3.1 \(\int \frac{2}{3-\cos (4+6 x)} \, dx\)
 3.2 \(\int \frac{2 \csc (4+6 x)}{-\cot (4+6 x)+3 \csc (4+6 x)} \, dx\)
 3.3 \(\int \frac{1}{1+\sin ^2(2+3 x)} \, dx\)
 3.4 \(\int \frac{1}{2-\cos ^2(2+3 x)} \, dx\)
 3.5 \(\int \frac{1}{\cos ^2(2+3 x)+2 \sin ^2(2+3 x)} \, dx\)
 3.6 \(\int \frac{\sec ^2(2+3 x)}{1+2 \tan ^2(2+3 x)} \, dx\)
 3.7 \(\int \frac{\csc ^2(2+3 x)}{2+\cot ^2(2+3 x)} \, dx\)
 3.8 \(\int \frac{2}{1-3 \cos (4+6 x)} \, dx\)
 3.9 \(\int \frac{2 \csc (4+6 x)}{-3 \cot (4+6 x)+\csc (4+6 x)} \, dx\)
 3.10 \(\int \frac{1}{-1+3 \sin ^2(2+3 x)} \, dx\)
 3.11 \(\int \frac{1}{2-3 \cos ^2(2+3 x)} \, dx\)
 3.12 \(\int \frac{1}{-\cos ^2(2+3 x)+2 \sin ^2(2+3 x)} \, dx\)
 3.13 \(\int \frac{\sec ^2(2+3 x)}{-1+2 \tan ^2(2+3 x)} \, dx\)
 3.14 \(\int \frac{\csc ^2(2+3 x)}{2-\cot ^2(2+3 x)} \, dx\)
 3.15 \(\int \frac{2}{3+\cos (4+6 x)} \, dx\)
 3.16 \(\int \frac{2 \csc (4+6 x)}{\cot (4+6 x)+3 \csc (4+6 x)} \, dx\)
 3.17 \(\int \frac{1}{2-\sin ^2(2+3 x)} \, dx\)
 3.18 \(\int \frac{1}{1+\cos ^2(2+3 x)} \, dx\)
 3.19 \(\int \frac{1}{2 \cos ^2(2+3 x)+\sin ^2(2+3 x)} \, dx\)
 3.20 \(\int \frac{\sec ^2(2+3 x)}{2+\tan ^2(2+3 x)} \, dx\)
 3.21 \(\int \frac{\csc ^2(2+3 x)}{1+2 \cot ^2(2+3 x)} \, dx\)
 3.22 \(\int -\frac{2}{1+3 \cos (4+6 x)} \, dx\)
 3.23 \(\int -\frac{2 \csc (4+6 x)}{3 \cot (4+6 x)+\csc (4+6 x)} \, dx\)
 3.24 \(\int \frac{1}{-2+3 \sin ^2(2+3 x)} \, dx\)
 3.25 \(\int \frac{1}{1-3 \cos ^2(2+3 x)} \, dx\)
 3.26 \(\int \frac{1}{-2 \cos ^2(2+3 x)+\sin ^2(2+3 x)} \, dx\)
 3.27 \(\int \frac{\sec ^2(2+3 x)}{-2+\tan ^2(2+3 x)} \, dx\)
 3.28 \(\int \frac{\csc ^2(2+3 x)}{1-2 \cot ^2(2+3 x)} \, dx\)
 3.29 \(\int (x+\sin (x))^2 \, dx\)
 3.30 \(\int (x+\sin (x))^3 \, dx\)
 3.31 \(\int \frac{\sin (a+b x)}{c+d x^2} \, dx\)
 3.32 \(\int \frac{\sin (a+b x)}{c+d x+e x^2} \, dx\)
 3.33 \(\int \frac{\sin (\sqrt{-7+x})}{\sqrt{-7+x}} \, dx\)
 3.34 \(\int \frac{\sqrt{b-\frac{a}{x^2}} \sin (x)}{\sqrt{a-b x^2}} \, dx\)
 3.35 \(\int \frac{1}{x (1+\sin (\log (x)))} \, dx\)
 3.36 \(\int \sin (\frac{a+b x}{c+d x}) \, dx\)
 3.37 \(\int \sin ^2(\frac{a+b x}{c+d x}) \, dx\)
 3.38 \(\int \sin ^3(\frac{a+b x}{c+d x}) \, dx\)
 3.39 \(\int \frac{\sin ^3(\frac{\sqrt{1-a x}}{\sqrt{1+a x}})}{1-a^2 x^2} \, dx\)
 3.40 \(\int \frac{\sin ^2(\frac{\sqrt{1-a x}}{\sqrt{1+a x}})}{1-a^2 x^2} \, dx\)
 3.41 \(\int \frac{\sin (\frac{\sqrt{1-a x}}{\sqrt{1+a x}})}{1-a^2 x^2} \, dx\)
 3.42 \(\int \frac{\csc (\frac{\sqrt{1-a x}}{\sqrt{1+a x}})}{1-a^2 x^2} \, dx\)
 3.43 \(\int \frac{\csc ^2(\frac{\sqrt{1-a x}}{\sqrt{1+a x}})}{1-a^2 x^2} \, dx\)
 3.44 \(\int (x+\cos (x))^2 \, dx\)
 3.45 \(\int (x+\cos (x))^3 \, dx\)
 3.46 \(\int \frac{\cos (a+b x)}{c+d x^2} \, dx\)
 3.47 \(\int \frac{\cos (a+b x)}{c+d x+e x^2} \, dx\)
 3.48 \(\int \frac{x \cos (\sqrt{1+x^2})}{\sqrt{1+x^2}} \, dx\)
 3.49 \(\int \frac{x \cos (\sqrt{3} \sqrt{2+x^2})}{\sqrt{2+x^2}} \, dx\)
 3.50 \(\int \frac{(-1+2 x) \cos (\sqrt{6+3 (-1+2 x)^2})}{\sqrt{6+3 (-1+2 x)^2}} \, dx\)
 3.51 \(\int \cos (\frac{a+b x}{c+d x}) \, dx\)
 3.52 \(\int \cos ^2(\frac{a+b x}{c+d x}) \, dx\)
 3.53 \(\int \frac{\cos ^3(\frac{\sqrt{1-a x}}{\sqrt{1+a x}})}{1-a^2 x^2} \, dx\)
 3.54 \(\int \frac{\cos ^2(\frac{\sqrt{1-a x}}{\sqrt{1+a x}})}{1-a^2 x^2} \, dx\)
 3.55 \(\int \frac{\cos (\frac{\sqrt{1-a x}}{\sqrt{1+a x}})}{1-a^2 x^2} \, dx\)
 3.56 \(\int \frac{\sec (\frac{\sqrt{1-a x}}{\sqrt{1+a x}})}{1-a^2 x^2} \, dx\)
 3.57 \(\int \frac{\sec ^2(\frac{\sqrt{1-a x}}{\sqrt{1+a x}})}{1-a^2 x^2} \, dx\)
 3.58 \(\int \frac{\tan (\sqrt{x})}{\sqrt{x}} \, dx\)
 3.59 \(\int \frac{\tan ^2(\sqrt{x})}{\sqrt{x}} \, dx\)
 3.60 \(\int \sqrt{x} \tan (\sqrt{x}) \, dx\)
 3.61 \(\int (\frac{b \tan (a+b x+c x^2)}{2 c}+x \tan (a+b x+c x^2)) \, dx\)
 3.62 \(\int \frac{\cot ^2(\sqrt{x})}{\sqrt{x}} \, dx\)
 3.63 \(\int \frac{\sqrt{a+b \sec (c+d x)}}{1+\cos (c+d x)} \, dx\)
 3.64 \(\int \sec (a+b x) \sec (2 a+2 b x) \, dx\)
 3.65 \(\int \sec (a+b x) \sec (2 (a+b x)) \, dx\)
 3.66 \(\int \sin (x) \sin (2 x) \, dx\)
 3.67 \(\int \sin (x) \sin (3 x) \, dx\)
 3.68 \(\int \sin (x) \sin (4 x) \, dx\)
 3.69 \(\int \sin (x) \sin (m x) \, dx\)
 3.70 \(\int \cos (2 x) \sin (x) \, dx\)
 3.71 \(\int \cos (3 x) \sin (x) \, dx\)
 3.72 \(\int \cos (4 x) \sin (x) \, dx\)
 3.73 \(\int \cos (m x) \sin (x) \, dx\)
 3.74 \(\int \sin (x) \tan (2 x) \, dx\)
 3.75 \(\int \sin (x) \tan (3 x) \, dx\)
 3.76 \(\int \sin (x) \tan (4 x) \, dx\)
 3.77 \(\int \sin (x) \tan (5 x) \, dx\)
 3.78 \(\int \sin (x) \tan (6 x) \, dx\)
 3.79 \(\int \sin (x) \tan (n x) \, dx\)
 3.80 \(\int \cot (2 x) \sin (x) \, dx\)
 3.81 \(\int \cot (3 x) \sin (x) \, dx\)
 3.82 \(\int \cot (4 x) \sin (x) \, dx\)
 3.83 \(\int \cot (5 x) \sin (x) \, dx\)
 3.84 \(\int \cot (6 x) \sin (x) \, dx\)
 3.85 \(\int \sec (2 x) \sin (x) \, dx\)
 3.86 \(\int \sec (3 x) \sin (x) \, dx\)
 3.87 \(\int \sec (4 x) \sin (x) \, dx\)
 3.88 \(\int \sec (5 x) \sin (x) \, dx\)
 3.89 \(\int \sec (6 x) \sin (x) \, dx\)
 3.90 \(\int \csc (2 x) \sin (x) \, dx\)
 3.91 \(\int \csc (3 x) \sin (x) \, dx\)
 3.92 \(\int \csc (4 x) \sin (x) \, dx\)
 3.93 \(\int \csc (5 x) \sin (x) \, dx\)
 3.94 \(\int \csc (6 x) \sin (x) \, dx\)
 3.95 \(\int \csc (x) \sin (3 x) \, dx\)
 3.96 \(\int \csc (3 x) \sin (6 x) \, dx\)
 3.97 \(\int \cos (x) \sin (2 x) \, dx\)
 3.98 \(\int \cos (x) \sin (3 x) \, dx\)
 3.99 \(\int \cos (x) \sin (4 x) \, dx\)
 3.100 \(\int \cos (x) \sin (m x) \, dx\)
 3.101 \(\int \cos (x) \cos (2 x) \, dx\)
 3.102 \(\int \cos (x) \cos (3 x) \, dx\)
 3.103 \(\int \cos (x) \cos (4 x) \, dx\)
 3.104 \(\int \cos (x) \cos (m x) \, dx\)
 3.105 \(\int \cos (x) \tan (2 x) \, dx\)
 3.106 \(\int \cos (x) \tan (3 x) \, dx\)
 3.107 \(\int \cos (x) \tan (4 x) \, dx\)
 3.108 \(\int \cos (x) \tan (5 x) \, dx\)
 3.109 \(\int \cos (x) \tan (6 x) \, dx\)
 3.110 \(\int \cos (x) \cot (2 x) \, dx\)
 3.111 \(\int \cos (x) \cot (3 x) \, dx\)
 3.112 \(\int \cos (x) \cot (4 x) \, dx\)
 3.113 \(\int \cos (x) \cot (5 x) \, dx\)
 3.114 \(\int \cos (x) \cot (6 x) \, dx\)
 3.115 \(\int \cos (x) \cot (n x) \, dx\)
 3.116 \(\int \cos (x) \sec (2 x) \, dx\)
 3.117 \(\int \cos (x) \sec (3 x) \, dx\)
 3.118 \(\int \cos (x) \sec (4 x) \, dx\)
 3.119 \(\int \cos (x) \sec (5 x) \, dx\)
 3.120 \(\int \cos (x) \sec (6 x) \, dx\)
 3.121 \(\int \cos (2 x) \sec (x) \, dx\)
 3.122 \(\int \cos (4 x) \sec (2 x) \, dx\)
 3.123 \(\int \cos (x) \csc (2 x) \, dx\)
 3.124 \(\int \cos (x) \csc (3 x) \, dx\)
 3.125 \(\int \cos (x) \csc (4 x) \, dx\)
 3.126 \(\int \cos (x) \csc (5 x) \, dx\)
 3.127 \(\int \cos (x) \csc (6 x) \, dx\)
 3.128 \(\int \cos ^3(6 x) \sin (x) \, dx\)
 3.129 \(\int \cos ^3(6 x) \sin (9 x) \, dx\)
 3.130 \(\int \cos (2 x) \sin ^2(6 x) \, dx\)
 3.131 \(\int \cos (x) \sin ^2(6 x) \, dx\)
 3.132 \(\int \cos (x) \sin ^3(6 x) \, dx\)
 3.133 \(\int \cos (7 x) \sin ^3(6 x) \, dx\)
 3.134 \(\int \cos ^2(3 x) \sin ^3(2 x) \, dx\)
 3.135 \(\int \sin (a+b x) \sin (c+b x) \, dx\)
 3.136 \(\int \sin (c-b x) \sin (a+b x) \, dx\)
 3.137 \(\int \cos (a+b x) \cos (c+b x) \, dx\)
 3.138 \(\int \cos (c-b x) \cos (a+b x) \, dx\)
 3.139 \(\int \tan (a+b x) \tan (c+b x) \, dx\)
 3.140 \(\int \tan (c-b x) \tan (a+b x) \, dx\)
 3.141 \(\int \cot (a+b x) \cot (c+b x) \, dx\)
 3.142 \(\int \cot (c-b x) \cot (a+b x) \, dx\)
 3.143 \(\int \sec (a+b x) \sec (c+b x) \, dx\)
 3.144 \(\int \sec (c-b x) \sec (a+b x) \, dx\)
 3.145 \(\int \csc (a+b x) \csc (c+b x) \, dx\)
 3.146 \(\int \csc (c-b x) \csc (a+b x) \, dx\)
 3.147 \(\int \sqrt{\sin (x) \tan (x)} \, dx\)
 3.148 \(\int (\sin (x) \tan (x))^{3/2} \, dx\)
 3.149 \(\int (\sin (x) \tan (x))^{5/2} \, dx\)
 3.150 \(\int \sqrt{\cos (x) \cot (x)} \, dx\)
 3.151 \(\int (\cos (x) \cot (x))^{3/2} \, dx\)
 3.152 \(\int (\cos (x) \cot (x))^{5/2} \, dx\)
 3.153 \(\int \frac{x \cos (x)}{(a+b \sin (x))^2} \, dx\)
 3.154 \(\int \frac{x \cos (x)}{(a+b \sin (x))^3} \, dx\)
 3.155 \(\int \frac{x \sin (x)}{(a+b \cos (x))^2} \, dx\)
 3.156 \(\int \frac{x \sin (x)}{(a+b \cos (x))^3} \, dx\)
 3.157 \(\int \frac{x \sec ^2(x)}{(a+b \tan (x))^2} \, dx\)
 3.158 \(\int \frac{x \csc ^2(x)}{(a+b \cot (x))^2} \, dx\)
 3.159 \(\int \frac{\sec ^2(c+d x)}{a+b \tan ^2(c+d x)} \, dx\)
 3.160 \(\int \frac{x \sec ^2(c+d x)}{a+b \tan ^2(c+d x)} \, dx\)
 3.161 \(\int \frac{x^2 \sec ^2(c+d x)}{a+b \tan ^2(c+d x)} \, dx\)
 3.162 \(\int \frac{\sec ^2(c+d x)}{a+c \sec ^2(c+d x)+b \tan ^2(c+d x)} \, dx\)
 3.163 \(\int \frac{x \sec ^2(c+d x)}{a+c \sec ^2(c+d x)+b \tan ^2(c+d x)} \, dx\)
 3.164 \(\int \frac{x^2 \sec ^2(c+d x)}{a+c \sec ^2(c+d x)+b \tan ^2(c+d x)} \, dx\)
 3.165 \(\int x^3 \sqrt{a-a \sin (e+f x)} \sqrt{c+c \sin (e+f x)} \, dx\)
 3.166 \(\int x^2 \sqrt{a-a \sin (e+f x)} \sqrt{c+c \sin (e+f x)} \, dx\)
 3.167 \(\int x \sqrt{a-a \sin (e+f x)} \sqrt{c+c \sin (e+f x)} \, dx\)
 3.168 \(\int \frac{\sqrt{a-a \sin (e+f x)} \sqrt{c+c \sin (e+f x)}}{x} \, dx\)
 3.169 \(\int \frac{\sqrt{a-a \sin (e+f x)} \sqrt{c+c \sin (e+f x)}}{x^2} \, dx\)
 3.170 \(\int \frac{\sqrt{a-a \sin (e+f x)} \sqrt{c+c \sin (e+f x)}}{x^3} \, dx\)
 3.171 \(\int x^3 \sqrt{a-a \sin (e+f x)} (c+c \sin (e+f x))^{3/2} \, dx\)
 3.172 \(\int x^2 \sqrt{a-a \sin (e+f x)} (c+c \sin (e+f x))^{3/2} \, dx\)
 3.173 \(\int x \sqrt{a-a \sin (e+f x)} (c+c \sin (e+f x))^{3/2} \, dx\)
 3.174 \(\int \frac{\sqrt{a-a \sin (e+f x)} (c+c \sin (e+f x))^{3/2}}{x} \, dx\)
 3.175 \(\int \frac{\sqrt{a-a \sin (e+f x)} (c+c \sin (e+f x))^{3/2}}{x^2} \, dx\)
 3.176 \(\int \frac{\sqrt{a-a \sin (e+f x)} (c+c \sin (e+f x))^{3/2}}{x^3} \, dx\)
 3.177 \(\int \frac{(g+h x)^3 \sqrt{a-a \sin (e+f x)}}{\sqrt{c+c \sin (e+f x)}} \, dx\)
 3.178 \(\int \frac{(g+h x)^2 \sqrt{a-a \sin (e+f x)}}{\sqrt{c+c \sin (e+f x)}} \, dx\)
 3.179 \(\int \frac{(g+h x) \sqrt{a-a \sin (e+f x)}}{\sqrt{c+c \sin (e+f x)}} \, dx\)
 3.180 \(\int \frac{\sqrt{a-a \sin (e+f x)}}{(g+h x) \sqrt{c+c \sin (e+f x)}} \, dx\)
 3.181 \(\int \frac{x^3 \sqrt{a-a \sin (e+f x)}}{(c+c \sin (e+f x))^{3/2}} \, dx\)
 3.182 \(\int \frac{x^2 \sqrt{a-a \sin (e+f x)}}{(c+c \sin (e+f x))^{3/2}} \, dx\)
 3.183 \(\int \frac{x \sqrt{a-a \sin (e+f x)}}{(c+c \sin (e+f x))^{3/2}} \, dx\)
 3.184 \(\int \frac{z^2 \sqrt{1+\cos (z)}}{\sqrt{1-\cos (z)}} \, dz\)
 3.185 \(\int (a+a \cos (x)) (A+B \sec (x)) \, dx\)
 3.186 \(\int (a+a \cos (x))^2 (A+B \sec (x)) \, dx\)
 3.187 \(\int (a+a \cos (x))^3 (A+B \sec (x)) \, dx\)
 3.188 \(\int (a+a \cos (x))^4 (A+B \sec (x)) \, dx\)
 3.189 \(\int \frac{A+B \sec (x)}{a+a \cos (x)} \, dx\)
 3.190 \(\int \frac{A+B \sec (x)}{(a+a \cos (x))^2} \, dx\)
 3.191 \(\int \frac{A+B \sec (x)}{(a+a \cos (x))^3} \, dx\)
 3.192 \(\int \frac{A+B \sec (x)}{(a+a \cos (x))^4} \, dx\)
 3.193 \(\int (a+a \cos (x))^{5/2} (A+B \sec (x)) \, dx\)
 3.194 \(\int (a+a \cos (x))^{3/2} (A+B \sec (x)) \, dx\)
 3.195 \(\int \sqrt{a+a \cos (x)} (A+B \sec (x)) \, dx\)
 3.196 \(\int \frac{A+B \sec (x)}{\sqrt{a+a \cos (x)}} \, dx\)
 3.197 \(\int \frac{A+B \sec (x)}{(a+a \cos (x))^{3/2}} \, dx\)
 3.198 \(\int \frac{A+B \sec (x)}{(a+a \cos (x))^{5/2}} \, dx\)
 3.199 \(\int \frac{x (b+a \sin (x))}{(a+b \sin (x))^2} \, dx\)
 3.200 \(\int \frac{x (b+a \cos (x))}{(a+b \cos (x))^2} \, dx\)
 3.201 \(\int \frac{1+\sin ^2(x)}{1-\sin ^2(x)} \, dx\)
 3.202 \(\int \frac{1-\sin ^2(x)}{1+\sin ^2(x)} \, dx\)
 3.203 \(\int \frac{1+\cos ^2(x)}{1-\cos ^2(x)} \, dx\)
 3.204 \(\int \frac{1-\cos ^2(x)}{1+\cos ^2(x)} \, dx\)
 3.205 \(\int \frac{-1+\frac{c^2}{d^2}+\sin ^2(x)}{c+d \cos (x)} \, dx\)
 3.206 \(\int \frac{a+b \sin ^2(x)}{c+d \cos (x)} \, dx\)
 3.207 \(\int \frac{a+b \sin ^2(x)}{c+c \cos ^2(x)} \, dx\)
 3.208 \(\int \frac{a+b \sin ^2(x)}{c-c \cos ^2(x)} \, dx\)
 3.209 \(\int \frac{a+b \sin ^2(x)}{c+d \cos ^2(x)} \, dx\)
 3.210 \(\int \frac{-1+\frac{c^2}{d^2}+\cos ^2(x)}{c+d \sin (x)} \, dx\)
 3.211 \(\int \frac{a+b \cos ^2(x)}{c+d \sin (x)} \, dx\)
 3.212 \(\int \frac{a+b \cos ^2(x)}{c+c \sin ^2(x)} \, dx\)
 3.213 \(\int \frac{a+b \cos ^2(x)}{c-c \sin ^2(x)} \, dx\)
 3.214 \(\int \frac{a+b \cos ^2(x)}{c+d \sin ^2(x)} \, dx\)
 3.215 \(\int \frac{a+b \sec ^2(x)}{c+d \cos (x)} \, dx\)
 3.216 \(\int \frac{a+b \csc ^2(x)}{c+d \sin (x)} \, dx\)
 3.217 \(\int (a \cos (c+d x)+b \sin (c+d x))^n \, dx\)
 3.218 \(\int (2 \cos (c+d x)+3 \sin (c+d x))^n \, dx\)
 3.219 \(\int (a \cos (c+d x)+b \sin (c+d x))^7 \, dx\)
 3.220 \(\int (a \cos (c+d x)+b \sin (c+d x))^6 \, dx\)
 3.221 \(\int (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
 3.222 \(\int (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
 3.223 \(\int (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\)
 3.224 \(\int (a \cos (c+d x)+b \sin (c+d x))^2 \, dx\)
 3.225 \(\int (a \cos (c+d x)+b \sin (c+d x)) \, dx\)
 3.226 \(\int \frac{1}{a \cos (c+d x)+b \sin (c+d x)} \, dx\)
 3.227 \(\int \frac{1}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\)
 3.228 \(\int \frac{1}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\)
 3.229 \(\int \frac{1}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\)
 3.230 \(\int \frac{1}{(a \cos (c+d x)+b \sin (c+d x))^5} \, dx\)
 3.231 \(\int \frac{1}{(a \cos (c+d x)+b \sin (c+d x))^6} \, dx\)
 3.232 \(\int (a \cos (c+d x)+b \sin (c+d x))^{7/2} \, dx\)
 3.233 \(\int (a \cos (c+d x)+b \sin (c+d x))^{5/2} \, dx\)
 3.234 \(\int (a \cos (c+d x)+b \sin (c+d x))^{3/2} \, dx\)
 3.235 \(\int \sqrt{a \cos (c+d x)+b \sin (c+d x)} \, dx\)
 3.236 \(\int \frac{1}{\sqrt{a \cos (c+d x)+b \sin (c+d x)}} \, dx\)
 3.237 \(\int \frac{1}{(a \cos (c+d x)+b \sin (c+d x))^{3/2}} \, dx\)
 3.238 \(\int \frac{1}{(a \cos (c+d x)+b \sin (c+d x))^{5/2}} \, dx\)
 3.239 \(\int \frac{1}{(a \cos (c+d x)+b \sin (c+d x))^{7/2}} \, dx\)
 3.240 \(\int (2 \cos (c+d x)+3 \sin (c+d x))^{7/2} \, dx\)
 3.241 \(\int (2 \cos (c+d x)+3 \sin (c+d x))^{5/2} \, dx\)
 3.242 \(\int (2 \cos (c+d x)+3 \sin (c+d x))^{3/2} \, dx\)
 3.243 \(\int \sqrt{2 \cos (c+d x)+3 \sin (c+d x)} \, dx\)
 3.244 \(\int \frac{1}{\sqrt{2 \cos (c+d x)+3 \sin (c+d x)}} \, dx\)
 3.245 \(\int \frac{1}{(2 \cos (c+d x)+3 \sin (c+d x))^{3/2}} \, dx\)
 3.246 \(\int \frac{1}{(2 \cos (c+d x)+3 \sin (c+d x))^{5/2}} \, dx\)
 3.247 \(\int \frac{1}{(2 \cos (c+d x)+3 \sin (c+d x))^{7/2}} \, dx\)
 3.248 \(\int (a \cos (c+d x)+i a \sin (c+d x))^n \, dx\)
 3.249 \(\int (a \cos (c+d x)+i a \sin (c+d x))^4 \, dx\)
 3.250 \(\int (a \cos (c+d x)+i a \sin (c+d x))^3 \, dx\)
 3.251 \(\int (a \cos (c+d x)+i a \sin (c+d x))^2 \, dx\)
 3.252 \(\int (a \cos (c+d x)+i a \sin (c+d x)) \, dx\)
 3.253 \(\int \frac{1}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\)
 3.254 \(\int \frac{1}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\)
 3.255 \(\int \frac{1}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\)
 3.256 \(\int \frac{1}{(a \cos (c+d x)+i a \sin (c+d x))^4} \, dx\)
 3.257 \(\int (a \cos (c+d x)+i a \sin (c+d x))^{5/2} \, dx\)
 3.258 \(\int (a \cos (c+d x)+i a \sin (c+d x))^{3/2} \, dx\)
 3.259 \(\int \sqrt{a \cos (c+d x)+i a \sin (c+d x)} \, dx\)
 3.260 \(\int \frac{1}{\sqrt{a \cos (c+d x)+i a \sin (c+d x)}} \, dx\)
 3.261 \(\int \frac{1}{(a \cos (c+d x)+i a \sin (c+d x))^{3/2}} \, dx\)
 3.262 \(\int \frac{1}{(a \cos (c+d x)+i a \sin (c+d x))^{5/2}} \, dx\)
 3.263 \(\int (a \sec (x)+b \tan (x))^5 \, dx\)
 3.264 \(\int (a \sec (x)+b \tan (x))^4 \, dx\)
 3.265 \(\int (a \sec (x)+b \tan (x))^3 \, dx\)
 3.266 \(\int (a \sec (x)+b \tan (x))^2 \, dx\)
 3.267 \(\int (a \sec (x)+b \tan (x)) \, dx\)
 3.268 \(\int \frac{1}{a \sec (x)+b \tan (x)} \, dx\)
 3.269 \(\int \frac{1}{(a \sec (x)+b \tan (x))^2} \, dx\)
 3.270 \(\int \frac{1}{(a \sec (x)+b \tan (x))^3} \, dx\)
 3.271 \(\int \frac{1}{(a \sec (x)+b \tan (x))^4} \, dx\)
 3.272 \(\int \frac{1}{(a \sec (x)+b \tan (x))^5} \, dx\)
 3.273 \(\int (\sec (x)+\tan (x))^5 \, dx\)
 3.274 \(\int (\sec (x)+\tan (x))^4 \, dx\)
 3.275 \(\int (\sec (x)+\tan (x))^3 \, dx\)
 3.276 \(\int (\sec (x)+\tan (x))^2 \, dx\)
 3.277 \(\int (\sec (x)+\tan (x)) \, dx\)
 3.278 \(\int \frac{1}{\sec (x)+\tan (x)} \, dx\)
 3.279 \(\int \frac{1}{(\sec (x)+\tan (x))^2} \, dx\)
 3.280 \(\int \frac{1}{(\sec (x)+\tan (x))^3} \, dx\)
 3.281 \(\int \frac{1}{(\sec (x)+\tan (x))^4} \, dx\)
 3.282 \(\int \frac{1}{(\sec (x)+\tan (x))^5} \, dx\)
 3.283 \(\int (a \cot (x)+b \csc (x))^5 \, dx\)
 3.284 \(\int (a \cot (x)+b \csc (x))^4 \, dx\)
 3.285 \(\int (a \cot (x)+b \csc (x))^3 \, dx\)
 3.286 \(\int (a \cot (x)+b \csc (x))^2 \, dx\)
 3.287 \(\int (a \cot (x)+b \csc (x)) \, dx\)
 3.288 \(\int \frac{1}{a \cot (x)+b \csc (x)} \, dx\)
 3.289 \(\int \frac{1}{(a \cot (x)+b \csc (x))^2} \, dx\)
 3.290 \(\int \frac{1}{(a \cot (x)+b \csc (x))^3} \, dx\)
 3.291 \(\int \frac{1}{(a \cot (x)+b \csc (x))^4} \, dx\)
 3.292 \(\int \frac{1}{(a \cot (x)+b \csc (x))^5} \, dx\)
 3.293 \(\int (\cot (x)+\csc (x))^5 \, dx\)
 3.294 \(\int (\cot (x)+\csc (x))^4 \, dx\)
 3.295 \(\int (\cot (x)+\csc (x))^3 \, dx\)
 3.296 \(\int (\cot (x)+\csc (x))^2 \, dx\)
 3.297 \(\int (\cot (x)+\csc (x)) \, dx\)
 3.298 \(\int \frac{1}{\cot (x)+\csc (x)} \, dx\)
 3.299 \(\int \frac{1}{(\cot (x)+\csc (x))^2} \, dx\)
 3.300 \(\int \frac{1}{(\cot (x)+\csc (x))^3} \, dx\)
 3.301 \(\int \frac{1}{(\cot (x)+\csc (x))^4} \, dx\)
 3.302 \(\int \frac{1}{(\cot (x)+\csc (x))^5} \, dx\)
 3.303 \(\int (\csc (x)-\sin (x))^4 \, dx\)
 3.304 \(\int (\csc (x)-\sin (x))^3 \, dx\)
 3.305 \(\int (\csc (x)-\sin (x))^2 \, dx\)
 3.306 \(\int (\csc (x)-\sin (x)) \, dx\)
 3.307 \(\int \frac{1}{\csc (x)-\sin (x)} \, dx\)
 3.308 \(\int \frac{1}{(\csc (x)-\sin (x))^2} \, dx\)
 3.309 \(\int \frac{1}{(\csc (x)-\sin (x))^3} \, dx\)
 3.310 \(\int \frac{1}{(\csc (x)-\sin (x))^4} \, dx\)
 3.311 \(\int \frac{1}{(\csc (x)-\sin (x))^5} \, dx\)
 3.312 \(\int \frac{1}{(\csc (x)-\sin (x))^6} \, dx\)
 3.313 \(\int \frac{1}{(\csc (x)-\sin (x))^7} \, dx\)
 3.314 \(\int (\csc (x)-\sin (x))^{7/2} \, dx\)
 3.315 \(\int (\csc (x)-\sin (x))^{5/2} \, dx\)
 3.316 \(\int (\csc (x)-\sin (x))^{3/2} \, dx\)
 3.317 \(\int \sqrt{\csc (x)-\sin (x)} \, dx\)
 3.318 \(\int \frac{1}{\sqrt{\csc (x)-\sin (x)}} \, dx\)
 3.319 \(\int \frac{1}{(\csc (x)-\sin (x))^{3/2}} \, dx\)
 3.320 \(\int \frac{1}{(\csc (x)-\sin (x))^{5/2}} \, dx\)
 3.321 \(\int \frac{1}{(\csc (x)-\sin (x))^{7/2}} \, dx\)
 3.322 \(\int (-\cos (x)+\sec (x))^4 \, dx\)
 3.323 \(\int (-\cos (x)+\sec (x))^3 \, dx\)
 3.324 \(\int (-\cos (x)+\sec (x))^2 \, dx\)
 3.325 \(\int (-\cos (x)+\sec (x)) \, dx\)
 3.326 \(\int \frac{1}{-\cos (x)+\sec (x)} \, dx\)
 3.327 \(\int \frac{1}{(-\cos (x)+\sec (x))^2} \, dx\)
 3.328 \(\int \frac{1}{(-\cos (x)+\sec (x))^3} \, dx\)
 3.329 \(\int \frac{1}{(-\cos (x)+\sec (x))^4} \, dx\)
 3.330 \(\int \frac{1}{(-\cos (x)+\sec (x))^5} \, dx\)
 3.331 \(\int \frac{1}{(-\cos (x)+\sec (x))^6} \, dx\)
 3.332 \(\int \frac{1}{(-\cos (x)+\sec (x))^7} \, dx\)
 3.333 \(\int (-\cos (x)+\sec (x))^{7/2} \, dx\)
 3.334 \(\int (-\cos (x)+\sec (x))^{5/2} \, dx\)
 3.335 \(\int (-\cos (x)+\sec (x))^{3/2} \, dx\)
 3.336 \(\int \sqrt{-\cos (x)+\sec (x)} \, dx\)
 3.337 \(\int \frac{1}{\sqrt{-\cos (x)+\sec (x)}} \, dx\)
 3.338 \(\int \frac{1}{(-\cos (x)+\sec (x))^{3/2}} \, dx\)
 3.339 \(\int \frac{1}{(-\cos (x)+\sec (x))^{5/2}} \, dx\)
 3.340 \(\int \frac{1}{(-\cos (x)+\sec (x))^{7/2}} \, dx\)
 3.341 \(\int (\sin (x)+\tan (x))^4 \, dx\)
 3.342 \(\int (\sin (x)+\tan (x))^3 \, dx\)
 3.343 \(\int (\sin (x)+\tan (x))^2 \, dx\)
 3.344 \(\int (\sin (x)+\tan (x)) \, dx\)
 3.345 \(\int \frac{1}{\sin (x)+\tan (x)} \, dx\)
 3.346 \(\int \frac{1}{(\sin (x)+\tan (x))^2} \, dx\)
 3.347 \(\int \frac{1}{(\sin (x)+\tan (x))^3} \, dx\)
 3.348 \(\int \frac{1}{(\sin (x)+\tan (x))^4} \, dx\)
 3.349 \(\int \frac{A+C \sin (x)}{b \cos (x)+c \sin (x)} \, dx\)
 3.350 \(\int \frac{A+C \sin (x)}{(b \cos (x)+c \sin (x))^2} \, dx\)
 3.351 \(\int \frac{A+C \sin (x)}{(b \cos (x)+c \sin (x))^3} \, dx\)
 3.352 \(\int \frac{A+B \cos (x)}{b \cos (x)+c \sin (x)} \, dx\)
 3.353 \(\int \frac{A+B \cos (x)}{(b \cos (x)+c \sin (x))^2} \, dx\)
 3.354 \(\int \frac{A+B \cos (x)}{(b \cos (x)+c \sin (x))^3} \, dx\)
 3.355 \(\int (\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^4 \, dx\)
 3.356 \(\int (\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^3 \, dx\)
 3.357 \(\int (\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^2 \, dx\)
 3.358 \(\int (\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)) \, dx\)
 3.359 \(\int \frac{1}{\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)} \, dx\)
 3.360 \(\int \frac{1}{(\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^2} \, dx\)
 3.361 \(\int \frac{1}{(\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^3} \, dx\)
 3.362 \(\int \frac{1}{(\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^4} \, dx\)
 3.363 \(\int (2 a+2 a \cos (d+e x)+2 c \sin (d+e x))^3 \, dx\)
 3.364 \(\int (2 a+2 a \cos (d+e x)+2 c \sin (d+e x))^2 \, dx\)
 3.365 \(\int (2 a+2 a \cos (d+e x)+2 c \sin (d+e x)) \, dx\)
 3.366 \(\int \frac{1}{2 a+2 a \cos (d+e x)+2 c \sin (d+e x)} \, dx\)
 3.367 \(\int \frac{1}{(2 a+2 a \cos (d+e x)+2 c \sin (d+e x))^2} \, dx\)
 3.368 \(\int \frac{1}{(2 a+2 a \cos (d+e x)+2 c \sin (d+e x))^3} \, dx\)
 3.369 \(\int \frac{1}{(2 a+2 a \cos (d+e x)+2 c \sin (d+e x))^4} \, dx\)
 3.370 \(\int \frac{1}{2 a+2 a \cos (d+e x)+2 a \sin (d+e x)} \, dx\)
 3.371 \(\int \frac{1}{(2 a+2 a \cos (d+e x)+2 a \sin (d+e x))^2} \, dx\)
 3.372 \(\int \frac{1}{(2 a+2 a \cos (d+e x)+2 a \sin (d+e x))^3} \, dx\)
 3.373 \(\int \frac{1}{(2 a+2 a \cos (d+e x)+2 a \sin (d+e x))^4} \, dx\)
 3.374 \(\int (2 a-2 a \cos (d+e x)+2 c \sin (d+e x))^3 \, dx\)
 3.375 \(\int (2 a-2 a \cos (d+e x)+2 c \sin (d+e x))^2 \, dx\)
 3.376 \(\int (2 a-2 a \cos (d+e x)+2 c \sin (d+e x)) \, dx\)
 3.377 \(\int \frac{1}{2 a-2 a \cos (d+e x)+2 c \sin (d+e x)} \, dx\)
 3.378 \(\int \frac{1}{(2 a-2 a \cos (d+e x)+2 c \sin (d+e x))^2} \, dx\)
 3.379 \(\int \frac{1}{(2 a-2 a \cos (d+e x)+2 c \sin (d+e x))^3} \, dx\)
 3.380 \(\int \frac{1}{(2 a-2 a \cos (d+e x)+2 c \sin (d+e x))^4} \, dx\)
 3.381 \(\int (2 a+2 b \cos (d+e x)+2 a \sin (d+e x))^3 \, dx\)
 3.382 \(\int (2 a+2 b \cos (d+e x)+2 a \sin (d+e x))^2 \, dx\)
 3.383 \(\int (2 a+2 b \cos (d+e x)+2 a \sin (d+e x)) \, dx\)
 3.384 \(\int \frac{1}{2 a+2 b \cos (d+e x)+2 a \sin (d+e x)} \, dx\)
 3.385 \(\int \frac{1}{(2 a+2 b \cos (d+e x)+2 a \sin (d+e x))^2} \, dx\)
 3.386 \(\int \frac{1}{(2 a+2 b \cos (d+e x)+2 a \sin (d+e x))^3} \, dx\)
 3.387 \(\int \frac{1}{(2 a+2 b \cos (d+e x)+2 a \sin (d+e x))^4} \, dx\)
 3.388 \(\int (2 a+2 b \cos (d+e x)-2 a \sin (d+e x))^3 \, dx\)
 3.389 \(\int (2 a+2 b \cos (d+e x)-2 a \sin (d+e x))^2 \, dx\)
 3.390 \(\int (2 a+2 b \cos (d+e x)-2 a \sin (d+e x)) \, dx\)
 3.391 \(\int \frac{1}{2 a+2 b \cos (d+e x)-2 a \sin (d+e x)} \, dx\)
 3.392 \(\int \frac{1}{(2 a+2 b \cos (d+e x)-2 a \sin (d+e x))^2} \, dx\)
 3.393 \(\int \frac{1}{(2 a+2 b \cos (d+e x)-2 a \sin (d+e x))^3} \, dx\)
 3.394 \(\int \frac{1}{(2 a+2 b \cos (d+e x)-2 a \sin (d+e x))^4} \, dx\)
 3.395 \(\int (a+b \cos (d+e x)+c \sin (d+e x))^4 \, dx\)
 3.396 \(\int (a+b \cos (d+e x)+c \sin (d+e x))^3 \, dx\)
 3.397 \(\int (a+b \cos (d+e x)+c \sin (d+e x))^2 \, dx\)
 3.398 \(\int (a+b \cos (d+e x)+c \sin (d+e x)) \, dx\)
 3.399 \(\int \frac{1}{a+b \cos (d+e x)+c \sin (d+e x)} \, dx\)
 3.400 \(\int \frac{1}{(a+b \cos (d+e x)+c \sin (d+e x))^2} \, dx\)
 3.401 \(\int \frac{1}{(a+b \cos (d+e x)+c \sin (d+e x))^3} \, dx\)
 3.402 \(\int \frac{1}{(a+b \cos (d+e x)+c \sin (d+e x))^4} \, dx\)
 3.403 \(\int (2+3 \cos (d+e x)+5 \sin (d+e x))^{5/2} \, dx\)
 3.404 \(\int (2+3 \cos (d+e x)+5 \sin (d+e x))^{3/2} \, dx\)
 3.405 \(\int \sqrt{2+3 \cos (d+e x)+5 \sin (d+e x)} \, dx\)
 3.406 \(\int \frac{1}{\sqrt{2+3 \cos (d+e x)+5 \sin (d+e x)}} \, dx\)
 3.407 \(\int \frac{1}{(2+3 \cos (d+e x)+5 \sin (d+e x))^{3/2}} \, dx\)
 3.408 \(\int \frac{1}{(2+3 \cos (d+e x)+5 \sin (d+e x))^{5/2}} \, dx\)
 3.409 \(\int \frac{1}{(2+3 \cos (d+e x)+5 \sin (d+e x))^{7/2}} \, dx\)
 3.410 \(\int (a+b \cos (d+e x)+c \sin (d+e x))^{5/2} \, dx\)
 3.411 \(\int (a+b \cos (d+e x)+c \sin (d+e x))^{3/2} \, dx\)
 3.412 \(\int \sqrt{a+b \cos (d+e x)+c \sin (d+e x)} \, dx\)
 3.413 \(\int \frac{1}{\sqrt{a+b \cos (d+e x)+c \sin (d+e x)}} \, dx\)
 3.414 \(\int \frac{1}{(a+b \cos (d+e x)+c \sin (d+e x))^{3/2}} \, dx\)
 3.415 \(\int \frac{1}{(a+b \cos (d+e x)+c \sin (d+e x))^{5/2}} \, dx\)
 3.416 \(\int \frac{1}{(a+b \cos (d+e x)+c \sin (d+e x))^{7/2}} \, dx\)
 3.417 \(\int (5+4 \cos (d+e x)+3 \sin (d+e x))^{5/2} \, dx\)
 3.418 \(\int (5+4 \cos (d+e x)+3 \sin (d+e x))^{3/2} \, dx\)
 3.419 \(\int \sqrt{5+4 \cos (d+e x)+3 \sin (d+e x)} \, dx\)
 3.420 \(\int \frac{1}{\sqrt{5+4 \cos (d+e x)+3 \sin (d+e x)}} \, dx\)
 3.421 \(\int \frac{1}{(5+4 \cos (d+e x)+3 \sin (d+e x))^{3/2}} \, dx\)
 3.422 \(\int \frac{1}{(5+4 \cos (d+e x)+3 \sin (d+e x))^{5/2}} \, dx\)
 3.423 \(\int (-5+4 \cos (d+e x)+3 \sin (d+e x))^{7/2} \, dx\)
 3.424 \(\int (-5+4 \cos (d+e x)+3 \sin (d+e x))^{5/2} \, dx\)
 3.425 \(\int (-5+4 \cos (d+e x)+3 \sin (d+e x))^{3/2} \, dx\)
 3.426 \(\int \sqrt{-5+4 \cos (d+e x)+3 \sin (d+e x)} \, dx\)
 3.427 \(\int \frac{1}{\sqrt{-5+4 \cos (d+e x)+3 \sin (d+e x)}} \, dx\)
 3.428 \(\int \frac{1}{(-5+4 \cos (d+e x)+3 \sin (d+e x))^{3/2}} \, dx\)
 3.429 \(\int \frac{1}{(-5+4 \cos (d+e x)+3 \sin (d+e x))^{5/2}} \, dx\)
 3.430 \(\int (\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^{7/2} \, dx\)
 3.431 \(\int (\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^{5/2} \, dx\)
 3.432 \(\int (\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^{3/2} \, dx\)
 3.433 \(\int \sqrt{\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)} \, dx\)
 3.434 \(\int \frac{1}{\sqrt{\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)}} \, dx\)
 3.435 \(\int \frac{1}{(\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^{3/2}} \, dx\)
 3.436 \(\int \frac{1}{(\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^{5/2}} \, dx\)
 3.437 \(\int (-\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^{5/2} \, dx\)
 3.438 \(\int (-\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^{3/2} \, dx\)
 3.439 \(\int \sqrt{-\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)} \, dx\)
 3.440 \(\int \frac{1}{\sqrt{-\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)}} \, dx\)
 3.441 \(\int \frac{1}{(-\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^{3/2}} \, dx\)
 3.442 \(\int \frac{1}{(-\sqrt{b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^{5/2}} \, dx\)
 3.443 \(\int \frac{\sin (x)}{a+b \cos (x)+c \sin (x)} \, dx\)
 3.444 \(\int \frac{\sin (x)}{1+\cos (x)+\sin (x)} \, dx\)
 3.445 \(\int \frac{1}{a+c \sec (x)+b \tan (x)} \, dx\)
 3.446 \(\int \frac{\sec (x)}{a+c \sec (x)+b \tan (x)} \, dx\)
 3.447 \(\int \frac{\sec ^2(x)}{a+c \sec (x)+b \tan (x)} \, dx\)
 3.448 \(\int \frac{(a+b \sec (d+e x)+c \tan (d+e x))^{3/2}}{\sec ^{\frac{3}{2}}(d+e x)} \, dx\)
 3.449 \(\int \frac{\sqrt{a+b \sec (d+e x)+c \tan (d+e x)}}{\sqrt{\sec (d+e x)}} \, dx\)
 3.450 \(\int \frac{\sqrt{\sec (d+e x)}}{\sqrt{a+b \sec (d+e x)+c \tan (d+e x)}} \, dx\)
 3.451 \(\int \frac{\sec ^{\frac{3}{2}}(d+e x)}{(a+b \sec (d+e x)+c \tan (d+e x))^{3/2}} \, dx\)
 3.452 \(\int \frac{\sec ^{\frac{5}{2}}(d+e x)}{(a+b \sec (d+e x)+c \tan (d+e x))^{5/2}} \, dx\)
 3.453 \(\int \cos ^{\frac{3}{2}}(d+e x) (a+b \sec (d+e x)+c \tan (d+e x))^{3/2} \, dx\)
 3.454 \(\int \sqrt{\cos (d+e x)} \sqrt{a+b \sec (d+e x)+c \tan (d+e x)} \, dx\)
 3.455 \(\int \frac{1}{\sqrt{\cos (d+e x)} \sqrt{a+b \sec (d+e x)+c \tan (d+e x)}} \, dx\)
 3.456 \(\int \frac{1}{\cos ^{\frac{3}{2}}(d+e x) (a+b \sec (d+e x)+c \tan (d+e x))^{3/2}} \, dx\)
 3.457 \(\int \frac{1}{\cos ^{\frac{5}{2}}(d+e x) (a+b \sec (d+e x)+c \tan (d+e x))^{5/2}} \, dx\)
 3.458 \(\int \frac{1}{a+b \cot (x)+c \csc (x)} \, dx\)
 3.459 \(\int \frac{\csc (x)}{a+b \cot (x)+c \csc (x)} \, dx\)
 3.460 \(\int \frac{\csc ^2(x)}{a+b \cot (x)+c \csc (x)} \, dx\)
 3.461 \(\int \frac{\csc (x)}{2+2 \cot (x)+3 \csc (x)} \, dx\)
 3.462 \(\int \frac{(a+c \cot (d+e x)+b \csc (d+e x))^{3/2}}{\csc ^{\frac{3}{2}}(d+e x)} \, dx\)
 3.463 \(\int \frac{\sqrt{a+c \cot (d+e x)+b \csc (d+e x)}}{\sqrt{\csc (d+e x)}} \, dx\)
 3.464 \(\int \frac{\sqrt{\csc (d+e x)}}{\sqrt{a+c \cot (d+e x)+b \csc (d+e x)}} \, dx\)
 3.465 \(\int \frac{\csc ^{\frac{3}{2}}(d+e x)}{(a+c \cot (d+e x)+b \csc (d+e x))^{3/2}} \, dx\)
 3.466 \(\int \frac{\csc ^{\frac{5}{2}}(d+e x)}{(a+c \cot (d+e x)+b \csc (d+e x))^{5/2}} \, dx\)
 3.467 \(\int (a+c \cot (d+e x)+b \csc (d+e x))^{3/2} \sin ^{\frac{3}{2}}(d+e x) \, dx\)
 3.468 \(\int \sqrt{a+c \cot (d+e x)+b \csc (d+e x)} \sqrt{\sin (d+e x)} \, dx\)
 3.469 \(\int \frac{1}{\sqrt{a+c \cot (d+e x)+b \csc (d+e x)} \sqrt{\sin (d+e x)}} \, dx\)
 3.470 \(\int \frac{1}{(a+c \cot (d+e x)+b \csc (d+e x))^{3/2} \sin ^{\frac{3}{2}}(d+e x)} \, dx\)
 3.471 \(\int \frac{1}{(a+c \cot (d+e x)+b \csc (d+e x))^{5/2} \sin ^{\frac{5}{2}}(d+e x)} \, dx\)
 3.472 \(\int \frac{1}{\cos ^2(x)+\sin ^2(x)} \, dx\)
 3.473 \(\int \frac{1}{(\cos ^2(x)+\sin ^2(x))^2} \, dx\)
 3.474 \(\int \frac{1}{(\cos ^2(x)+\sin ^2(x))^3} \, dx\)
 3.475 \(\int \frac{1}{\cos ^2(x)-\sin ^2(x)} \, dx\)
 3.476 \(\int \frac{1}{(\cos ^2(x)-\sin ^2(x))^2} \, dx\)
 3.477 \(\int \frac{1}{(\cos ^2(x)-\sin ^2(x))^3} \, dx\)
 3.478 \(\int \frac{1}{\cos ^2(x)+a^2 \sin ^2(x)} \, dx\)
 3.479 \(\int \frac{1}{b^2 \cos ^2(x)+\sin ^2(x)} \, dx\)
 3.480 \(\int \frac{1}{b^2 \cos ^2(x)+a^2 \sin ^2(x)} \, dx\)
 3.481 \(\int \frac{1}{4 \cos ^2(1+2 x)+3 \sin ^2(1+2 x)} \, dx\)
 3.482 \(\int \frac{\sin ^2(x)}{a \cos ^2(x)+b \sin ^2(x)} \, dx\)
 3.483 \(\int \frac{\cos ^2(x)}{a \cos ^2(x)+b \sin ^2(x)} \, dx\)
 3.484 \(\int \frac{1}{\sec ^2(x)+\tan ^2(x)} \, dx\)
 3.485 \(\int \frac{1}{(\sec ^2(x)+\tan ^2(x))^2} \, dx\)
 3.486 \(\int \frac{1}{(\sec ^2(x)+\tan ^2(x))^3} \, dx\)
 3.487 \(\int \frac{1}{\sec ^2(x)-\tan ^2(x)} \, dx\)
 3.488 \(\int \frac{1}{(\sec ^2(x)-\tan ^2(x))^2} \, dx\)
 3.489 \(\int \frac{1}{(\sec ^2(x)-\tan ^2(x))^3} \, dx\)
 3.490 \(\int \frac{1}{\cot ^2(x)+\csc ^2(x)} \, dx\)
 3.491 \(\int \frac{1}{(\cot ^2(x)+\csc ^2(x))^2} \, dx\)
 3.492 \(\int \frac{1}{(\cot ^2(x)+\csc ^2(x))^3} \, dx\)
 3.493 \(\int \frac{1}{\cot ^2(x)-\csc ^2(x)} \, dx\)
 3.494 \(\int \frac{1}{(\cot ^2(x)-\csc ^2(x))^2} \, dx\)
 3.495 \(\int \frac{1}{(\cot ^2(x)-\csc ^2(x))^3} \, dx\)
 3.496 \(\int \frac{1}{a+b \cos ^2(x)+c \sin ^2(x)} \, dx\)
 3.497 \(\int \frac{x}{a+b \cos ^2(x)+c \sin ^2(x)} \, dx\)
 3.498 \(\int \frac{x^2}{a+b \cos ^2(x)+c \sin ^2(x)} \, dx\)
 3.499 \(\int (a+b \sin (d+e x)) (b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x))^2 \, dx\)
 3.500 \(\int (a+b \sin (d+e x)) (b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x)) \, dx\)
 3.501 \(\int \frac{a+b \sin (d+e x)}{b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x)} \, dx\)
 3.502 \(\int \frac{a+b \sin (d+e x)}{(b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x))^2} \, dx\)
 3.503 \(\int \frac{d+e \sin (x)}{a+b \sin (x)+c \sin ^2(x)} \, dx\)
 3.504 \(\int (a+b \sin (d+e x)) (b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x))^{3/2} \, dx\)
 3.505 \(\int (a+b \sin (d+e x)) \sqrt{b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x)} \, dx\)
 3.506 \(\int \frac{a+b \sin (d+e x)}{\sqrt{b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x)}} \, dx\)
 3.507 \(\int \frac{a+b \sin (d+e x)}{(b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x))^{3/2}} \, dx\)
 3.508 \(\int \frac{a+b \cos (x)}{b^2+2 a b \cos (x)+a^2 \cos ^2(x)} \, dx\)
 3.509 \(\int \frac{d+e \cos (x)}{a+b \cos (x)+c \cos ^2(x)} \, dx\)
 3.510 \(\int (a+b \tan (d+e x)) (b^2+2 a b \tan (d+e x)+a^2 \tan ^2(d+e x))^2 \, dx\)
 3.511 \(\int (a+b \tan (d+e x)) (b^2+2 a b \tan (d+e x)+a^2 \tan ^2(d+e x)) \, dx\)
 3.512 \(\int \frac{a+b \tan (d+e x)}{b^2+2 a b \tan (d+e x)+a^2 \tan ^2(d+e x)} \, dx\)
 3.513 \(\int \frac{a+b \tan (d+e x)}{(b^2+2 a b \tan (d+e x)+a^2 \tan ^2(d+e x))^2} \, dx\)
 3.514 \(\int (a+b \tan (d+e x)) (b^2+2 a b \tan (d+e x)+a^2 \tan ^2(d+e x))^{3/2} \, dx\)
 3.515 \(\int (a+b \tan (d+e x)) \sqrt{b^2+2 a b \tan (d+e x)+a^2 \tan ^2(d+e x)} \, dx\)
 3.516 \(\int \frac{a+b \tan (d+e x)}{\sqrt{b^2+2 a b \tan (d+e x)+a^2 \tan ^2(d+e x)}} \, dx\)
 3.517 \(\int \frac{a+b \tan (d+e x)}{(b^2+2 a b \tan (d+e x)+a^2 \tan ^2(d+e x))^{3/2}} \, dx\)
 3.518 \(\int (a+b \sec (d+e x)) (b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x))^2 \, dx\)
 3.519 \(\int (a+b \sec (d+e x)) (b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x)) \, dx\)
 3.520 \(\int \frac{a+b \sec (d+e x)}{b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x)} \, dx\)
 3.521 \(\int \frac{a+b \sec (d+e x)}{(b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x))^2} \, dx\)
 3.522 \(\int (a+b \sec (d+e x)) (b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x))^{3/2} \, dx\)
 3.523 \(\int (a+b \sec (d+e x)) \sqrt{b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x)} \, dx\)
 3.524 \(\int \frac{a+b \sec (d+e x)}{\sqrt{b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x)}} \, dx\)
 3.525 \(\int \frac{a+b \sec (d+e x)}{(b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x))^{3/2}} \, dx\)
 3.526 \(\int \frac{\cos (x)-i \sin (x)}{\cos (x)+i \sin (x)} \, dx\)
 3.527 \(\int \frac{\cos (x)+i \sin (x)}{\cos (x)-i \sin (x)} \, dx\)
 3.528 \(\int \frac{\cos (x)-\sin (x)}{\cos (x)+\sin (x)} \, dx\)
 3.529 \(\int \frac{B \cos (x)+C \sin (x)}{b \cos (x)+c \sin (x)} \, dx\)
 3.530 \(\int \frac{B \cos (x)+C \sin (x)}{(b \cos (x)+c \sin (x))^2} \, dx\)
 3.531 \(\int \frac{B \cos (x)+C \sin (x)}{(b \cos (x)+c \sin (x))^3} \, dx\)
 3.532 \(\int \frac{A+B \cos (x)+C \sin (x)}{b \cos (x)+c \sin (x)} \, dx\)
 3.533 \(\int \frac{A+B \cos (x)+C \sin (x)}{(b \cos (x)+c \sin (x))^2} \, dx\)
 3.534 \(\int \frac{A+B \cos (x)+C \sin (x)}{(b \cos (x)+c \sin (x))^3} \, dx\)
 3.535 \(\int \frac{A+B \cos (x)}{a+b \cos (x)+c \sin (x)} \, dx\)
 3.536 \(\int \frac{A+B \cos (x)}{(a+b \cos (x)+c \sin (x))^2} \, dx\)
 3.537 \(\int \frac{A+B \cos (x)}{(a+b \cos (x)+c \sin (x))^3} \, dx\)
 3.538 \(\int \frac{A+B \cos (x)}{a+b \cos (x)+i b \sin (x)} \, dx\)
 3.539 \(\int \frac{A+B \cos (x)}{a+b \cos (x)-i b \sin (x)} \, dx\)
 3.540 \(\int \frac{A+C \sin (x)}{a+b \cos (x)+c \sin (x)} \, dx\)
 3.541 \(\int \frac{A+C \sin (x)}{(a+b \cos (x)+c \sin (x))^2} \, dx\)
 3.542 \(\int \frac{A+C \sin (x)}{(a+b \cos (x)+c \sin (x))^3} \, dx\)
 3.543 \(\int \frac{A+C \sin (x)}{a+b \cos (x)+i b \sin (x)} \, dx\)
 3.544 \(\int \frac{A+C \sin (x)}{a+b \cos (x)-i b \sin (x)} \, dx\)
 3.545 \(\int \frac{B \cos (x)+C \sin (x)}{a+b \cos (x)+c \sin (x)} \, dx\)
 3.546 \(\int \frac{B \cos (x)+C \sin (x)}{(a+b \cos (x)+c \sin (x))^2} \, dx\)
 3.547 \(\int \frac{B \cos (x)+C \sin (x)}{(a+b \cos (x)+c \sin (x))^3} \, dx\)
 3.548 \(\int \frac{B \cos (x)+C \sin (x)}{a+b \cos (x)+i b \sin (x)} \, dx\)
 3.549 \(\int \frac{B \cos (x)+C \sin (x)}{a+b \cos (x)-i b \sin (x)} \, dx\)
 3.550 \(\int \frac{A+B \cos (x)+C \sin (x)}{a+b \cos (x)+c \sin (x)} \, dx\)
 3.551 \(\int \frac{A+B \cos (x)+C \sin (x)}{(a+b \cos (x)+c \sin (x))^2} \, dx\)
 3.552 \(\int \frac{A+B \cos (x)+C \sin (x)}{(a+b \cos (x)+c \sin (x))^3} \, dx\)
 3.553 \(\int \frac{A+B \cos (x)+C \sin (x)}{a+b \cos (x)+i b \sin (x)} \, dx\)
 3.554 \(\int \frac{A+B \cos (x)+C \sin (x)}{a+b \cos (x)-i b \sin (x)} \, dx\)
 3.555 \(\int \frac{b^2+c^2+a b \cos (x)+a c \sin (x)}{(a+b \cos (x)+c \sin (x))^2} \, dx\)
 3.556 \(\int (a+b \cos (x)+c \sin (x))^{5/2} (d+b e \cos (x)+c e \sin (x)) \, dx\)
 3.557 \(\int (a+b \cos (x)+c \sin (x))^{3/2} (d+b e \cos (x)+c e \sin (x)) \, dx\)
 3.558 \(\int \sqrt{a+b \cos (x)+c \sin (x)} (d+b e \cos (x)+c e \sin (x)) \, dx\)
 3.559 \(\int \frac{d+b e \cos (x)+c e \sin (x)}{\sqrt{a+b \cos (x)+c \sin (x)}} \, dx\)
 3.560 \(\int \frac{d+b e \cos (x)+c e \sin (x)}{(a+b \cos (x)+c \sin (x))^{3/2}} \, dx\)
 3.561 \(\int \frac{d+b e \cos (x)+c e \sin (x)}{(a+b \cos (x)+c \sin (x))^{5/2}} \, dx\)
 3.562 \(\int \frac{A+B \cos (d+e x)+C \sin (d+e x)}{a+c \sin (d+e x)} \, dx\)
 3.563 \(\int \frac{A+B \cos (d+e x)+C \sin (d+e x)}{(a+c \sin (d+e x))^2} \, dx\)
 3.564 \(\int \frac{A+B \cos (d+e x)+C \sin (d+e x)}{(a+c \sin (d+e x))^3} \, dx\)
 3.565 \(\int \frac{A+B \cos (d+e x)+C \sin (d+e x)}{(a+c \sin (d+e x))^4} \, dx\)
 3.566 \(\int (a+b \cos (c+d x) \sin (c+d x))^m \, dx\)
 3.567 \(\int (a+b \cos (c+d x) \sin (c+d x))^3 \, dx\)
 3.568 \(\int (a+b \cos (c+d x) \sin (c+d x))^2 \, dx\)
 3.569 \(\int (a+b \cos (c+d x) \sin (c+d x)) \, dx\)
 3.570 \(\int \frac{1}{a+b \cos (c+d x) \sin (c+d x)} \, dx\)
 3.571 \(\int \frac{1}{(a+b \cos (c+d x) \sin (c+d x))^2} \, dx\)
 3.572 \(\int \frac{1}{(a+b \cos (c+d x) \sin (c+d x))^3} \, dx\)
 3.573 \(\int (a+b \cos (c+d x) \sin (c+d x))^{5/2} \, dx\)
 3.574 \(\int (a+b \cos (c+d x) \sin (c+d x))^{3/2} \, dx\)
 3.575 \(\int \sqrt{a+b \cos (c+d x) \sin (c+d x)} \, dx\)
 3.576 \(\int \frac{1}{\sqrt{a+b \cos (c+d x) \sin (c+d x)}} \, dx\)
 3.577 \(\int \frac{1}{(a+b \cos (c+d x) \sin (c+d x))^{3/2}} \, dx\)
 3.578 \(\int \frac{1}{(a+b \cos (c+d x) \sin (c+d x))^{5/2}} \, dx\)
 3.579 \(\int \frac{x^3}{a+b \cos (x) \sin (x)} \, dx\)
 3.580 \(\int \frac{x^2}{a+b \cos (x) \sin (x)} \, dx\)
 3.581 \(\int \frac{x}{a+b \cos (x) \sin (x)} \, dx\)
 3.582 \(\int \frac{1}{x (a+b \cos (x) \sin (x))} \, dx\)
 3.583 \(\int \frac{(b x)^{2-n} \sin ^n(a x)}{(a c x \cos (a x)-c \sin (a x))^2} \, dx\)
 3.584 \(\int \frac{(b x)^{2-n} \cos ^n(a x)}{(c \cos (a x)+a c x \sin (a x))^2} \, dx\)
 3.585 \(\int \frac{\sin ^6(a x)}{x^4 (a x \cos (a x)-\sin (a x))^2} \, dx\)
 3.586 \(\int \frac{\sin ^5(a x)}{x^3 (a x \cos (a x)-\sin (a x))^2} \, dx\)
 3.587 \(\int \frac{\sin ^4(a x)}{x^2 (a x \cos (a x)-\sin (a x))^2} \, dx\)
 3.588 \(\int \frac{\sin ^3(a x)}{x (a x \cos (a x)-\sin (a x))^2} \, dx\)
 3.589 \(\int \frac{\sin ^2(a x)}{(a x \cos (a x)-\sin (a x))^2} \, dx\)
 3.590 \(\int \frac{x \sin (a x)}{(a x \cos (a x)-\sin (a x))^2} \, dx\)
 3.591 \(\int \frac{x^2}{(a x \cos (a x)-\sin (a x))^2} \, dx\)
 3.592 \(\int \frac{x^3 \csc (a x)}{(a x \cos (a x)-\sin (a x))^2} \, dx\)
 3.593 \(\int \frac{x^4 \csc ^2(a x)}{(a x \cos (a x)-\sin (a x))^2} \, dx\)
 3.594 \(\int \frac{\cos ^6(a x)}{x^4 (\cos (a x)+a x \sin (a x))^2} \, dx\)
 3.595 \(\int \frac{\cos ^5(a x)}{x^3 (\cos (a x)+a x \sin (a x))^2} \, dx\)
 3.596 \(\int \frac{\cos ^4(a x)}{x^2 (\cos (a x)+a x \sin (a x))^2} \, dx\)
 3.597 \(\int \frac{\cos ^3(a x)}{x (\cos (a x)+a x \sin (a x))^2} \, dx\)
 3.598 \(\int \frac{\cos ^2(a x)}{(\cos (a x)+a x \sin (a x))^2} \, dx\)
 3.599 \(\int \frac{x \cos (a x)}{(\cos (a x)+a x \sin (a x))^2} \, dx\)
 3.600 \(\int \frac{x^2}{(\cos (a x)+a x \sin (a x))^2} \, dx\)
 3.601 \(\int \frac{x^3 \sec (a x)}{(\cos (a x)+a x \sin (a x))^2} \, dx\)
 3.602 \(\int \frac{x^4 \sec ^2(a x)}{(\cos (a x)+a x \sin (a x))^2} \, dx\)
 3.603 \(\int \sec ^4(2 (a+b x)) \sqrt{c \tan (a+b x) \tan (2 (a+b x))} \, dx\)
 3.604 \(\int \sec ^3(2 (a+b x)) \sqrt{c \tan (a+b x) \tan (2 (a+b x))} \, dx\)
 3.605 \(\int \sec ^2(2 (a+b x)) \sqrt{c \tan (a+b x) \tan (2 (a+b x))} \, dx\)
 3.606 \(\int \sec (2 (a+b x)) \sqrt{c \tan (a+b x) \tan (2 (a+b x))} \, dx\)
 3.607 \(\int \sqrt{c \tan (a+b x) \tan (2 (a+b x))} \, dx\)
 3.608 \(\int \cos (2 (a+b x)) \sqrt{c \tan (a+b x) \tan (2 (a+b x))} \, dx\)
 3.609 \(\int \cos ^2(2 (a+b x)) \sqrt{c \tan (a+b x) \tan (2 (a+b x))} \, dx\)
 3.610 \(\int \cos ^3(2 (a+b x)) \sqrt{c \tan (a+b x) \tan (2 (a+b x))} \, dx\)
 3.611 \(\int \sec ^4(2 (a+b x)) (c \tan (a+b x) \tan (2 (a+b x)))^{3/2} \, dx\)
 3.612 \(\int \sec ^3(2 (a+b x)) (c \tan (a+b x) \tan (2 (a+b x)))^{3/2} \, dx\)
 3.613 \(\int \sec ^2(2 (a+b x)) (c \tan (a+b x) \tan (2 (a+b x)))^{3/2} \, dx\)
 3.614 \(\int \sec (2 (a+b x)) (c \tan (a+b x) \tan (2 (a+b x)))^{3/2} \, dx\)
 3.615 \(\int (c \tan (a+b x) \tan (2 (a+b x)))^{3/2} \, dx\)
 3.616 \(\int \cos (2 (a+b x)) (c \tan (a+b x) \tan (2 (a+b x)))^{3/2} \, dx\)
 3.617 \(\int \cos ^2(2 (a+b x)) (c \tan (a+b x) \tan (2 (a+b x)))^{3/2} \, dx\)
 3.618 \(\int \cos ^3(2 (a+b x)) (c \tan (a+b x) \tan (2 (a+b x)))^{3/2} \, dx\)
 3.619 \(\int \frac{\sec ^4(2 (a+b x))}{\sqrt{c \tan (a+b x) \tan (2 (a+b x))}} \, dx\)
 3.620 \(\int \frac{\sec ^3(2 (a+b x))}{\sqrt{c \tan (a+b x) \tan (2 (a+b x))}} \, dx\)
 3.621 \(\int \frac{\sec ^2(2 (a+b x))}{\sqrt{c \tan (a+b x) \tan (2 (a+b x))}} \, dx\)
 3.622 \(\int \frac{\sec (2 (a+b x))}{\sqrt{c \tan (a+b x) \tan (2 (a+b x))}} \, dx\)
 3.623 \(\int \frac{1}{\sqrt{c \tan (a+b x) \tan (2 (a+b x))}} \, dx\)
 3.624 \(\int \frac{\cos (2 (a+b x))}{\sqrt{c \tan (a+b x) \tan (2 (a+b x))}} \, dx\)
 3.625 \(\int \frac{\cos ^2(2 (a+b x))}{\sqrt{c \tan (a+b x) \tan (2 (a+b x))}} \, dx\)
 3.626 \(\int \frac{\sec ^4(2 (a+b x))}{(c \tan (a+b x) \tan (2 (a+b x)))^{3/2}} \, dx\)
 3.627 \(\int \frac{\sec ^3(2 (a+b x))}{(c \tan (a+b x) \tan (2 (a+b x)))^{3/2}} \, dx\)
 3.628 \(\int \frac{\sec ^2(2 (a+b x))}{(c \tan (a+b x) \tan (2 (a+b x)))^{3/2}} \, dx\)
 3.629 \(\int \frac{\sec (2 (a+b x))}{(c \tan (a+b x) \tan (2 (a+b x)))^{3/2}} \, dx\)
 3.630 \(\int \frac{1}{(c \tan (a+b x) \tan (2 (a+b x)))^{3/2}} \, dx\)
 3.631 \(\int \frac{\cos (2 (a+b x))}{(c \tan (a+b x) \tan (2 (a+b x)))^{3/2}} \, dx\)
 3.632 \(\int \frac{\cos ^2(2 (a+b x))}{(c \tan (a+b x) \tan (2 (a+b x)))^{3/2}} \, dx\)
 3.633 \(\int \frac{\cot (x) \csc (x)}{\sqrt{\sin (2 x)}} \, dx\)
 3.634 \(\int \frac{\csc ^2(x) \sec (x)}{\sqrt{\sin (2 x)} (-2+\tan (x))} \, dx\)
 3.635 \(\int \frac{\cos ^2(x) \sin (x)}{(\sin ^2(x)-\sin (2 x)) \sin ^{\frac{5}{2}}(2 x)} \, dx\)
 3.636 \(\int \frac{\cos ^3(x) \cos (2 x)}{(\sin ^2(x)-\sin (2 x)) \sin ^{\frac{5}{2}}(2 x)} \, dx\)
 3.637 \(\int (b \sec (c+d x)+a \sin (c+d x))^n (a \cos (c+d x)+b \sec (c+d x) \tan (c+d x)) \, dx\)
 3.638 \(\int (b \sec (c+d x)+a \sin (c+d x))^3 (a \cos (c+d x)+b \sec (c+d x) \tan (c+d x)) \, dx\)
 3.639 \(\int (b \sec (c+d x)+a \sin (c+d x))^2 (a \cos (c+d x)+b \sec (c+d x) \tan (c+d x)) \, dx\)
 3.640 \(\int (b \sec (c+d x)+a \sin (c+d x)) (a \cos (c+d x)+b \sec (c+d x) \tan (c+d x)) \, dx\)
 3.641 \(\int \frac{a \cos (c+d x)+b \sec (c+d x) \tan (c+d x)}{b \sec (c+d x)+a \sin (c+d x)} \, dx\)
 3.642 \(\int \frac{a \cos (c+d x)+b \sec (c+d x) \tan (c+d x)}{(b \sec (c+d x)+a \sin (c+d x))^2} \, dx\)
 3.643 \(\int \frac{a \cos (c+d x)+b \sec (c+d x) \tan (c+d x)}{(b \sec (c+d x)+a \sin (c+d x))^3} \, dx\)
 3.644 \(\int F(c,d,\cos (a+b x),r,s) \sin (a+b x) \, dx\)
 3.645 \(\int \cos (a+b x) F(c,d,\sin (a+b x),r,s) \, dx\)
 3.646 \(\int F(c,d,\tan (a+b x),r,s) \sec ^2(a+b x) \, dx\)
 3.647 \(\int \csc ^2(a+b x) F(c,d,\cot (a+b x),r,s) \, dx\)
 3.648 \(\int \frac{\sin (x)}{a+b \cos (x)} \, dx\)
 3.649 \(\int (a+b \cos (x))^n \sin (x) \, dx\)
 3.650 \(\int \frac{\sin (x)}{\sqrt{1+\cos ^2(x)}} \, dx\)
 3.651 \(\int \cos (\cos (x)) \sin (x) \, dx\)
 3.652 \(\int \cos (x) \cos (\cos (x)) \sin (x) \sin (\cos (x)) \, dx\)
 3.653 \(\int \cos (\cos (x)) \sin (x) \sin ^2(6 \cos (x)) \, dx\)
 3.654 \(\int \cos ^3(x) (a+b \cos ^2(x))^3 \sin (x) \, dx\)
 3.655 \(\int \sin (3 x) \sin (\cos (3 x)) \, dx\)
 3.656 \(\int e^{\cos (1+3 x)} \cos (1+3 x) \sin (1+3 x) \, dx\)
 3.657 \(\int \frac{\cos ^2(x) \sin (x)}{\sqrt{1-\cos ^6(x)}} \, dx\)
 3.658 \(\int \frac{\sin ^5(x)}{\sqrt{1-5 \cos (x)}} \, dx\)
 3.659 \(\int e^{n \cos (a+b x)} \sin (a+b x) \, dx\)
 3.660 \(\int e^{n \cos (a c+b c x)} \sin (c (a+b x)) \, dx\)
 3.661 \(\int e^{n \cos (c (a+b x))} \sin (a c+b c x) \, dx\)
 3.662 \(\int e^{n \cos (a+b x)} \tan (a+b x) \, dx\)
 3.663 \(\int e^{n \cos (a c+b c x)} \tan (c (a+b x)) \, dx\)
 3.664 \(\int e^{n \cos (c (a+b x))} \tan (a c+b c x) \, dx\)
 3.665 \(\int \frac{\cos (x)}{a+b \sin (x)} \, dx\)
 3.666 \(\int \cos (x) (a+b \sin (x))^n \, dx\)
 3.667 \(\int \frac{\cos (x)}{\sqrt{1+\sin ^2(x)}} \, dx\)
 3.668 \(\int \frac{\cos (x)}{\sqrt{4-\sin ^2(x)}} \, dx\)
 3.669 \(\int \frac{\cos (3 x)}{\sqrt{4-\sin ^2(3 x)}} \, dx\)
 3.670 \(\int \cos (x) \sqrt{1+\csc (x)} \, dx\)
 3.671 \(\int \cos (x) \sqrt{4-\sin ^2(x)} \, dx\)
 3.672 \(\int \cos (x) \sin (x) \sqrt{1+\sin ^2(x)} \, dx\)
 3.673 \(\int \frac{\cos (x)}{\sqrt{2 \sin (x)+\sin ^2(x)}} \, dx\)
 3.674 \(\int \cos (x) \cos (\sin (x)) \, dx\)
 3.675 \(\int \cos (x) \cos (\sin (x)) \cos (\sin (\sin (x))) \, dx\)
 3.676 \(\int \cos (x) \sec (\sin (x)) \, dx\)
 3.677 \(\int \cos (x) \sin ^3(x) (a+b \sin ^2(x))^3 \, dx\)
 3.678 \(\int e^{\sin (x)} \cos (x) \sin (x) \, dx\)
 3.679 \(\int \frac{\cos ^3(x)}{\sqrt{\sin ^3(x)}} \, dx\)
 3.680 \(\int \frac{e^{\sqrt{\sin (x)}} \cos (x)}{\sqrt{\sin (x)}} \, dx\)
 3.681 \(\int e^{4+\sin (x)} \cos (x) \, dx\)
 3.682 \(\int e^{\cos (x) \sin (x)} \cos (2 x) \, dx\)
 3.683 \(\int e^{\cos (\frac{x}{2}) \sin (\frac{x}{2})} \cos (x) \, dx\)
 3.684 \(\int e^{n \sin (a+b x)} \cos (a+b x) \, dx\)
 3.685 \(\int e^{n \sin (a c+b c x)} \cos (c (a+b x)) \, dx\)
 3.686 \(\int e^{n \sin (c (a+b x))} \cos (a c+b c x) \, dx\)
 3.687 \(\int e^{n \sin (a+b x)} \cot (a+b x) \, dx\)
 3.688 \(\int e^{n \sin (a c+b c x)} \cot (c (a+b x)) \, dx\)
 3.689 \(\int e^{n \sin (c (a+b x))} \cot (a c+b c x) \, dx\)
 3.690 \(\int \frac{\sec ^2(x)}{a+b \tan (x)} \, dx\)
 3.691 \(\int \frac{\sec ^2(x)}{1-\tan ^2(x)} \, dx\)
 3.692 \(\int \frac{\sec ^2(x)}{9+\tan ^2(x)} \, dx\)
 3.693 \(\int \sec ^2(x) (a+b \tan (x))^n \, dx\)
 3.694 \(\int \sec ^2(x) (1+\frac{1}{1+\tan ^2(x)}) \, dx\)
 3.695 \(\int \frac{\sec ^2(x) (2+\tan ^2(x))}{1+\tan ^2(x)} \, dx\)
 3.696 \(\int \frac{\sec ^2(x)}{2+2 \tan (x)+\tan ^2(x)} \, dx\)
 3.697 \(\int \frac{\sec ^2(x)}{\tan ^2(x)+\tan ^3(x)} \, dx\)
 3.698 \(\int \frac{\sec ^2(x)}{-\tan ^2(x)+\tan ^3(x)} \, dx\)
 3.699 \(\int \frac{\sec ^2(x)}{3-4 \tan ^3(x)} \, dx\)
 3.700 \(\int \frac{\sec ^2(x)}{11-5 \tan (x)+5 \tan ^2(x)} \, dx\)
 3.701 \(\int \frac{\sec ^2(x) (a+b \tan (x))}{c+d \tan (x)} \, dx\)
 3.702 \(\int \frac{\sec ^2(x) (a+b \tan (x))^2}{c+d \tan (x)} \, dx\)
 3.703 \(\int \frac{\sec ^2(x) (a+b \tan (x))^3}{c+d \tan (x)} \, dx\)
 3.704 \(\int \frac{\sec ^2(x) \tan ^2(x)}{(2+\tan ^3(x))^2} \, dx\)
 3.705 \(\int \sec ^2(x) \tan ^6(x) (1+\tan ^2(x))^3 \, dx\)
 3.706 \(\int \frac{\sec ^2(x) (2+\tan ^2(x))}{1+\tan ^3(x)} \, dx\)
 3.707 \(\int (1+\cos ^2(x)) \sec ^2(x) \, dx\)
 3.708 \(\int \frac{\sec ^2(x)}{1+\sec ^2(x)-3 \tan (x)} \, dx\)
 3.709 \(\int \frac{\sec ^2(x)}{\sqrt{4-\sec ^2(x)}} \, dx\)
 3.710 \(\int \frac{\sec ^2(x)}{\sqrt{1-4 \tan ^2(x)}} \, dx\)
 3.711 \(\int \frac{\sec ^2(x)}{\sqrt{-4+\tan ^2(x)}} \, dx\)
 3.712 \(\int \sqrt{1-\cot ^2(x)} \sec ^2(x) \, dx\)
 3.713 \(\int \sec ^2(x) \sqrt{1-\tan ^2(x)} \, dx\)
 3.714 \(\int e^{\tan (x)} \sec ^2(x) \, dx\)
 3.715 \(\int \sec ^4(x) (-1+\sec ^2(x))^2 \tan (x) \, dx\)
 3.716 \(\int \frac{\csc ^2(x)}{a+b \cot (x)} \, dx\)
 3.717 \(\int (a+b \cot (x))^n \csc ^2(x) \, dx\)
 3.718 \(\int \csc ^2(x) (1+\sin ^2(x)) \, dx\)
 3.719 \(\int (1+\frac{1}{1+\cot ^2(x)}) \csc ^2(x) \, dx\)
 3.720 \(\int \frac{(a+b \cot (x)) \csc ^2(x)}{c+d \cot (x)} \, dx\)
 3.721 \(\int \frac{(a+b \cot (x))^2 \csc ^2(x)}{c+d \cot (x)} \, dx\)
 3.722 \(\int \frac{(a+b \cot (x))^3 \csc ^2(x)}{c+d \cot (x)} \, dx\)
 3.723 \(\int e^{-\cot (x)} \csc ^2(x) \, dx\)
 3.724 \(\int \frac{\sec (x) \tan (x)}{a+b \sec (x)} \, dx\)
 3.725 \(\int \frac{\sec (x) \tan (x)}{1+\sec ^2(x)} \, dx\)
 3.726 \(\int \frac{\sec (x) \tan (x)}{9+4 \sec ^2(x)} \, dx\)
 3.727 \(\int \frac{\sec (x) \tan (x)}{\sec (x)+\sec ^2(x)} \, dx\)
 3.728 \(\int \frac{\sec (x) \tan (x)}{\sqrt{4+\sec ^2(x)}} \, dx\)
 3.729 \(\int \frac{\sec (x) \tan (x)}{\sqrt{1+\cos ^2(x)}} \, dx\)
 3.730 \(\int e^{\sec (x)} \sec (x) \tan (x) \, dx\)
 3.731 \(\int 2^{\sec (x)} \sec (x) \tan (x) \, dx\)
 3.732 \(\int \frac{\sec (2 x) \tan (2 x)}{(1+\sec (2 x))^{3/2}} \, dx\)
 3.733 \(\int \sqrt{1+5 \cos ^2(3 x)} \sec (3 x) \tan (3 x) \, dx\)
 3.734 \(\int \frac{\sec (3 x) \tan (3 x)}{\sqrt{1+5 \cos ^2(3 x)}} \, dx\)
 3.735 \(\int \frac{\cot (x) \csc (x)}{a+b \csc (x)} \, dx\)
 3.736 \(\int 5^{\csc (3 x)} \cot (3 x) \csc (3 x) \, dx\)
 3.737 \(\int \frac{\cot (x) \csc (x)}{1+\csc ^2(x)} \, dx\)
 3.738 \(\int \frac{\cot (6 x) \csc (6 x)}{(5-11 \csc ^2(6 x))^2} \, dx\)
 3.739 \(\int \frac{\cot (x) \csc (x)}{\sqrt{1+\sin ^2(x)}} \, dx\)
 3.740 \(\int \frac{\cot (5 x) \csc ^3(5 x)}{\sqrt{1+\sin ^2(5 x)}} \, dx\)
 3.741 \(\int e^{n \sin (a+b x)} \sin (2 a+2 b x) \, dx\)
 3.742 \(\int e^{n \sin (a+b x)} \sin (2 (a+b x)) \, dx\)
 3.743 \(\int e^{n \sin (\frac{a}{2}+\frac{b x}{2})} \sin (a+b x) \, dx\)
 3.744 \(\int e^{n \sin (\frac{1}{2} (a+b x))} \sin (a+b x) \, dx\)
 3.745 \(\int e^{n \cos (a+b x)} \sin (2 a+2 b x) \, dx\)
 3.746 \(\int e^{n \cos (a+b x)} \sin (2 (a+b x)) \, dx\)
 3.747 \(\int e^{n \cos (\frac{a}{2}+\frac{b x}{2})} \sin (a+b x) \, dx\)
 3.748 \(\int e^{n \cos (\frac{1}{2} (a+b x))} \sin (a+b x) \, dx\)
 3.749 \(\int \csc (x) \log (\tan (x)) \sec (x) \, dx\)
 3.750 \(\int \csc (2 x) \log (\tan (x)) \, dx\)
 3.751 \(\int e^{\cos ^2(x)+\sin ^2(x)} \, dx\)
 3.752 \(\int x \sec ^2(x) \, dx\)
 3.753 \(\int x \cos ^4(x^2) \, dx\)
 3.754 \(\int \sqrt{\cos (x)} \sin (x) \, dx\)
 3.755 \(\int e^{-2 x} \tan (e^{-2 x}) \, dx\)
 3.756 \(\int \frac{\sec (x) \sin (2 x)}{1+\cos (x)} \, dx\)
 3.757 \(\int x \sec ^2(3 x) \, dx\)
 3.758 \(\int e^{-2 \pi x} \cos (2 \pi x) \, dx\)
 3.759 \(\int (\cos ^{12}(x) \sin ^{10}(x)-\cos ^{10}(x) \sin ^{12}(x)) \, dx\)
 3.760 \(\int x \cot (x^2) \, dx\)
 3.761 \(\int x \sec ^2(x^2) \, dx\)
 3.762 \(\int \frac{\sin (8 x)}{9+\sin ^4(4 x)} \, dx\)
 3.763 \(\int \frac{\cos (2 x)}{8+\sin ^2(2 x)} \, dx\)
 3.764 \(\int x (\cos ^3(x^2)-\sin ^3(x^2)) \, dx\)
 3.765 \(\int \frac{\cos (x) \sin (x)}{1-\cos (x)} \, dx\)
 3.766 \(\int x \cos (x^2) \, dx\)
 3.767 \(\int x^2 \cos (4 x^3) \, dx\)
 3.768 \(\int x^3 \cos (x^4) \, dx\)
 3.769 \(\int x \sin (\frac{x^2}{2}) \, dx\)
 3.770 \(\int x \sec (x^2) \tan (x^2) \, dx\)
 3.771 \(\int \frac{\tan ^2(\frac{1}{x})}{x^2} \, dx\)
 3.772 \(\int x \tan (1+x^2) \, dx\)
 3.773 \(\int \sin (\pi (1+2 x)) \, dx\)
 3.774 \(\int \frac{\cot (x)+\csc ^2(x)}{1-\cos ^2(x)} \, dx\)
 3.775 \(\int x^2 \cos (4 x^3) \cos (5 x^3) \, dx\)
 3.776 \(\int x^{14} \sin (x^3) \, dx\)
 3.777 \(\int e^{-3 x^3} x^2 \sin (2 x^3) \, dx\)
 3.778 \(\int 2 x \cos (x^2) \, dx\)
 3.779 \(\int 3 x^2 \cos (7+x^3) \, dx\)
 3.780 \(\int (\frac{1}{1+x^2}+\sin (x)) \, dx\)
 3.781 \(\int x \sin (1+x^2) \, dx\)
 3.782 \(\int x \cos (1+x^2) \, dx\)
 3.783 \(\int (1+x^2 \cos (x^3)) \, dx\)
 3.784 \(\int x^2 \sin (1+x^3) \, dx\)
 3.785 \(\int 12 x^2 \cos (x^3) \, dx\)
 3.786 \(\int (1+x) \sin (1+x) \, dx\)
 3.787 \(\int x^5 \cos (x^3) \, dx\)
 3.788 \(\int e^{-3 x} \cos (x) \, dx\)
 3.789 \(\int x^3 \sin (x^2) \, dx\)
 3.790 \(\int x^3 \cos (x^2) \, dx\)
 3.791 \(\int \cos (x) \cos (2 \sin (x)) \, dx\)
 3.792 \(\int \frac{\cos (x) \sin (x)}{1+\cos ^2(x)} \, dx\)
 3.793 \(\int (1+\cos (x)) (x+\sin (x))^3 \, dx\)
 3.794 \(\int (1+\cos (x)) \csc ^2(x) \, dx\)
 3.795 \(\int \sin (x) \tan ^2(x) \, dx\)
 3.796 \(\int e^{\sin (x)} \sec ^2(x) (x \cos ^3(x)-\sin (x)) \, dx\)
 3.797 \(\int x \csc ^2(x) \, dx\)
 3.798 \(\int \cos (x) \sin (\frac{\pi }{6}+x) \, dx\)
 3.799 \(\int x \sin ^3(x^2) \, dx\)
 3.800 \(\int \sin ^2(x) \tan (x) \, dx\)
 3.801 \(\int \cos ^2(x) \cot ^3(x) \, dx\)
 3.802 \(\int \sec (x) (1-\sin (x)) \, dx\)
 3.803 \(\int (1+\cos (x)) \csc (x) \, dx\)
 3.804 \(\int \cos ^2(x) (1-\tan ^2(x)) \, dx\)
 3.805 \(\int \csc (2 x) (\cos (x)+\sin (x)) \, dx\)
 3.806 \(\int \frac{\cos (x) (-3+2 \sin (x))}{2-3 \sin (x)+\sin ^2(x)} \, dx\)
 3.807 \(\int \frac{\cos ^2(x) \sin (x)}{5+\cos ^2(x)} \, dx\)
 3.808 \(\int \frac{\cos (x)}{\sin (x)+\sin ^2(x)} \, dx\)
 3.809 \(\int \frac{\cos (x)}{\sin (x)+\sin ^{\sqrt{2}}(x)} \, dx\)
 3.810 \(\int \frac{1}{2 \sin (x)+\sin (2 x)} \, dx\)
 3.811 \(\int (-3+4 x+x^2) \sin (2 x) \, dx\)
 3.812 \(\int e^{-3 x} \cos (4 x) \, dx\)
 3.813 \(\int \frac{\cos (x) \sin (x)}{\sqrt{1+\sin (x)}} \, dx\)
 3.814 \(\int (x+60 \cos ^5(x) \sin ^4(x)) \, dx\)
 3.815 \(\int \cos (x) (\sec (x)+\tan (x)) \, dx\)
 3.816 \(\int \cos (x) (\sec ^3(x)+\tan (x)) \, dx\)
 3.817 \(\int \frac{1}{2} (-\cot (x) \csc (x)+\csc ^2(x)) \, dx\)
 3.818 \(\int (-\csc ^2(x)+\sin (2 x)) \, dx\)
 3.819 \(\int (2 \cot (2 x)-3 \sin (3 x)) \, dx\)
 3.820 \(\int x \sin (2 x^2) \, dx\)
 3.821 \(\int -\cos (1-x) \sin (1-x) \sqrt{1+\sin ^2(1-x)} \, dx\)
 3.822 \(\int \frac{\cos (\frac{1}{x}) \sin (\frac{1}{x})}{x^2} \, dx\)
 3.823 \(\int \cos (\frac{1}{2} (1+3 x)) \sin ^3(\frac{1}{2} (1+3 x)) \, dx\)
 3.824 \(\int 4 x \tan (x^2) \, dx\)
 3.825 \(\int x \sec (5-x^2) \, dx\)
 3.826 \(\int \frac{\csc (\frac{1}{x})}{x^2} \, dx\)
 3.827 \(\int (\csc (x)-\sec (x)) (\cos (x)+\sin (x)) \, dx\)
 3.828 \(\int (-\cos (3 x) \sin (2 x)+\cos (2 x) \sin (3 x)) \, dx\)
 3.829 \(\int 4 x \sec ^2(2 x) \, dx\)
 3.830 \(\int 4 \sin ^2(x) \tan ^2(x) \, dx\)
 3.831 \(\int \cos ^4(x) \cot ^2(x) \, dx\)
 3.832 \(\int 16 \cos ^2(x) \sin ^2(x) \, dx\)
 3.833 \(\int 8 \cos ^2(x) \sin ^4(x) \, dx\)
 3.834 \(\int 35 \cos ^3(x) \sin ^4(x) \, dx\)
 3.835 \(\int 4 \cos ^4(x) \sin ^4(x) \, dx\)
 3.836 \(\int \frac{\cos (x)}{-\sin (x)+\sin ^3(x)} \, dx\)
 3.837 \(\int (-1+2 \cos ^2(x)+\cos (x) \sin (x)) \, dx\)
 3.838 \(\int (\cos ^2(x)+\sin ^2(x)) \, dx\)
 3.839 \(\int (-\cos ^2(x)+\sin ^2(x)) \, dx\)
 3.840 \(\int 2^{\sin (x)} \cos (x) \, dx\)
 3.841 \(\int (\tan ^3(x)+\tan ^5(x)) \, dx\)
 3.842 \(\int x \sec (x) (2+x \tan (x)) \, dx\)
 3.843 \(\int \frac{\cot (\sqrt{x}) \csc (\sqrt{x})}{\sqrt{x}} \, dx\)
 3.844 \(\int \frac{\cos (\sqrt{x}) \sin (\sqrt{x})}{\sqrt{x}} \, dx\)
 3.845 \(\int \frac{\sec (\sqrt{x}) \tan (\sqrt{x})}{\sqrt{x}} \, dx\)
 3.846 \(\int \frac{\sin ^2(x)}{a+b \sin (2 x)} \, dx\)
 3.847 \(\int \frac{\cos ^2(x)}{a+b \sin (2 x)} \, dx\)
 3.848 \(\int \frac{\sin ^2(x)}{a+b \cos (2 x)} \, dx\)
 3.849 \(\int \frac{\cos ^2(x)}{a+b \cos (2 x)} \, dx\)
 3.850 \(\int \frac{\tan (c+d x)}{\sqrt{a \sin ^2(c+d x)}} \, dx\)
 3.851 \(\int \frac{\cot (c+d x)}{\sqrt{a \cos ^2(c+d x)}} \, dx\)
 3.852 \(\int \frac{x \cos (x^2)}{\sqrt{\sin (x^2)}} \, dx\)
 3.853 \(\int \frac{\cos (x)}{\sqrt{1-\cos (2 x)}} \, dx\)
 3.854 \(\int \frac{\cos ^2(\log (x)) \sin ^2(\log (x))}{x} \, dx\)
 3.855 \(\int \frac{\sin ^3(x)}{\cos ^3(x)+\sin ^3(x)} \, dx\)
 3.856 \(\int \frac{\cos ^3(x)}{\cos ^3(x)+\sin ^3(x)} \, dx\)
 3.857 \(\int \frac{\sec (x)}{-5+\cos ^2(x)+4 \sin (x)} \, dx\)
 3.858 \(\int \frac{1}{\cos ^{\frac{3}{2}}(x) \sqrt{3 \cos (x)+\sin (x)}} \, dx\)
 3.859 \(\int \frac{\csc (x) \sqrt{\cos (x)+\sin (x)}}{\cos ^{\frac{3}{2}}(x)} \, dx\)
 3.860 \(\int \frac{\cos (x)+\sin (x)}{\sqrt{1+\sin (2 x)}} \, dx\)
 3.861 \(\int \sec (x) \sqrt{\sec (x)+\tan (x)} \, dx\)
 3.862 \(\int \sec (x) \sqrt{4+3 \sec (x)} \tan (x) \, dx\)
 3.863 \(\int \sec (x) \sqrt{1+\sec (x)} \tan ^3(x) \, dx\)
 3.864 \(\int \cot ^3(x) \csc (x) \sqrt{1+\csc (x)} \, dx\)
 3.865 \(\int \sqrt{\csc (x)} (x \cos (x)-4 \sec (x) \tan (x)) \, dx\)
 3.866 \(\int \cot (x) \sqrt{-1+\csc ^2(x)} (1-\sin ^2(x))^3 \, dx\)
 3.867 \(\int \cos (x) \sqrt{-1+\csc ^2(x)} (1-\sin ^2(x))^3 \, dx\)
 3.868 \(\int \frac{x \csc (x) \sec (x)}{\sqrt{a \sec ^2(x)}} \, dx\)
 3.869 \(\int \frac{x^2 \csc (x) \sec (x)}{\sqrt{a \sec ^2(x)}} \, dx\)
 3.870 \(\int \frac{x^3 \csc (x) \sec (x)}{\sqrt{a \sec ^2(x)}} \, dx\)
 3.871 \(\int \frac{x \csc (x) \sec (x)}{\sqrt{a \sec ^4(x)}} \, dx\)
 3.872 \(\int \frac{x^2 \csc (x) \sec (x)}{\sqrt{a \sec ^4(x)}} \, dx\)
 3.873 \(\int \frac{x^3 \csc (x) \sec (x)}{\sqrt{a \sec ^4(x)}} \, dx\)
 3.874 \(\int x \csc (x) \sec (x) \sqrt{a \sec ^2(x)} \, dx\)
 3.875 \(\int x^2 \csc (x) \sec (x) \sqrt{a \sec ^2(x)} \, dx\)
 3.876 \(\int x^3 \csc (x) \sec (x) \sqrt{a \sec ^2(x)} \, dx\)
 3.877 \(\int x \csc (x) \sec (x) \sqrt{a \sec ^4(x)} \, dx\)
 3.878 \(\int x^2 \csc (x) \sec (x) \sqrt{a \sec ^4(x)} \, dx\)
 3.879 \(\int x^3 \csc (x) \sec (x) \sqrt{a \sec ^4(x)} \, dx\)
 3.880 \(\int \sin (x) \sin (2 x) \sin (3 x) \, dx\)
 3.881 \(\int \cos (x) \cos (2 x) \cos (3 x) \, dx\)
 3.882 \(\int \cos (x) \sin (2 x) \sin (3 x) \, dx\)
 3.883 \(\int \cos (2 x) \cos (3 x) \sin (x) \, dx\)
 3.884 \(\int x \sin (x^2) \, dx\)
 3.885 \(\int (-\cos (x)+\sin (x)) (\cos (x)+\sin (x))^5 \, dx\)
 3.886 \(\int 2 x \sec ^2(x) \tan (x) \, dx\)
 3.887 \(\int \frac{1+\cos ^2(x)}{1+\cos (2 x)} \, dx\)
 3.888 \(\int \frac{\sin (x)}{\cos ^3(x)-\cos ^5(x)} \, dx\)
 3.889 \(\int \sec (x) (5-11 \sec ^5(x))^2 \tan (x) \, dx\)
 3.890 \(\int \sin ^3(5 x) \tan ^3(5 x) \, dx\)
 3.891 \(\int \sin ^3(5 x) \tan ^4(5 x) \, dx\)
 3.892 \(\int \sin ^5(6 x) \tan ^3(6 x) \, dx\)
 3.893 \(\int (-1+\sec ^2(2 x))^3 \sin (2 x) \, dx\)
 3.894 \(\int \sin (x) \tan ^5(x) \, dx\)
 3.895 \(\int \cos ^5(2 x) \cot ^4(2 x) \, dx\)
 3.896 \(\int \cos (3 x) (-1+\csc ^2(3 x))^3 (1-\sin ^2(3 x))^5 \, dx\)
 3.897 \(\int \cot (2 x) (-1+\csc ^2(2 x))^2 (1-\sin ^2(2 x))^2 \, dx\)
 3.898 \(\int \cos (2 x) (-1+\csc ^2(2 x))^4 (1-\sin ^2(2 x))^2 \, dx\)
 3.899 \(\int \cot (3 x) (-1+\csc ^2(3 x))^3 (1-\sin ^2(3 x))^2 \, dx\)
 3.900 \(\int (1+\cot ^2(9 x))^2 (1+\tan ^2(9 x))^3 \, dx\)
 3.901 \(\int \frac{\cos (x) (9-7 \sin ^3(x))^2}{1-\sin ^2(x)} \, dx\)
 3.902 \(\int \cos ^4(2 x) \cot ^5(2 x) \, dx\)
 3.903 \(\int \frac{\sec (x) \tan ^2(x)}{4+3 \sec (x)} \, dx\)
 3.904 \(\int x \sec (1+x) \tan (1+x) \, dx\)
 3.905 \(\int \frac{\sin (2 x)}{\sqrt{9-\sin ^2(x)}} \, dx\)
 3.906 \(\int \frac{\sin (2 x)}{\sqrt{9-\cos ^4(x)}} \, dx\)
 3.907 \(\int \frac{\cos (\frac{1}{x})}{x^5} \, dx\)
 3.908 \(\int \cos ^3(1+x) \sin ^3(1+x) \, dx\)
 3.909 \(\int (1+2 x)^3 \sin ^2(1+2 x) \, dx\)
 3.910 \(\int \frac{-1+\sec (x)}{1-\tan (x)} \, dx\)
 3.911 \(\int x^2 \cos (3 x) \cos (5 x) \, dx\)
 3.912 \(\int \frac{\cos (x)+\sin (x)}{\sqrt{\cos (x)} \sqrt{\sin (x)}} \, dx\)
 3.913 \(\int \sec ^2(x) (1+\sin (x)) \, dx\)
 3.914 \(\int (10 x^9 \cos (x^5 \log (x))-x^{10} (x^4+5 x^4 \log (x)) \sin (x^5 \log (x))) \, dx\)
 3.915 \(\int \cos ^2(\frac{x}{2}) \tan (\frac{\pi }{4}+\frac{x}{2}) \, dx\)
 3.916 \(\int (2+3 x)^2 \sin ^3(x) \, dx\)
 3.917 \(\int \sec ^{1+m}(x) \sin (x) \, dx\)
 3.918 \(\int \cos ^n(a+b x) \sin ^{-2-n}(a+b x) \, dx\)
 3.919 \(\int \frac{1}{\sec (x)+\sin (x) \tan (x)} \, dx\)
 3.920 \(\int (a+b x+c x^2) \sin (x) \, dx\)
 3.921 \(\int \frac{\sin (x^5)}{x} \, dx\)
 3.922 \(\int \frac{\sin (2^x)}{1+2^x} \, dx\)
 3.923 \(\int x \cos (2 x^2) \sin ^{\frac{3}{4}}(2 x^2) \, dx\)
 3.924 \(\int x \sec ^2(x^2) \tan ^2(x^2) \, dx\)
 3.925 \(\int x^2 \cos ^7(a+b x^3) \sin (a+b x^3) \, dx\)
 3.926 \(\int x^5 \cos ^7(a+b x^3) \sin (a+b x^3) \, dx\)
 3.927 \(\int x^5 \sec ^7(a+b x^3) \tan (a+b x^3) \, dx\)
 3.928 \(\int \frac{\sec ^2(\frac{1}{x})}{x^2} \, dx\)
 3.929 \(\int 3 x^2 \cos (x^3) \, dx\)
 3.930 \(\int (1+2 x) \sec ^2(1+2 x) \, dx\)
 3.931 \(\int (\frac{x^4}{b \sqrt{x^3+3 \sin (a+b x)}}+\frac{x^2 \cos (a+b x)}{\sqrt{x^3+3 \sin (a+b x)}}+\frac{4 x \sqrt{x^3+3 \sin (a+b x)}}{3 b}) \, dx\)
 3.932 \(\int \frac{x^2 \cos (a+b x)}{\sqrt{x^3+3 \sin (a+b x)}} \, dx\)
 3.933 \(\int \frac{\cos (x)+\sin (x)}{e^{-x}+\sin (x)} \, dx\)
 3.934 \(\int \sin (c+d x) (a \sin ^2(c+d x)+b \sin ^3(c+d x)) \, dx\)
 3.935 \(\int \sin (c+d x) (a \sin ^2(c+d x)+b \sin ^3(c+d x))^2 \, dx\)
 3.936 \(\int \sin (c+d x) (a \sin (c+d x)+b \sin ^2(c+d x)+c \sin ^3(c+d x)) \, dx\)
 3.937 \(\int \sin (c+d x) (a \sin (c+d x)+b \sin ^2(c+d x)+c \sin ^3(c+d x))^2 \, dx\)
 3.938 \(\int \sin (c+d x) (a+\frac{b}{\sqrt{\sin (c+d x)}}+c \sin (c+d x)) \, dx\)
 3.939 \(\int \sin (c+d x) (a+\frac{b}{\sqrt{\sin (c+d x)}}+c \sin (c+d x))^2 \, dx\)
 3.940 \(\int f^{a+b x} (\cos (c+d x)+i \sin (c+d x))^n \, dx\)
 3.941 \(\int f^{a+b x} (\cos (c+d x)-i \sin (c+d x))^n \, dx\)
 3.942 \(\int \frac{\cos ^5(a+b x)-\sin ^5(a+b x)}{\cos ^5(a+b x)+\sin ^5(a+b x)} \, dx\)
 3.943 \(\int \frac{\cos ^4(a+b x)-\sin ^4(a+b x)}{\cos ^4(a+b x)+\sin ^4(a+b x)} \, dx\)
 3.944 \(\int \frac{\cos ^3(a+b x)-\sin ^3(a+b x)}{\cos ^3(a+b x)+\sin ^3(a+b x)} \, dx\)
 3.945 \(\int \frac{\cos ^2(a+b x)-\sin ^2(a+b x)}{\cos ^2(a+b x)+\sin ^2(a+b x)} \, dx\)
 3.946 \(\int \frac{\cos (a+b x)-\sin (a+b x)}{\cos (a+b x)+\sin (a+b x)} \, dx\)
 3.947 \(\int \frac{-\csc (a+b x)+\sec (a+b x)}{\csc (a+b x)+\sec (a+b x)} \, dx\)
 3.948 \(\int \frac{-\csc ^2(a+b x)+\sec ^2(a+b x)}{\csc ^2(a+b x)+\sec ^2(a+b x)} \, dx\)
 3.949 \(\int \frac{-\csc ^3(a+b x)+\sec ^3(a+b x)}{\csc ^3(a+b x)+\sec ^3(a+b x)} \, dx\)
 3.950 \(\int \frac{-\csc ^4(a+b x)+\sec ^4(a+b x)}{\csc ^4(a+b x)+\sec ^4(a+b x)} \, dx\)