Chapter 3
Listing of integrals

 3.1 \(\int x^5 (a+b \sin (c+d x^2)) \, dx\)
 3.2 \(\int x^3 (a+b \sin (c+d x^2)) \, dx\)
 3.3 \(\int x (a+b \sin (c+d x^2)) \, dx\)
 3.4 \(\int \frac{a+b \sin (c+d x^2)}{x} \, dx\)
 3.5 \(\int \frac{a+b \sin (c+d x^2)}{x^3} \, dx\)
 3.6 \(\int \frac{a+b \sin (c+d x^2)}{x^5} \, dx\)
 3.7 \(\int x^4 (a+b \sin (c+d x^2)) \, dx\)
 3.8 \(\int x^2 (a+b \sin (c+d x^2)) \, dx\)
 3.9 \(\int (a+b \sin (c+d x^2)) \, dx\)
 3.10 \(\int \frac{a+b \sin (c+d x^2)}{x^2} \, dx\)
 3.11 \(\int \frac{a+b \sin (c+d x^2)}{x^4} \, dx\)
 3.12 \(\int x^5 (a+b \sin (c+d x^2))^2 \, dx\)
 3.13 \(\int x^3 (a+b \sin (c+d x^2))^2 \, dx\)
 3.14 \(\int x (a+b \sin (c+d x^2))^2 \, dx\)
 3.15 \(\int \frac{(a+b \sin (c+d x^2))^2}{x} \, dx\)
 3.16 \(\int \frac{(a+b \sin (c+d x^2))^2}{x^3} \, dx\)
 3.17 \(\int \frac{(a+b \sin (c+d x^2))^2}{x^5} \, dx\)
 3.18 \(\int x^4 (a+b \sin (c+d x^2))^2 \, dx\)
 3.19 \(\int x^2 (a+b \sin (c+d x^2))^2 \, dx\)
 3.20 \(\int (a+b \sin (c+d x^2))^2 \, dx\)
 3.21 \(\int \frac{(a+b \sin (c+d x^2))^2}{x^2} \, dx\)
 3.22 \(\int \frac{(a+b \sin (c+d x^2))^2}{x^4} \, dx\)
 3.23 \(\int x^5 \sin ^3(a+b x^2) \, dx\)
 3.24 \(\int x^3 \sin ^3(a+b x^2) \, dx\)
 3.25 \(\int x \sin ^3(a+b x^2) \, dx\)
 3.26 \(\int \frac{\sin ^3(a+b x^2)}{x} \, dx\)
 3.27 \(\int \frac{\sin ^3(a+b x^2)}{x^3} \, dx\)
 3.28 \(\int x^2 \sin ^3(a+b x^2) \, dx\)
 3.29 \(\int \sin ^3(a+b x^2) \, dx\)
 3.30 \(\int \frac{\sin ^3(a+b x^2)}{x^2} \, dx\)
 3.31 \(\int x^2 \sin ^3(x^2) \, dx\)
 3.32 \(\int x^4 \cos (x^2) \sin ^2(x^2) \, dx\)
 3.33 \(\int x \sin ^7(a+b x^2) \, dx\)
 3.34 \(\int \frac{(1+\sin (x^2))^2}{x^3} \, dx\)
 3.35 \(\int \frac{x^5}{a+b \sin (c+d x^2)} \, dx\)
 3.36 \(\int \frac{x^3}{a+b \sin (c+d x^2)} \, dx\)
 3.37 \(\int \frac{x}{a+b \sin (c+d x^2)} \, dx\)
 3.38 \(\int \frac{1}{x (a+b \sin (c+d x^2))} \, dx\)
 3.39 \(\int \frac{1}{x^3 (a+b \sin (c+d x^2))} \, dx\)
 3.40 \(\int \frac{x^2}{a+b \sin (c+d x^2)} \, dx\)
 3.41 \(\int \frac{1}{a+b \sin (c+d x^2)} \, dx\)
 3.42 \(\int \frac{1}{x^2 (a+b \sin (c+d x^2))} \, dx\)
 3.43 \(\int \frac{x^5}{(a+b \sin (c+d x^2))^2} \, dx\)
 3.44 \(\int \frac{x^3}{(a+b \sin (c+d x^2))^2} \, dx\)
 3.45 \(\int \frac{x}{(a+b \sin (c+d x^2))^2} \, dx\)
 3.46 \(\int \frac{1}{x (a+b \sin (c+d x^2))^2} \, dx\)
 3.47 \(\int \frac{1}{x^3 (a+b \sin (c+d x^2))^2} \, dx\)
 3.48 \(\int \frac{x^2}{(a+b \sin (c+d x^2))^2} \, dx\)
 3.49 \(\int \frac{1}{(a+b \sin (c+d x^2))^2} \, dx\)
 3.50 \(\int \frac{1}{x^2 (a+b \sin (c+d x^2))^2} \, dx\)
 3.51 \(\int (e x)^m (a+b \sin (c+d x^2))^p \, dx\)
 3.52 \(\int (e x)^m (a+b \sin (c+d x^2))^3 \, dx\)
 3.53 \(\int (e x)^m (a+b \sin (c+d x^2))^2 \, dx\)
 3.54 \(\int (e x)^m (a+b \sin (c+d x^2)) \, dx\)
 3.55 \(\int \frac{(e x)^m}{a+b \sin (c+d x^2)} \, dx\)
 3.56 \(\int \frac{(e x)^m}{(a+b \sin (c+d x^2))^2} \, dx\)
 3.57 \(\int x^5 (a+b \sin (c+d x^3)) \, dx\)
 3.58 \(\int x^2 (a+b \sin (c+d x^3)) \, dx\)
 3.59 \(\int \frac{a+b \sin (c+d x^3)}{x} \, dx\)
 3.60 \(\int \frac{a+b \sin (c+d x^3)}{x^4} \, dx\)
 3.61 \(\int x^4 (a+b \sin (c+d x^3)) \, dx\)
 3.62 \(\int x (a+b \sin (c+d x^3)) \, dx\)
 3.63 \(\int \frac{a+b \sin (c+d x^3)}{x^2} \, dx\)
 3.64 \(\int \frac{a+b \sin (c+d x^3)}{x^5} \, dx\)
 3.65 \(\int x^3 (a+b \sin (c+d x^3)) \, dx\)
 3.66 \(\int (a+b \sin (c+d x^3)) \, dx\)
 3.67 \(\int \frac{a+b \sin (c+d x^3)}{x^3} \, dx\)
 3.68 \(\int \frac{a+b \sin (c+d x^3)}{x^6} \, dx\)
 3.69 \(\int x^5 (a+b \sin (c+d x^3))^2 \, dx\)
 3.70 \(\int x^2 (a+b \sin (c+d x^3))^2 \, dx\)
 3.71 \(\int \frac{(a+b \sin (c+d x^3))^2}{x} \, dx\)
 3.72 \(\int \frac{(a+b \sin (c+d x^3))^2}{x^4} \, dx\)
 3.73 \(\int x^4 (a+b \sin (c+d x^3))^2 \, dx\)
 3.74 \(\int x (a+b \sin (c+d x^3))^2 \, dx\)
 3.75 \(\int \frac{(a+b \sin (c+d x^3))^2}{x^2} \, dx\)
 3.76 \(\int \frac{(a+b \sin (c+d x^3))^2}{x^5} \, dx\)
 3.77 \(\int x^3 (a+b \sin (c+d x^3))^2 \, dx\)
 3.78 \(\int (a+b \sin (c+d x^3))^2 \, dx\)
 3.79 \(\int \frac{(a+b \sin (c+d x^3))^2}{x^3} \, dx\)
 3.80 \(\int \frac{(a+b \sin (c+d x^3))^2}{x^6} \, dx\)
 3.81 \(\int \frac{x^5}{a+b \sin (c+d x^3)} \, dx\)
 3.82 \(\int \frac{x^2}{a+b \sin (c+d x^3)} \, dx\)
 3.83 \(\int \frac{1}{x (a+b \sin (c+d x^3))} \, dx\)
 3.84 \(\int \frac{1}{x^4 (a+b \sin (c+d x^3))} \, dx\)
 3.85 \(\int \frac{x}{a+b \sin (c+d x^3)} \, dx\)
 3.86 \(\int \frac{1}{x^2 (a+b \sin (c+d x^3))} \, dx\)
 3.87 \(\int \frac{1}{a+b \sin (c+d x^3)} \, dx\)
 3.88 \(\int \frac{1}{x^3 (a+b \sin (c+d x^3))} \, dx\)
 3.89 \(\int \frac{x^5}{(a+b \sin (c+d x^3))^2} \, dx\)
 3.90 \(\int \frac{x^2}{(a+b \sin (c+d x^3))^2} \, dx\)
 3.91 \(\int \frac{1}{x (a+b \sin (c+d x^3))^2} \, dx\)
 3.92 \(\int \frac{1}{x^4 (a+b \sin (c+d x^3))^2} \, dx\)
 3.93 \(\int \frac{x}{(a+b \sin (c+d x^3))^2} \, dx\)
 3.94 \(\int \frac{1}{x^2 (a+b \sin (c+d x^3))^2} \, dx\)
 3.95 \(\int \frac{1}{(a+b \sin (c+d x^3))^2} \, dx\)
 3.96 \(\int \frac{1}{x^3 (a+b \sin (c+d x^3))^2} \, dx\)
 3.97 \(\int (e x)^m (a+b \sin (c+d x^3))^p \, dx\)
 3.98 \(\int (e x)^m (a+b \sin (c+d x^3))^3 \, dx\)
 3.99 \(\int (e x)^m (a+b \sin (c+d x^3))^2 \, dx\)
 3.100 \(\int (e x)^m (a+b \sin (c+d x^3)) \, dx\)
 3.101 \(\int \frac{(e x)^m}{a+b \sin (c+d x^3)} \, dx\)
 3.102 \(\int \frac{(e x)^m}{(a+b \sin (c+d x^3))^2} \, dx\)
 3.103 \(\int x^2 \sin (a+\frac{b}{x}) \, dx\)
 3.104 \(\int x \sin (a+\frac{b}{x}) \, dx\)
 3.105 \(\int \sin (a+\frac{b}{x}) \, dx\)
 3.106 \(\int \frac{\sin (a+\frac{b}{x})}{x} \, dx\)
 3.107 \(\int \frac{\sin (a+\frac{b}{x})}{x^2} \, dx\)
 3.108 \(\int \frac{\sin (a+\frac{b}{x})}{x^3} \, dx\)
 3.109 \(\int \frac{\sin (a+\frac{b}{x})}{x^4} \, dx\)
 3.110 \(\int \frac{\sin (a+\frac{b}{x})}{x^5} \, dx\)
 3.111 \(\int x^2 \sin ^2(a+\frac{b}{x}) \, dx\)
 3.112 \(\int x \sin ^2(a+\frac{b}{x}) \, dx\)
 3.113 \(\int \sin ^2(a+\frac{b}{x}) \, dx\)
 3.114 \(\int \frac{\sin ^2(a+\frac{b}{x})}{x} \, dx\)
 3.115 \(\int \frac{\sin ^2(a+\frac{b}{x})}{x^2} \, dx\)
 3.116 \(\int \frac{\sin ^2(a+\frac{b}{x})}{x^3} \, dx\)
 3.117 \(\int \frac{\sin ^2(a+\frac{b}{x})}{x^4} \, dx\)
 3.118 \(\int \frac{\sin ^2(a+\frac{b}{x})}{x^5} \, dx\)
 3.119 \(\int \sin (a+\frac{b}{x^2}) \, dx\)
 3.120 \(\int \frac{\sin (a+\frac{b}{x^2})}{x} \, dx\)
 3.121 \(\int \frac{\sin (a+\frac{b}{x^2})}{x^2} \, dx\)
 3.122 \(\int \frac{\sin (a+\frac{b}{x^2})}{x^3} \, dx\)
 3.123 \(\int \frac{\sin (a+\frac{b}{x^2})}{x^4} \, dx\)
 3.124 \(\int \frac{\sin (\sqrt{x})}{\sqrt{x}} \, dx\)
 3.125 \(\int \frac{\sin ^3(\sqrt{x})}{\sqrt{x}} \, dx\)
 3.126 \(\int \sin (\sqrt{x}) \, dx\)
 3.127 \(\int \sin ^2(\sqrt [3]{x}) \, dx\)
 3.128 \(\int \sin ^3(\sqrt [3]{x}) \, dx\)
 3.129 \(\int (e x)^m (b \sin (c+d x^n))^p \, dx\)
 3.130 \(\int (e x)^m (a+b \sin (c+d x^n))^p \, dx\)
 3.131 \(\int (e x)^{-1+n} (b \sin (c+d x^n))^p \, dx\)
 3.132 \(\int (e x)^{-1+2 n} (b \sin (c+d x^n))^p \, dx\)
 3.133 \(\int (e x)^{-1+n} (a+b \sin (c+d x^n))^p \, dx\)
 3.134 \(\int (e x)^{-1+2 n} (a+b \sin (c+d x^n))^p \, dx\)
 3.135 \(\int \frac{\sin (a+b x^n)}{x} \, dx\)
 3.136 \(\int \frac{\sin ^2(a+b x^n)}{x} \, dx\)
 3.137 \(\int \frac{\sin ^3(a+b x^n)}{x} \, dx\)
 3.138 \(\int \frac{\sin ^4(a+b x^n)}{x} \, dx\)
 3.139 \(\int \sin (a+b x^n) \, dx\)
 3.140 \(\int \sin ^2(a+b x^n) \, dx\)
 3.141 \(\int \sin ^3(a+b x^n) \, dx\)
 3.142 \(\int x^m \sin (a+b x^n) \, dx\)
 3.143 \(\int x^m \sin ^2(a+b x^n) \, dx\)
 3.144 \(\int x^m \sin ^3(a+b x^n) \, dx\)
 3.145 \(\int x^{-1+2 n} \sin (a+b x^n) \, dx\)
 3.146 \(\int x^{-1+2 n} \cos (a+b x^n) \, dx\)
 3.147 \(\int x^{-1-n} \sin (a+b x^n) \, dx\)
 3.148 \(\int x^{-1-n} \sin ^2(a+b x^n) \, dx\)
 3.149 \(\int x^{-1-n} \sin ^3(a+b x^n) \, dx\)
 3.150 \(\int x^{-1-2 n} \sin (a+b x^n) \, dx\)
 3.151 \(\int x^{-1-2 n} \sin ^2(a+b x^n) \, dx\)
 3.152 \(\int x^{-1-2 n} \sin ^3(a+b x^n) \, dx\)
 3.153 \(\int (e+f x)^3 \sin (b (c+d x)^2) \, dx\)
 3.154 \(\int (e+f x)^2 \sin (b (c+d x)^2) \, dx\)
 3.155 \(\int (e+f x) \sin (b (c+d x)^2) \, dx\)
 3.156 \(\int \sin (b (c+d x)^2) \, dx\)
 3.157 \(\int \frac{\sin (b (c+d x)^2)}{e+f x} \, dx\)
 3.158 \(\int \frac{\sin (b (c+d x)^2)}{(e+f x)^2} \, dx\)
 3.159 \(\int (e+f x)^3 \sin (\frac{b}{(c+d x)^2}) \, dx\)
 3.160 \(\int (e+f x)^2 \sin (\frac{b}{(c+d x)^2}) \, dx\)
 3.161 \(\int (e+f x) \sin (\frac{b}{(c+d x)^2}) \, dx\)
 3.162 \(\int \sin (\frac{b}{(c+d x)^2}) \, dx\)
 3.163 \(\int \frac{\sin (\frac{b}{(c+d x)^2})}{e+f x} \, dx\)
 3.164 \(\int \frac{\sin (\frac{b}{(c+d x)^2})}{(e+f x)^2} \, dx\)
 3.165 \(\int (e+f x)^3 \sin (a+b (c+d x)^2) \, dx\)
 3.166 \(\int (e+f x)^2 \sin (a+b (c+d x)^2) \, dx\)
 3.167 \(\int (e+f x) \sin (a+b (c+d x)^2) \, dx\)
 3.168 \(\int \sin (a+b (c+d x)^2) \, dx\)
 3.169 \(\int \frac{\sin (a+b (c+d x)^2)}{e+f x} \, dx\)
 3.170 \(\int \frac{\sin (a+b (c+d x)^2)}{(e+f x)^2} \, dx\)
 3.171 \(\int (e+f x)^3 \sin (a+b (c+d x)^3) \, dx\)
 3.172 \(\int (e+f x)^2 \sin (a+b (c+d x)^3) \, dx\)
 3.173 \(\int (e+f x) \sin (a+b (c+d x)^3) \, dx\)
 3.174 \(\int \sin (a+b (c+d x)^3) \, dx\)
 3.175 \(\int \frac{\sin (a+b (c+d x)^3)}{e+f x} \, dx\)
 3.176 \(\int \frac{\sin (a+b (c+d x)^3)}{(e+f x)^2} \, dx\)
 3.177 \(\int (e+f x)^2 \sin (a+\frac{b}{(c+d x)^2}) \, dx\)
 3.178 \(\int (e+f x) \sin (a+\frac{b}{(c+d x)^2}) \, dx\)
 3.179 \(\int \sin (a+\frac{b}{(c+d x)^2}) \, dx\)
 3.180 \(\int \frac{\sin (a+\frac{b}{(c+d x)^2})}{e+f x} \, dx\)
 3.181 \(\int \frac{\sin (a+\frac{b}{(c+d x)^2})}{(e+f x)^2} \, dx\)
 3.182 \(\int (e+f x)^2 \sin (a+\frac{b}{(c+d x)^3}) \, dx\)
 3.183 \(\int (e+f x) \sin (a+\frac{b}{(c+d x)^3}) \, dx\)
 3.184 \(\int \sin (a+\frac{b}{(c+d x)^3}) \, dx\)
 3.185 \(\int \frac{\sin (a+\frac{b}{(c+d x)^3})}{e+f x} \, dx\)
 3.186 \(\int \frac{\sin (a+\frac{b}{(c+d x)^3})}{(e+f x)^2} \, dx\)
 3.187 \(\int (e+f x)^2 \sin (a+b \sqrt{c+d x}) \, dx\)
 3.188 \(\int (e+f x) \sin (a+b \sqrt{c+d x}) \, dx\)
 3.189 \(\int \sin (a+b \sqrt{c+d x}) \, dx\)
 3.190 \(\int \frac{\sin (a+b \sqrt{c+d x})}{e+f x} \, dx\)
 3.191 \(\int \frac{\sin (a+b \sqrt{c+d x})}{(e+f x)^2} \, dx\)
 3.192 \(\int (e+f x)^2 \sin (a+b (c+d x)^{3/2}) \, dx\)
 3.193 \(\int (e+f x) \sin (a+b (c+d x)^{3/2}) \, dx\)
 3.194 \(\int \sin (a+b (c+d x)^{3/2}) \, dx\)
 3.195 \(\int \frac{\sin (a+b (c+d x)^{3/2})}{e+f x} \, dx\)
 3.196 \(\int \frac{\sin (a+b (c+d x)^{3/2})}{(e+f x)^2} \, dx\)
 3.197 \(\int (e+f x)^2 \sin (a+\frac{b}{\sqrt{c+d x}}) \, dx\)
 3.198 \(\int (e+f x) \sin (a+\frac{b}{\sqrt{c+d x}}) \, dx\)
 3.199 \(\int \sin (a+\frac{b}{\sqrt{c+d x}}) \, dx\)
 3.200 \(\int \frac{\sin (a+\frac{b}{\sqrt{c+d x}})}{e+f x} \, dx\)
 3.201 \(\int \frac{\sin (a+\frac{b}{\sqrt{c+d x}})}{(e+f x)^2} \, dx\)
 3.202 \(\int (e+f x)^2 \sin (a+\frac{b}{(c+d x)^{3/2}}) \, dx\)
 3.203 \(\int (e+f x) \sin (a+\frac{b}{(c+d x)^{3/2}}) \, dx\)
 3.204 \(\int \sin (a+\frac{b}{(c+d x)^{3/2}}) \, dx\)
 3.205 \(\int \frac{\sin (a+\frac{b}{(c+d x)^{3/2}})}{e+f x} \, dx\)
 3.206 \(\int \frac{\sin (a+\frac{b}{(c+d x)^{3/2}})}{(e+f x)^2} \, dx\)
 3.207 \(\int (e+f x)^2 \sin (a+b \sqrt [3]{c+d x}) \, dx\)
 3.208 \(\int (e+f x) \sin (a+b \sqrt [3]{c+d x}) \, dx\)
 3.209 \(\int \sin (a+b \sqrt [3]{c+d x}) \, dx\)
 3.210 \(\int \frac{\sin (a+b \sqrt [3]{c+d x})}{e+f x} \, dx\)
 3.211 \(\int \frac{\sin (a+b \sqrt [3]{c+d x})}{(e+f x)^2} \, dx\)
 3.212 \(\int (e+f x)^2 \sin (a+b (c+d x)^{2/3}) \, dx\)
 3.213 \(\int (e+f x) \sin (a+b (c+d x)^{2/3}) \, dx\)
 3.214 \(\int \sin (a+b (c+d x)^{2/3}) \, dx\)
 3.215 \(\int \frac{\sin (a+b (c+d x)^{2/3})}{e+f x} \, dx\)
 3.216 \(\int \frac{\sin (a+b (c+d x)^{2/3})}{(e+f x)^2} \, dx\)
 3.217 \(\int (e+f x)^2 \sin (a+\frac{b}{\sqrt [3]{c+d x}}) \, dx\)
 3.218 \(\int (e+f x) \sin (a+\frac{b}{\sqrt [3]{c+d x}}) \, dx\)
 3.219 \(\int \sin (a+\frac{b}{\sqrt [3]{c+d x}}) \, dx\)
 3.220 \(\int \frac{\sin (a+\frac{b}{\sqrt [3]{c+d x}})}{e+f x} \, dx\)
 3.221 \(\int \frac{\sin (a+\frac{b}{\sqrt [3]{c+d x}})}{(e+f x)^2} \, dx\)
 3.222 \(\int (e+f x)^2 \sin (a+\frac{b}{(c+d x)^{2/3}}) \, dx\)
 3.223 \(\int (e+f x) \sin (a+\frac{b}{(c+d x)^{2/3}}) \, dx\)
 3.224 \(\int \sin (a+\frac{b}{(c+d x)^{2/3}}) \, dx\)
 3.225 \(\int \frac{\sin (a+\frac{b}{(c+d x)^{2/3}})}{e+f x} \, dx\)
 3.226 \(\int \frac{\sin (a+\frac{b}{(c+d x)^{2/3}})}{(e+f x)^2} \, dx\)
 3.227 \(\int (c e+d e x)^{4/3} \sin (a+b \sqrt [3]{c+d x}) \, dx\)
 3.228 \(\int (c e+d e x)^{2/3} \sin (a+b \sqrt [3]{c+d x}) \, dx\)
 3.229 \(\int \sqrt [3]{c e+d e x} \sin (a+b \sqrt [3]{c+d x}) \, dx\)
 3.230 \(\int \frac{\sin (a+b \sqrt [3]{c+d x})}{\sqrt [3]{c e+d e x}} \, dx\)
 3.231 \(\int \frac{\sin (a+b \sqrt [3]{c+d x})}{(c e+d e x)^{2/3}} \, dx\)
 3.232 \(\int \frac{\sin (a+b \sqrt [3]{c+d x})}{(c e+d e x)^{4/3}} \, dx\)
 3.233 \(\int \frac{\sin (a+b \sqrt [3]{c+d x})}{(c e+d e x)^{5/3}} \, dx\)
 3.234 \(\int \frac{\sin (a+b \sqrt [3]{c+d x})}{(c e+d e x)^{7/3}} \, dx\)
 3.235 \(\int (c e+d e x)^{4/3} \sin (a+b (c+d x)^{2/3}) \, dx\)
 3.236 \(\int (c e+d e x)^{2/3} \sin (a+b (c+d x)^{2/3}) \, dx\)
 3.237 \(\int \sqrt [3]{c e+d e x} \sin (a+b (c+d x)^{2/3}) \, dx\)
 3.238 \(\int \frac{\sin (a+b (c+d x)^{2/3})}{\sqrt [3]{c e+d e x}} \, dx\)
 3.239 \(\int \frac{\sin (a+b (c+d x)^{2/3})}{(c e+d e x)^{2/3}} \, dx\)
 3.240 \(\int \frac{\sin (a+b (c+d x)^{2/3})}{(c e+d e x)^{4/3}} \, dx\)
 3.241 \(\int \frac{\sin (a+b (c+d x)^{2/3})}{(c e+d e x)^{5/3}} \, dx\)
 3.242 \(\int \sqrt [3]{c e+d e x} \sin (a+\frac{b}{\sqrt [3]{c+d x}}) \, dx\)
 3.243 \(\int \frac{\sin (a+\frac{b}{\sqrt [3]{c+d x}})}{\sqrt [3]{c e+d e x}} \, dx\)
 3.244 \(\int \frac{\sin (a+\frac{b}{\sqrt [3]{c+d x}})}{(c e+d e x)^{2/3}} \, dx\)
 3.245 \(\int \frac{\sin (a+\frac{b}{\sqrt [3]{c+d x}})}{(c e+d e x)^{4/3}} \, dx\)
 3.246 \(\int \frac{\sin (a+\frac{b}{\sqrt [3]{c+d x}})}{(c e+d e x)^{5/3}} \, dx\)
 3.247 \(\int \frac{\sin (a+\frac{b}{\sqrt [3]{c+d x}})}{(c e+d e x)^{7/3}} \, dx\)
 3.248 \(\int \frac{\sin (a+\frac{b}{\sqrt [3]{c+d x}})}{(c e+d e x)^{8/3}} \, dx\)
 3.249 \(\int (c e+d e x)^{4/3} \sin (a+\frac{b}{(c+d x)^{2/3}}) \, dx\)
 3.250 \(\int (c e+d e x)^{2/3} \sin (a+\frac{b}{(c+d x)^{2/3}}) \, dx\)
 3.251 \(\int \sqrt [3]{c e+d e x} \sin (a+\frac{b}{(c+d x)^{2/3}}) \, dx\)
 3.252 \(\int \frac{\sin (a+\frac{b}{(c+d x)^{2/3}})}{\sqrt [3]{c e+d e x}} \, dx\)
 3.253 \(\int \frac{\sin (a+\frac{b}{(c+d x)^{2/3}})}{(c e+d e x)^{2/3}} \, dx\)
 3.254 \(\int \frac{\sin (a+\frac{b}{(c+d x)^{2/3}})}{(c e+d e x)^{4/3}} \, dx\)
 3.255 \(\int \frac{\sin (a+\frac{b}{(c+d x)^{2/3}})}{(c e+d e x)^{5/3}} \, dx\)
 3.256 \(\int \frac{\sin (a+\frac{b}{(c+d x)^{2/3}})}{(c e+d e x)^{7/3}} \, dx\)
 3.257 \(\int \frac{\sin (a+\frac{b}{(c+d x)^{2/3}})}{(c e+d e x)^{8/3}} \, dx\)
 3.258 \(\int \frac{\sin (a+\frac{b}{(c+d x)^{2/3}})}{(c e+d e x)^{10/3}} \, dx\)
 3.259 \(\int (e x)^m \sin (a+b (c+d x)^n) \, dx\)
 3.260 \(\int x^3 \sin (a+b (c+d x)^n) \, dx\)
 3.261 \(\int x^2 \sin (a+b (c+d x)^n) \, dx\)
 3.262 \(\int x \sin (a+b (c+d x)^n) \, dx\)
 3.263 \(\int \sin (a+b (c+d x)^n) \, dx\)
 3.264 \(\int \frac{\sin (a+b (c+d x)^n)}{x} \, dx\)
 3.265 \(\int \frac{\sin (a+b (c+d x)^n)}{x^2} \, dx\)
 3.266 \(\int x^3 (a+b \sin (c+d (f+g x)^n)) \, dx\)
 3.267 \(\int x^2 (a+b \sin (c+d (f+g x)^n)) \, dx\)
 3.268 \(\int x (a+b \sin (c+d (f+g x)^n)) \, dx\)
 3.269 \(\int (a+b \sin (c+d (f+g x)^n)) \, dx\)
 3.270 \(\int \frac{a+b \sin (c+d (f+g x)^n)}{x} \, dx\)
 3.271 \(\int \frac{a+b \sin (c+d (f+g x)^n)}{x^2} \, dx\)
 3.272 \(\int x^2 (a+b \sin (c+d (f+g x)^n))^2 \, dx\)
 3.273 \(\int x (a+b \sin (c+d (f+g x)^n))^2 \, dx\)
 3.274 \(\int (a+b \sin (c+d (f+g x)^n))^2 \, dx\)
 3.275 \(\int \frac{(a+b \sin (c+d (f+g x)^n))^2}{x} \, dx\)
 3.276 \(\int \frac{(a+b \sin (c+d (f+g x)^n))^2}{x^2} \, dx\)
 3.277 \(\int \frac{x^2}{a+b \sin (c+d (f+g x)^n)} \, dx\)
 3.278 \(\int \frac{x}{a+b \sin (c+d (f+g x)^n)} \, dx\)
 3.279 \(\int \frac{1}{a+b \sin (c+d (f+g x)^n)} \, dx\)
 3.280 \(\int \frac{1}{x (a+b \sin (c+d (f+g x)^n))} \, dx\)
 3.281 \(\int \frac{1}{x^2 (a+b \sin (c+d (f+g x)^n))} \, dx\)
 3.282 \(\int \frac{x^2}{(a+b \sin (c+d (f+g x)^n))^2} \, dx\)
 3.283 \(\int \frac{x}{(a+b \sin (c+d (f+g x)^n))^2} \, dx\)
 3.284 \(\int \frac{1}{(a+b \sin (c+d (f+g x)^n))^2} \, dx\)
 3.285 \(\int \frac{1}{x (a+b \sin (c+d (f+g x)^n))^2} \, dx\)
 3.286 \(\int \frac{1}{x^2 (a+b \sin (c+d (f+g x)^n))^2} \, dx\)
 3.287 \(\int (e x)^m (a+b \sin (c+d (f+g x)^n))^p \, dx\)
 3.288 \(\int (e+f x)^2 (a+b \sin (c+\frac{d}{x})) \, dx\)
 3.289 \(\int (e+f x) (a+b \sin (c+\frac{d}{x})) \, dx\)
 3.290 \(\int (a+b \sin (c+\frac{d}{x})) \, dx\)
 3.291 \(\int \frac{a+b \sin (c+\frac{d}{x})}{e+f x} \, dx\)
 3.292 \(\int \frac{a+b \sin (c+\frac{d}{x})}{(e+f x)^2} \, dx\)
 3.293 \(\int \frac{a+b \sin (c+\frac{d}{x})}{(e+f x)^3} \, dx\)
 3.294 \(\int (e+f x) (a+b \sin (c+\frac{d}{x}))^2 \, dx\)
 3.295 \(\int (a+b \sin (c+\frac{d}{x}))^2 \, dx\)
 3.296 \(\int \frac{(a+b \sin (c+\frac{d}{x}))^2}{e+f x} \, dx\)
 3.297 \(\int \frac{(a+b \sin (c+\frac{d}{x}))^2}{(e+f x)^2} \, dx\)
 3.298 \(\int \frac{(a+b \sin (c+\frac{d}{x}))^2}{(e+f x)^3} \, dx\)
 3.299 \(\int \frac{(e+f x)^2}{a+b \sin (c+\frac{d}{x})} \, dx\)
 3.300 \(\int \frac{e+f x}{a+b \sin (c+\frac{d}{x})} \, dx\)
 3.301 \(\int \frac{1}{a+b \sin (c+\frac{d}{x})} \, dx\)
 3.302 \(\int \frac{e+f x}{a+b \sin (c+\frac{d}{x})} \, dx\)
 3.303 \(\int \frac{(e+f x)^2}{a+b \sin (c+\frac{d}{x})} \, dx\)
 3.304 \(\int \frac{(e+f x)^2}{(a+b \sin (c+\frac{d}{x}))^2} \, dx\)
 3.305 \(\int \frac{e+f x}{(a+b \sin (c+\frac{d}{x}))^2} \, dx\)
 3.306 \(\int \frac{1}{(a+b \sin (c+\frac{d}{x}))^2} \, dx\)
 3.307 \(\int \frac{e+f x}{(a+b \sin (c+\frac{d}{x}))^2} \, dx\)
 3.308 \(\int \frac{(e+f x)^2}{(a+b \sin (c+\frac{d}{x}))^2} \, dx\)
 3.309 \(\int (e+f x)^m (a+b \sin (c+\frac{d}{x}))^p \, dx\)
 3.310 \(\int x^m \sqrt [3]{c \sin ^3(a+b x)} \, dx\)
 3.311 \(\int x^3 \sqrt [3]{c \sin ^3(a+b x)} \, dx\)
 3.312 \(\int x^2 \sqrt [3]{c \sin ^3(a+b x)} \, dx\)
 3.313 \(\int x \sqrt [3]{c \sin ^3(a+b x)} \, dx\)
 3.314 \(\int \sqrt [3]{c \sin ^3(a+b x)} \, dx\)
 3.315 \(\int \frac{\sqrt [3]{c \sin ^3(a+b x)}}{x} \, dx\)
 3.316 \(\int \frac{\sqrt [3]{c \sin ^3(a+b x)}}{x^2} \, dx\)
 3.317 \(\int \frac{\sqrt [3]{c \sin ^3(a+b x)}}{x^3} \, dx\)
 3.318 \(\int x^m \sqrt [3]{c \sin ^3(a+b x^2)} \, dx\)
 3.319 \(\int x^3 \sqrt [3]{c \sin ^3(a+b x^2)} \, dx\)
 3.320 \(\int x^2 \sqrt [3]{c \sin ^3(a+b x^2)} \, dx\)
 3.321 \(\int x \sqrt [3]{c \sin ^3(a+b x^2)} \, dx\)
 3.322 \(\int \sqrt [3]{c \sin ^3(a+b x^2)} \, dx\)
 3.323 \(\int \frac{\sqrt [3]{c \sin ^3(a+b x^2)}}{x} \, dx\)
 3.324 \(\int \frac{\sqrt [3]{c \sin ^3(a+b x^2)}}{x^2} \, dx\)
 3.325 \(\int \frac{\sqrt [3]{c \sin ^3(a+b x^2)}}{x^3} \, dx\)
 3.326 \(\int x^m \sqrt [3]{c \sin ^3(a+b x^n)} \, dx\)
 3.327 \(\int x^3 \sqrt [3]{c \sin ^3(a+b x^n)} \, dx\)
 3.328 \(\int x^2 \sqrt [3]{c \sin ^3(a+b x^n)} \, dx\)
 3.329 \(\int x \sqrt [3]{c \sin ^3(a+b x^n)} \, dx\)
 3.330 \(\int \sqrt [3]{c \sin ^3(a+b x^n)} \, dx\)
 3.331 \(\int \frac{\sqrt [3]{c \sin ^3(a+b x^n)}}{x} \, dx\)
 3.332 \(\int \frac{\sqrt [3]{c \sin ^3(a+b x^n)}}{x^2} \, dx\)
 3.333 \(\int \frac{\sqrt [3]{c \sin ^3(a+b x^n)}}{x^3} \, dx\)
 3.334 \(\int x^m (c \sin ^3(a+b x))^{2/3} \, dx\)
 3.335 \(\int x^3 (c \sin ^3(a+b x))^{2/3} \, dx\)
 3.336 \(\int x^2 (c \sin ^3(a+b x))^{2/3} \, dx\)
 3.337 \(\int x (c \sin ^3(a+b x))^{2/3} \, dx\)
 3.338 \(\int (c \sin ^3(a+b x))^{2/3} \, dx\)
 3.339 \(\int \frac{(c \sin ^3(a+b x))^{2/3}}{x} \, dx\)
 3.340 \(\int \frac{(c \sin ^3(a+b x))^{2/3}}{x^2} \, dx\)
 3.341 \(\int \frac{(c \sin ^3(a+b x))^{2/3}}{x^3} \, dx\)
 3.342 \(\int x^m (c \sin ^3(a+b x^2))^{2/3} \, dx\)
 3.343 \(\int x^3 (c \sin ^3(a+b x^2))^{2/3} \, dx\)
 3.344 \(\int x^2 (c \sin ^3(a+b x^2))^{2/3} \, dx\)
 3.345 \(\int x (c \sin ^3(a+b x^2))^{2/3} \, dx\)
 3.346 \(\int (c \sin ^3(a+b x^2))^{2/3} \, dx\)
 3.347 \(\int \frac{(c \sin ^3(a+b x^2))^{2/3}}{x} \, dx\)
 3.348 \(\int \frac{(c \sin ^3(a+b x^2))^{2/3}}{x^2} \, dx\)
 3.349 \(\int \frac{(c \sin ^3(a+b x^2))^{2/3}}{x^3} \, dx\)
 3.350 \(\int x^m (c \sin ^3(a+b x^n))^{2/3} \, dx\)
 3.351 \(\int x^3 (c \sin ^3(a+b x^n))^{2/3} \, dx\)
 3.352 \(\int x^2 (c \sin ^3(a+b x^n))^{2/3} \, dx\)
 3.353 \(\int x (c \sin ^3(a+b x^n))^{2/3} \, dx\)
 3.354 \(\int (c \sin ^3(a+b x^n))^{2/3} \, dx\)
 3.355 \(\int \frac{(c \sin ^3(a+b x^n))^{2/3}}{x} \, dx\)
 3.356 \(\int \frac{(c \sin ^3(a+b x^n))^{2/3}}{x^2} \, dx\)
 3.357 \(\int \frac{(c \sin ^3(a+b x^n))^{2/3}}{x^3} \, dx\)