(e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.380 \(\int (a+b \sin ^2(e+f x))^p \, dx\)
 3.381 \(\int \sec ^2(e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.382 \(\int \sec ^4(e+f x) (a+b \sin ^2(e+f x))^p \, dx\)
 3.383 \(\int \frac{\cos ^5(c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.384 \(\int \frac{\cos ^3(c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.385 \(\int \frac{\cos (c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.386 \(\int \frac{\sec (c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.387 \(\int \frac{\sec ^3(c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.388 \(\int \frac{\cos ^4(c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.389 \(\int \frac{\cos ^2(c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.390 \(\int \frac{1}{a+b \sin ^3(c+d x)} \, dx\)
 3.391 \(\int \frac{\sec ^2(c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.392 \(\int \frac{\sec ^4(c+d x)}{a+b \sin ^3(c+d x)} \, dx\)
 3.393 \(\int \frac{\cos ^7(c+d x)}{(a+b \sin ^3(c+d x))^2} \, dx\)
 3.394 \(\int \frac{\cos ^5(c+d x)}{(a+b \sin ^3(c+d x))^2} \, dx\)
 3.395 \(\int \frac{\cos ^3(c+d x)}{(a+b \sin ^3(c+d x))^2} \, dx\)
 3.396 \(\int \frac{\cos (c+d x)}{(a+b \sin ^3(c+d x))^2} \, dx\)
 3.397 \(\int \frac{\sec (c+d x)}{(a+b \sin ^3(c+d x))^2} \, dx\)
 3.398 \(\int \frac{\sec ^3(c+d x)}{(a+b \sin ^3(c+d x))^2} \, dx\)
 3.399 \(\int \frac{\cos ^4(c+d x)}{(a+b \sin ^3(c+d x))^2} \, dx\)
 3.400 \(\int \frac{\cos ^2(c+d x)}{(a+b \sin ^3(c+d x))^2} \, dx\)
 3.401 \(\int \frac{1}{(a+b \sin ^3(c+d x))^2} \, dx\)
 3.402 \(\int \frac{\sec ^2(c+d x)}{(a+b \sin ^3(c+d x))^2} \, dx\)
 3.403 \(\int \frac{\sec ^4(c+d x)}{(a+b \sin ^3(c+d x))^2} \, dx\)
 3.404 \(\int \frac{\cos ^7(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.405 \(\int \frac{\cos ^5(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.406 \(\int \frac{\cos ^3(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.407 \(\int \frac{\cos (c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.408 \(\int \frac{\sec (c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.409 \(\int \frac{\sec ^3(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.410 \(\int \frac{\sec ^5(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.411 \(\int \frac{\cos ^{10}(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.412 \(\int \frac{\cos ^8(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.413 \(\int \frac{\cos ^6(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.414 \(\int \frac{\cos ^4(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.415 \(\int \frac{\cos ^2(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.416 \(\int \frac{\sec ^2(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.417 \(\int \frac{\sec ^4(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.418 \(\int \frac{\sec ^6(c+d x)}{a-b \sin ^4(c+d x)} \, dx\)
 3.419 \(\int \cos ^m(e+f x) (a+b \sin ^4(e+f x))^p \, dx\)
 3.420 \(\int \cos ^5(e+f x) (a+b \sin ^4(e+f x))^p \, dx\)
 3.421 \(\int \cos ^3(e+f x) (a+b \sin ^4(e+f x))^p \, dx\)
 3.422 \(\int \cos (e+f x) (a+b \sin ^4(e+f x))^p \, dx\)
 3.423 \(\int \sec (e+f x) (a+b \sin ^4(e+f x))^p \, dx\)
 3.424 \(\int \sec ^3(e+f x) (a+b \sin ^4(e+f x))^p \, dx\)
 3.425 \(\int \cos ^4(e+f x) (a+b \sin ^4(e+f x))^p \, dx\)
 3.426 \(\int \cos ^2(e+f x) (a+b \sin ^4(e+f x))^p \, dx\)
 3.427 \(\int (a+b \sin ^4(e+f x))^p \, dx\)
 3.428 \(\int \sec ^2(e+f x) (a+b \sin ^4(e+f x))^p \, dx\)
 3.429 \(\int \sec ^4(e+f x) (a+b \sin ^4(e+f x))^p \, dx\)
 3.430 \(\int \cos ^m(e+f x) (a+b \sin ^n(e+f x))^p \, dx\)
 3.431 \(\int \cos ^5(e+f x) (a+b \sin ^n(e+f x))^p \, dx\)
 3.432 \(\int \cos ^3(e+f x) (a+b \sin ^n(e+f x))^p \, dx\)
 3.433 \(\int \cos (e+f x) (a+b \sin ^n(e+f x))^p \, dx\)
 3.434 \(\int \sec (e+f x) (a+b \sin ^n(e+f x))^p \, dx\)
 3.435 \(\int \sec ^3(e+f x) (a+b \sin ^n(e+f x))^p \, dx\)
 3.436 \(\int \cos ^4(e+f x) (a+b \sin ^n(e+f x))^p \, dx\)
 3.437 \(\int \cos ^2(e+f x) (a+b \sin ^n(e+f x))^p \, dx\)
 3.438 \(\int (a+b \sin ^n(e+f x))^p \, dx\)
 3.439 \(\int \sec ^2(e+f x) (a+b \sin ^n(e+f x))^p \, dx\)
 3.440 \(\int \sec ^4(e+f x) (a+b \sin ^n(e+f x))^p \, dx\)
 3.441 \(\int \frac{\tan ^7(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.442 \(\int \frac{\tan ^5(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.443 \(\int \frac{\tan ^3(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.444 \(\int \frac{\tan (c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.445 \(\int \frac{\cot (c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.446 \(\int \frac{\cot ^3(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.447 \(\int \frac{\cot ^5(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.448 \(\int \frac{\cot ^7(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.449 \(\int \frac{\tan ^8(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.450 \(\int \frac{\tan ^6(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.451 \(\int \frac{\tan ^4(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.452 \(\int \frac{\tan ^2(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.453 \(\int \frac{\cot ^2(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.454 \(\int \frac{\cot ^4(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.455 \(\int \frac{\cot ^6(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.456 \(\int \frac{\cot ^8(c+d x)}{a+b \sin ^2(c+d x)} \, dx\)
 3.457 \(\int \sqrt{a-a \sin ^2(e+f x)} \tan ^5(e+f x) \, dx\)
 3.458 \(\int \sqrt{a-a \sin ^2(e+f x)} \tan ^3(e+f x) \, dx\)
 3.459 \(\int \sqrt{a-a \sin ^2(e+f x)} \tan (e+f x) \, dx\)
 3.460 \(\int \cot (e+f x) \sqrt{a-a \sin ^2(e+f x)} \, dx\)
 3.461 \(\int \cot ^3(e+f x) \sqrt{a-a \sin ^2(e+f x)} \, dx\)
 3.462 \(\int \sqrt{a-a \sin ^2(e+f x)} \tan ^6(e+f x) \, dx\)
 3.463 \(\int \sqrt{a-a \sin ^2(e+f x)} \tan ^4(e+f x) \, dx\)
 3.464 \(\int \sqrt{a-a \sin ^2(e+f x)} \tan ^2(e+f x) \, dx\)
 3.465 \(\int \cot ^2(e+f x) \sqrt{a-a \sin ^2(e+f x)} \, dx\)
 3.466 \(\int \cot ^4(e+f x) \sqrt{a-a \sin ^2(e+f x)} \, dx\)
 3.467 \(\int \cot ^6(e+f x) \sqrt{a-a \sin ^2(e+f x)} \, dx\)
 3.468 \(\int \frac{\tan ^5(e+f x)}{\sqrt{a-a \sin ^2(e+f x)}} \, dx\)
 3.469 \(\int \frac{\tan ^3(e+f x)}{\sqrt{a-a \sin ^2(e+f x)}} \, dx\)
 3.470 \(\int \frac{\tan (e+f x)}{\sqrt{a-a \sin ^2(e+f x)}} \, dx\)
 3.471 \(\int \frac{\cot (e+f x)}{\sqrt{a-a \sin ^2(e+f x)}} \, dx\)
 3.472 \(\int \frac{\cot ^3(e+f x)}{\sqrt{a-a \sin ^2(e+f x)}} \, dx\)
 3.473 \(\int \frac{\tan ^4(e+f x)}{\sqrt{a-a \sin ^2(e+f x)}} \, dx\)
 3.474 \(\int \frac{\tan ^2(e+f x)}{\sqrt{a-a \sin ^2(e+f x)}} \, dx\)
 3.475 \(\int \frac{\cot ^2(e+f x)}{\sqrt{a-a \sin ^2(e+f x)}} \, dx\)
 3.476 \(\int \frac{\cot ^4(e+f x)}{\sqrt{a-a \sin ^2(e+f x)}} \, dx\)
 3.477 \(\int \frac{\cot ^6(e+f x)}{\sqrt{a-a \sin ^2(e+f x)}} \, dx\)
 3.478 \(\int \frac{\tan ^5(e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\)
 3.479 \(\int \frac{\tan ^3(e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\)
 3.480 \(\int \frac{\tan (e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\)
 3.481 \(\int \frac{\cot (e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\)
 3.482 \(\int \frac{\cot ^3(e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\)
 3.483 \(\int \frac{\tan ^2(e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\)
 3.484 \(\int \frac{\cot ^2(e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\)
 3.485 \(\int \frac{\cot ^4(e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\)
 3.486 \(\int \frac{\cot ^6(e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\)
 3.487 \(\int \frac{\cot ^8(e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\)
 3.488 \(\int \sqrt{a+b \sin ^2(e+f x)} \tan ^5(e+f x) \, dx\)
 3.489 \(\int \sqrt{a+b \sin ^2(e+f x)} \tan ^3(e+f x) \, dx\)
 3.490 \(\int \sqrt{a+b \sin ^2(e+f x)} \tan (e+f x) \, dx\)
 3.491 \(\int \cot (e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.492 \(\int \cot ^3(e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.493 \(\int \cot ^5(e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.494 \(\int \sqrt{a+b \sin ^2(e+f x)} \tan ^4(e+f x) \, dx\)
 3.495 \(\int \sqrt{a+b \sin ^2(e+f x)} \tan ^2(e+f x) \, dx\)
 3.496 \(\int \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.497 \(\int \cot ^2(e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.498 \(\int \cot ^4(e+f x) \sqrt{a+b \sin ^2(e+f x)} \, dx\)
 3.499 \(\int (a+b \sin ^2(e+f x))^{3/2} \tan ^5(e+f x) \, dx\)
 3.500 \(\int (a+b \sin ^2(e+f x))^{3/2} \tan ^3(e+f x) \, dx\)
 3.501 \(\int (a+b \sin ^2(e+f x))^{3/2} \tan (e+f x) \, dx\)
 3.502 \(\int \cot (e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.503 \(\int \cot ^3(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.504 \(\int \cot ^5(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.505 \(\int (a+b \sin ^2(e+f x))^{3/2} \tan ^4(e+f x) \, dx\)
 3.506 \(\int (a+b \sin ^2(e+f x))^{3/2} \tan ^2(e+f x) \, dx\)
 3.507 \(\int (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.508 \(\int \cot ^2(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.509 \(\int \cot ^4(e+f x) (a+b \sin ^2(e+f x))^{3/2} \, dx\)
 3.510 \(\int \frac{\tan ^5(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.511 \(\int \frac{\tan ^3(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.512 \(\int \frac{\tan (e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.513 \(\int \frac{\cot (e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.514 \(\int \frac{\cot ^3(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.515 \(\int \frac{\cot ^5(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.516 \(\int \frac{\tan ^4(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.517 \(\int \frac{\tan ^2(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.518 \(\int \frac{1}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.519 \(\int \frac{\cot ^2(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.520 \(\int \frac{\cot ^4(e+f x)}{\sqrt{a+b \sin ^2(e+f x)}} \, dx\)
 3.521 \(\int \frac{\tan ^5(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.522 \(\int \frac{\tan ^3(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.523 \(\int \frac{\tan (e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.524 \(\int \frac{\cot (e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.525 \(\int \frac{\cot ^3(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.526 \(\int \frac{\cot ^5(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.527 \(\int \frac{\tan ^4(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.528 \(\int \frac{\tan ^2(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.529 \(\int \frac{1}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.530 \(\int \frac{\cot ^2(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.531 \(\int \frac{\cot ^4(e+f x)}{(a+b \sin ^2(e+f x))^{3/2}} \, dx\)
 3.532 \(\int \frac{\tan ^5(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.533 \(\int \frac{\tan ^3(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.534 \(\int \frac{\tan (e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.535 \(\int \frac{\cot (e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.536 \(\int \frac{\cot ^3(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.537 \(\int \frac{\cot ^5(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.538 \(\int \frac{\tan ^4(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.539 \(\int \frac{\tan ^2(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.540 \(\int \frac{1}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.541 \(\int \frac{\cot ^2(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.542 \(\int \frac{\cot ^4(e+f x)}{(a+b \sin ^2(e+f x))^{5/2}} \, dx\)
 3.543 \(\int (a+b \sin ^2(e+f x))^p (d \tan (e+f x))^m \, dx\)
 3.544 \(\int (a+b \sin ^2(c+d x))^p \tan ^3(c+d x) \, dx\)
 3.545 \(\int (a+b \sin ^2(c+d x))^p \tan (c+d x) \, dx\)
 3.546 \(\int \cot (c+d x) (a+b \sin ^2(c+d x))^p \, dx\)
 3.547 \(\int \cot ^3(c+d x) (a+b \sin ^2(c+d x))^p \, dx\)
 3.548 \(\int (a+b \sin ^2(c+d x))^p \tan ^4(c+d x) \, dx\)
 3.549 \(\int (a+b \sin ^2(c+d x))^p \tan ^2(c+d x) \, dx\)
 3.550 \(\int \cot ^2(c+d x) (a+b \sin ^2(c+d x))^p \, dx\)
 3.551 \(\int \cot ^4(c+d x) (a+b \sin ^2(c+d x))^p \, dx\)
 3.552 \(\int \frac{\cot ^3(x)}{a+b \sin ^3(x)} \, dx\)
 3.553 \(\int \cot (x) \sqrt{a+b \sin ^3(x)} \, dx\)
 3.554 \(\int \frac{\cot (x)}{\sqrt{a+b \sin ^3(x)}} \, dx\)
 3.555 \(\int \cot (c+d x) \sqrt{a+b \sin ^4(c+d x)} \, dx\)
 3.556 \(\int \frac{\tan ^3(c+d x)}{\sqrt{a+b \sin ^4(c+d x)}} \, dx\)
 3.557 \(\int \frac{\tan (c+d x)}{\sqrt{a+b \sin ^4(c+d x)}} \, dx\)
 3.558 \(\int \frac{\cot (c+d x)}{\sqrt{a+b \sin ^4(c+d x)}} \, dx\)
 3.559 \(\int \frac{\cot ^3(c+d x)}{\sqrt{a+b \sin ^4(c+d x)}} \, dx\)
 3.560 \(\int \frac{\cot ^5(c+d x)}{\sqrt{a+b \sin ^4(c+d x)}} \, dx\)
 3.561 \(\int \frac{\tan ^2(c+d x)}{\sqrt{a+b \sin ^4(c+d x)}} \, dx\)
 3.562 \(\int \frac{1}{\sqrt{a+b \sin ^4(c+d x)}} \, dx\)
 3.563 \(\int \frac{\cot ^2(c+d x)}{\sqrt{a+b \sin ^4(c+d x)}} \, dx\)
 3.564 \(\int (a+b \sin ^4(c+d x))^p \tan ^m(c+d x) \, dx\)
 3.565 \(\int (a+b \sin ^4(c+d x))^p \tan ^3(c+d x) \, dx\)
 3.566 \(\int (a+b \sin ^4(c+d x))^p \tan (c+d x) \, dx\)
 3.567 \(\int \cot (c+d x) (a+b \sin ^4(c+d x))^p \, dx\)
 3.568 \(\int \cot ^3(c+d x) (a+b \sin ^4(c+d x))^p \, dx\)
 3.569 \(\int (a+b \sin ^4(c+d x))^p \tan ^4(c+d x) \, dx\)
 3.570 \(\int (a+b \sin ^4(c+d x))^p \tan ^2(c+d x) \, dx\)
 3.571 \(\int (a+b \sin ^4(c+d x))^p \, dx\)
 3.572 \(\int \cot ^2(c+d x) (a+b \sin ^4(c+d x))^p \, dx\)
 3.573 \(\int \cot ^4(c+d x) (a+b \sin ^4(c+d x))^p \, dx\)
 3.574 \(\int (a+b \sin ^n(c+d x))^3 \tan ^m(c+d x) \, dx\)
 3.575 \(\int (a+b \sin ^n(c+d x))^2 \tan ^m(c+d x) \, dx\)
 3.576 \(\int (a+b \sin ^n(c+d x)) \tan ^m(c+d x) \, dx\)
 3.577 \(\int \frac{\tan ^m(c+d x)}{a+b \sin ^n(c+d x)} \, dx\)
 3.578 \(\int \frac{\tan ^m(c+d x)}{(a+b \sin ^n(c+d x))^2} \, dx\)
 3.579 \(\int \cot (x) \sqrt{a+b \sin ^n(x)} \, dx\)
 3.580 \(\int \frac{\cot (x)}{\sqrt{a+b \sin ^n(x)}} \, dx\)
 3.581 \(\int (a+b \sin ^n(c+d x))^p \tan ^m(c+d x) \, dx\)
 3.582 \(\int (a+b \sin ^n(c+d x))^p \tan ^3(c+d x) \, dx\)
 3.583 \(\int (a+b \sin ^n(c+d x))^p \tan (c+d x) \, dx\)
 3.584 \(\int \cot (c+d x) (a+b \sin ^n(c+d x))^p \, dx\)
 3.585 \(\int \cot ^3(c+d x) (a+b \sin ^n(c+d x))^p \, dx\)
 3.586 \(\int (a+b \sin ^n(c+d x))^p \tan ^4(c+d x) \, dx\)
 3.587 \(\int (a+b \sin ^n(c+d x))^p \tan ^2(c+d x) \, dx\)
 3.588 \(\int (a+b \sin ^n(c+d x))^p \, dx\)
 3.589 \(\int \cot ^2(c+d x) (a+b \sin ^n(c+d x))^p \, dx\)
 3.590 \(\int \cot ^4(c+d x) (a+b \sin ^n(c+d x))^p \, dx\)
 3.591 \(\int \frac{a+b \sin ^2(e+f x)}{(g \cos (e+f x))^{5/2} \sqrt{d \sin (e+f x)}} \, dx\)
 3.592 \(\int (c \cos (e+f x))^m (d \sin (e+f x))^n (a+b \sin ^2(e+f x))^p \, dx\)
 3.593 \(\int \sqrt{a+(c \cos (e+f x)+b \sin (e+f x))^2} \, dx\)
 3.594 \(\int \frac{1}{\sqrt{a+(c \cos (e+f x)+b \sin (e+f x))^2}} \, dx\)