3 Listing of integrals

 3.1 \(\int \left (a+b x^3\right ) \left (c+d x^3\right )^4 \, dx\)
 3.2 \(\int \left (a+b x^3\right ) \left (c+d x^3\right )^3 \, dx\)
 3.3 \(\int \left (a+b x^3\right ) \left (c+d x^3\right )^2 \, dx\)
 3.4 \(\int \left (a+b x^3\right ) \left (c+d x^3\right ) \, dx\)
 3.5 \(\int \frac{a+b x^3}{c+d x^3} \, dx\)
 3.6 \(\int \frac{a+b x^3}{\left (c+d x^3\right )^2} \, dx\)
 3.7 \(\int \frac{a+b x^3}{\left (c+d x^3\right )^3} \, dx\)
 3.8 \(\int \left (a+b x^3\right )^2 \left (c+d x^3\right )^3 \, dx\)
 3.9 \(\int \left (a+b x^3\right )^2 \left (c+d x^3\right )^2 \, dx\)
 3.10 \(\int \left (a+b x^3\right )^2 \left (c+d x^3\right ) \, dx\)
 3.11 \(\int \frac{\left (a+b x^3\right )^2}{c+d x^3} \, dx\)
 3.12 \(\int \frac{\left (a+b x^3\right )^2}{\left (c+d x^3\right )^2} \, dx\)
 3.13 \(\int \frac{\left (a+b x^3\right )^2}{\left (c+d x^3\right )^3} \, dx\)
 3.14 \(\int \frac{\left (c+d x^3\right )^4}{a+b x^3} \, dx\)
 3.15 \(\int \frac{\left (c+d x^3\right )^3}{a+b x^3} \, dx\)
 3.16 \(\int \frac{\left (c+d x^3\right )^2}{a+b x^3} \, dx\)
 3.17 \(\int \frac{c+d x^3}{a+b x^3} \, dx\)
 3.18 \(\int \frac{1}{\left (a+b x^3\right ) \left (c+d x^3\right )} \, dx\)
 3.19 \(\int \frac{1}{\left (a+b x^3\right ) \left (c+d x^3\right )^2} \, dx\)
 3.20 \(\int \frac{\left (c+d x^3\right )^5}{\left (a+b x^3\right )^2} \, dx\)
 3.21 \(\int \frac{\left (c+d x^3\right )^4}{\left (a+b x^3\right )^2} \, dx\)
 3.22 \(\int \frac{\left (c+d x^3\right )^3}{\left (a+b x^3\right )^2} \, dx\)
 3.23 \(\int \frac{\left (c+d x^3\right )^2}{\left (a+b x^3\right )^2} \, dx\)
 3.24 \(\int \frac{c+d x^3}{\left (a+b x^3\right )^2} \, dx\)
 3.25 \(\int \frac{1}{\left (a+b x^3\right )^2 \left (c+d x^3\right )} \, dx\)
 3.26 \(\int \frac{1}{\left (a+b x^3\right )^2 \left (c+d x^3\right )^2} \, dx\)
 3.27 \(\int \frac{\left (a+b x^3\right )^3}{\left (c+d x^3\right )^{13/3}} \, dx\)
 3.28 \(\int \frac{\left (a+b x^3\right )^2}{\left (c+d x^3\right )^{10/3}} \, dx\)
 3.29 \(\int \frac{a+b x^3}{\left (c+d x^3\right )^{7/3}} \, dx\)
 3.30 \(\int \frac{1}{\left (c+d x^3\right )^{4/3}} \, dx\)
 3.31 \(\int \frac{1}{\left (a+b x^3\right ) \sqrt [3]{c+d x^3}} \, dx\)
 3.32 \(\int \frac{\left (c+d x^3\right )^{2/3}}{\left (a+b x^3\right )^2} \, dx\)
 3.33 \(\int \frac{\left (c+d x^3\right )^{5/3}}{\left (a+b x^3\right )^3} \, dx\)
 3.34 \(\int \left (a+b x^3\right )^m \left (c+d x^3\right )^p \, dx\)
 3.35 \(\int \left (a+b x^3\right )^2 \left (c+d x^3\right )^q \, dx\)
 3.36 \(\int \left (a+b x^3\right ) \left (c+d x^3\right )^q \, dx\)
 3.37 \(\int \frac{\left (c+d x^3\right )^q}{a+b x^3} \, dx\)
 3.38 \(\int \frac{\left (c+d x^3\right )^q}{\left (a+b x^3\right )^2} \, dx\)
 3.39 \(\int \left (a+b x^3\right )^m \left (c+d x^3\right )^3 \, dx\)
 3.40 \(\int \left (a+b x^3\right )^m \left (c+d x^3\right )^2 \, dx\)
 3.41 \(\int \left (a+b x^3\right )^m \left (c+d x^3\right ) \, dx\)
 3.42 \(\int \left (a+b x^3\right )^m \, dx\)
 3.43 \(\int \frac{\left (a+b x^3\right )^m}{c+d x^3} \, dx\)
 3.44 \(\int \frac{\left (a+b x^3\right )^m}{\left (c+d x^3\right )^2} \, dx\)
 3.45 \(\int \frac{\left (a+b x^3\right )^m}{\left (c+d x^3\right )^3} \, dx\)
 3.46 \(\int \left (a+b x^3\right )^{-1-\frac{b c}{3 b c-3 a d}} \left (c+d x^3\right )^{-1+\frac{a d}{3 b c-3 a d}} \, dx\)
 3.47 \(\int \left (a+b x^4\right ) \left (c+d x^4\right )^4 \, dx\)
 3.48 \(\int \left (a+b x^4\right ) \left (c+d x^4\right )^3 \, dx\)
 3.49 \(\int \left (a+b x^4\right ) \left (c+d x^4\right )^2 \, dx\)
 3.50 \(\int \left (a+b x^4\right ) \left (c+d x^4\right ) \, dx\)
 3.51 \(\int \frac{a+b x^4}{c+d x^4} \, dx\)
 3.52 \(\int \frac{a+b x^4}{\left (c+d x^4\right )^2} \, dx\)
 3.53 \(\int \frac{a+b x^4}{\left (c+d x^4\right )^3} \, dx\)
 3.54 \(\int \left (a+b x^4\right )^2 \left (c+d x^4\right )^4 \, dx\)
 3.55 \(\int \left (a+b x^4\right )^2 \left (c+d x^4\right )^3 \, dx\)
 3.56 \(\int \left (a+b x^4\right )^2 \left (c+d x^4\right )^2 \, dx\)
 3.57 \(\int \left (a+b x^4\right )^2 \left (c+d x^4\right ) \, dx\)
 3.58 \(\int \frac{\left (a+b x^4\right )^2}{c+d x^4} \, dx\)
 3.59 \(\int \frac{\left (a+b x^4\right )^2}{\left (c+d x^4\right )^2} \, dx\)
 3.60 \(\int \frac{\left (a+b x^4\right )^2}{\left (c+d x^4\right )^3} \, dx\)
 3.61 \(\int \frac{\left (c+d x^4\right )^4}{a+b x^4} \, dx\)
 3.62 \(\int \frac{\left (c+d x^4\right )^3}{a+b x^4} \, dx\)
 3.63 \(\int \frac{\left (c+d x^4\right )^2}{a+b x^4} \, dx\)
 3.64 \(\int \frac{c+d x^4}{a+b x^4} \, dx\)
 3.65 \(\int \frac{1}{\left (a+b x^4\right ) \left (c+d x^4\right )} \, dx\)
 3.66 \(\int \frac{1}{\left (a+b x^4\right ) \left (c+d x^4\right )^2} \, dx\)
 3.67 \(\int \frac{\left (c+d x^4\right )^5}{\left (a+b x^4\right )^2} \, dx\)
 3.68 \(\int \frac{\left (c+d x^4\right )^4}{\left (a+b x^4\right )^2} \, dx\)
 3.69 \(\int \frac{\left (c+d x^4\right )^3}{\left (a+b x^4\right )^2} \, dx\)
 3.70 \(\int \frac{\left (c+d x^4\right )^2}{\left (a+b x^4\right )^2} \, dx\)
 3.71 \(\int \frac{c+d x^4}{\left (a+b x^4\right )^2} \, dx\)
 3.72 \(\int \frac{1}{\left (a+b x^4\right )^2 \left (c+d x^4\right )} \, dx\)
 3.73 \(\int \frac{1}{\left (a+b x^4\right )^2 \left (c+d x^4\right )^2} \, dx\)
 3.74 \(\int \frac{\left (a-b x^4\right )^{5/2}}{c-d x^4} \, dx\)
 3.75 \(\int \frac{\left (a-b x^4\right )^{3/2}}{c-d x^4} \, dx\)
 3.76 \(\int \frac{\sqrt{a-b x^4}}{c-d x^4} \, dx\)
 3.77 \(\int \frac{1}{\sqrt{a-b x^4} \left (c-d x^4\right )} \, dx\)
 3.78 \(\int \frac{1}{\left (a-b x^4\right )^{3/2} \left (c-d x^4\right )} \, dx\)
 3.79 \(\int \frac{1}{\left (a-b x^4\right )^{5/2} \left (c-d x^4\right )} \, dx\)
 3.80 \(\int \frac{\left (a+b x^4\right )^{3/2}}{c+d x^4} \, dx\)
 3.81 \(\int \frac{\sqrt{a+b x^4}}{c+d x^4} \, dx\)
 3.82 \(\int \frac{1}{\sqrt{a+b x^4} \left (c+d x^4\right )} \, dx\)
 3.83 \(\int \frac{1}{\left (a+b x^4\right )^{3/2} \left (c+d x^4\right )} \, dx\)
 3.84 \(\int \frac{1}{\left (a+b x^4\right )^{5/2} \left (c+d x^4\right )} \, dx\)
 3.85 \(\int \frac{\left (a-b x^4\right )^{7/2}}{\left (c-d x^4\right )^2} \, dx\)
 3.86 \(\int \frac{\left (a-b x^4\right )^{5/2}}{\left (c-d x^4\right )^2} \, dx\)
 3.87 \(\int \frac{\left (a-b x^4\right )^{3/2}}{\left (c-d x^4\right )^2} \, dx\)
 3.88 \(\int \frac{\sqrt{a-b x^4}}{\left (c-d x^4\right )^2} \, dx\)
 3.89 \(\int \frac{1}{\sqrt{a-b x^4} \left (c-d x^4\right )^2} \, dx\)
 3.90 \(\int \frac{1}{\left (a-b x^4\right )^{3/2} \left (c-d x^4\right )^2} \, dx\)
 3.91 \(\int \frac{1}{\left (a-b x^4\right )^{5/2} \left (c-d x^4\right )^2} \, dx\)
 3.92 \(\int \frac{\sqrt{a+b x^4}}{a c-b c x^4} \, dx\)
 3.93 \(\int \frac{\sqrt{a-b x^4}}{a c+b c x^4} \, dx\)
 3.94 \(\int \frac{\left (a+b x^4\right )^{7/4}}{c+d x^4} \, dx\)
 3.95 \(\int \frac{\left (a+b x^4\right )^{3/4}}{c+d x^4} \, dx\)
 3.96 \(\int \frac{1}{\sqrt [4]{a+b x^4} \left (c+d x^4\right )} \, dx\)
 3.97 \(\int \frac{1}{\left (a+b x^4\right )^{5/4} \left (c+d x^4\right )} \, dx\)
 3.98 \(\int \frac{1}{\left (a+b x^4\right )^{9/4} \left (c+d x^4\right )} \, dx\)
 3.99 \(\int \frac{1}{\left (a+b x^4\right )^{13/4} \left (c+d x^4\right )} \, dx\)
 3.100 \(\int \frac{\left (a+b x^4\right )^{9/4}}{c+d x^4} \, dx\)
 3.101 \(\int \frac{\left (a+b x^4\right )^{5/4}}{c+d x^4} \, dx\)
 3.102 \(\int \frac{\sqrt [4]{a+b x^4}}{c+d x^4} \, dx\)
 3.103 \(\int \frac{1}{\left (a+b x^4\right )^{3/4} \left (c+d x^4\right )} \, dx\)
 3.104 \(\int \frac{1}{\left (a+b x^4\right )^{7/4} \left (c+d x^4\right )} \, dx\)
 3.105 \(\int \frac{1}{\left (a+b x^4\right )^{11/4} \left (c+d x^4\right )} \, dx\)
 3.106 \(\int \frac{\left (a+b x^4\right )^{11/4}}{\left (c+d x^4\right )^2} \, dx\)
 3.107 \(\int \frac{\left (a+b x^4\right )^{7/4}}{\left (c+d x^4\right )^2} \, dx\)
 3.108 \(\int \frac{\left (a+b x^4\right )^{3/4}}{\left (c+d x^4\right )^2} \, dx\)
 3.109 \(\int \frac{1}{\sqrt [4]{a+b x^4} \left (c+d x^4\right )^2} \, dx\)
 3.110 \(\int \frac{1}{\left (a+b x^4\right )^{5/4} \left (c+d x^4\right )^2} \, dx\)
 3.111 \(\int \frac{1}{\left (a+b x^4\right )^{9/4} \left (c+d x^4\right )^2} \, dx\)
 3.112 \(\int \frac{\left (a+b x^4\right )^{9/4}}{\left (c+d x^4\right )^2} \, dx\)
 3.113 \(\int \frac{\left (a+b x^4\right )^{5/4}}{\left (c+d x^4\right )^2} \, dx\)
 3.114 \(\int \frac{\sqrt [4]{a+b x^4}}{\left (c+d x^4\right )^2} \, dx\)
 3.115 \(\int \frac{1}{\left (a+b x^4\right )^{3/4} \left (c+d x^4\right )^2} \, dx\)
 3.116 \(\int \frac{1}{\left (a+b x^4\right )^{7/4} \left (c+d x^4\right )^2} \, dx\)
 3.117 \(\int \frac{1}{\sqrt [4]{1+x^4} \left (2+x^4\right )} \, dx\)
 3.118 \(\int \frac{1}{\left (a-(a-b) x^4\right ) \sqrt [4]{a+b x^4}} \, dx\)
 3.119 \(\int \left (a+b x^4\right )^p \left (c+d x^4\right )^q \, dx\)
 3.120 \(\int \left (a+b x^4\right )^2 \left (c+d x^4\right )^q \, dx\)
 3.121 \(\int \left (a+b x^4\right ) \left (c+d x^4\right )^q \, dx\)
 3.122 \(\int \frac{\left (c+d x^4\right )^q}{a+b x^4} \, dx\)
 3.123 \(\int \frac{\left (c+d x^4\right )^q}{\left (a+b x^4\right )^2} \, dx\)
 3.124 \(\int \frac{1}{\sqrt [5]{a+b x^5} \left (c+d x^5\right )} \, dx\)
 3.125 \(\int \sqrt{a+\frac{b}{x}} \left (c+\frac{d}{x}\right )^3 \, dx\)
 3.126 \(\int \sqrt{a+\frac{b}{x}} \left (c+\frac{d}{x}\right )^2 \, dx\)
 3.127 \(\int \sqrt{a+\frac{b}{x}} \left (c+\frac{d}{x}\right ) \, dx\)
 3.128 \(\int \sqrt{a+\frac{b}{x}} \, dx\)
 3.129 \(\int \frac{\sqrt{a+\frac{b}{x}}}{c+\frac{d}{x}} \, dx\)
 3.130 \(\int \frac{\sqrt{a+\frac{b}{x}}}{\left (c+\frac{d}{x}\right )^2} \, dx\)
 3.131 \(\int \frac{\sqrt{a+\frac{b}{x}}}{\left (c+\frac{d}{x}\right )^3} \, dx\)
 3.132 \(\int \left (a+\frac{b}{x}\right )^{3/2} \left (c+\frac{d}{x}\right )^3 \, dx\)
 3.133 \(\int \left (a+\frac{b}{x}\right )^{3/2} \left (c+\frac{d}{x}\right )^2 \, dx\)
 3.134 \(\int \left (a+\frac{b}{x}\right )^{3/2} \left (c+\frac{d}{x}\right ) \, dx\)
 3.135 \(\int \left (a+\frac{b}{x}\right )^{3/2} \, dx\)
 3.136 \(\int \frac{\left (a+\frac{b}{x}\right )^{3/2}}{c+\frac{d}{x}} \, dx\)
 3.137 \(\int \frac{\left (a+\frac{b}{x}\right )^{3/2}}{\left (c+\frac{d}{x}\right )^2} \, dx\)
 3.138 \(\int \frac{\left (a+\frac{b}{x}\right )^{3/2}}{\left (c+\frac{d}{x}\right )^3} \, dx\)
 3.139 \(\int \left (a+\frac{b}{x}\right )^{5/2} \left (c+\frac{d}{x}\right )^3 \, dx\)
 3.140 \(\int \left (a+\frac{b}{x}\right )^{5/2} \left (c+\frac{d}{x}\right )^2 \, dx\)
 3.141 \(\int \left (a+\frac{b}{x}\right )^{5/2} \left (c+\frac{d}{x}\right ) \, dx\)
 3.142 \(\int \left (a+\frac{b}{x}\right )^{5/2} \, dx\)
 3.143 \(\int \frac{\left (a+\frac{b}{x}\right )^{5/2}}{c+\frac{d}{x}} \, dx\)
 3.144 \(\int \frac{\left (a+\frac{b}{x}\right )^{5/2}}{\left (c+\frac{d}{x}\right )^2} \, dx\)
 3.145 \(\int \frac{\left (a+\frac{b}{x}\right )^{5/2}}{\left (c+\frac{d}{x}\right )^3} \, dx\)
 3.146 \(\int \frac{\left (c+\frac{d}{x}\right )^3}{\sqrt{a+\frac{b}{x}}} \, dx\)
 3.147 \(\int \frac{\left (c+\frac{d}{x}\right )^2}{\sqrt{a+\frac{b}{x}}} \, dx\)
 3.148 \(\int \frac{c+\frac{d}{x}}{\sqrt{a+\frac{b}{x}}} \, dx\)
 3.149 \(\int \frac{1}{\sqrt{a+\frac{b}{x}}} \, dx\)
 3.150 \(\int \frac{1}{\sqrt{a+\frac{b}{x}} \left (c+\frac{d}{x}\right )} \, dx\)
 3.151 \(\int \frac{1}{\sqrt{a+\frac{b}{x}} \left (c+\frac{d}{x}\right )^2} \, dx\)
 3.152 \(\int \frac{1}{\sqrt{a+\frac{b}{x}} \left (c+\frac{d}{x}\right )^3} \, dx\)
 3.153 \(\int \frac{\left (c+\frac{d}{x}\right )^3}{\left (a+\frac{b}{x}\right )^{3/2}} \, dx\)
 3.154 \(\int \frac{\left (c+\frac{d}{x}\right )^2}{\left (a+\frac{b}{x}\right )^{3/2}} \, dx\)
 3.155 \(\int \frac{c+\frac{d}{x}}{\left (a+\frac{b}{x}\right )^{3/2}} \, dx\)
 3.156 \(\int \frac{1}{\left (a+\frac{b}{x}\right )^{3/2}} \, dx\)
 3.157 \(\int \frac{1}{\left (a+\frac{b}{x}\right )^{3/2} \left (c+\frac{d}{x}\right )} \, dx\)
 3.158 \(\int \frac{1}{\left (a+\frac{b}{x}\right )^{3/2} \left (c+\frac{d}{x}\right )^2} \, dx\)
 3.159 \(\int \frac{1}{\left (a+\frac{b}{x}\right )^{3/2} \left (c+\frac{d}{x}\right )^3} \, dx\)
 3.160 \(\int \frac{\left (c+\frac{d}{x}\right )^3}{\left (a+\frac{b}{x}\right )^{5/2}} \, dx\)
 3.161 \(\int \frac{\left (c+\frac{d}{x}\right )^2}{\left (a+\frac{b}{x}\right )^{5/2}} \, dx\)
 3.162 \(\int \frac{c+\frac{d}{x}}{\left (a+\frac{b}{x}\right )^{5/2}} \, dx\)
 3.163 \(\int \frac{1}{\left (a+\frac{b}{x}\right )^{5/2}} \, dx\)
 3.164 \(\int \frac{1}{\left (a+\frac{b}{x}\right )^{5/2} \left (c+\frac{d}{x}\right )} \, dx\)
 3.165 \(\int \frac{1}{\left (a+\frac{b}{x}\right )^{5/2} \left (c+\frac{d}{x}\right )^2} \, dx\)
 3.166 \(\int \frac{1}{\left (a+\frac{b}{x}\right )^{5/2} \left (c+\frac{d}{x}\right )^3} \, dx\)
 3.167 \(\int \sqrt{a+\frac{b}{x}} \sqrt{c+\frac{d}{x}} \, dx\)
 3.168 \(\int \frac{\sqrt{a+\frac{b}{x}}}{\sqrt{c+\frac{d}{x}}} \, dx\)
 3.169 \(\int \frac{\sqrt{a+\frac{b}{x}}}{\left (c+\frac{d}{x}\right )^{3/2}} \, dx\)
 3.170 \(\int \left (a+\frac{b}{x}\right )^p \left (c+\frac{d}{x}\right )^q \, dx\)
 3.171 \(\int \frac{a+\frac{b}{x^2}}{c+\frac{d}{x^2}} \, dx\)
 3.172 \(\int \sqrt{a+\frac{b}{x^2}} \sqrt{c+\frac{d}{x^2}} \, dx\)
 3.173 \(\int \frac{\sqrt{a+\frac{b}{x^2}}}{\sqrt{c+\frac{d}{x^2}}} \, dx\)
 3.174 \(\int \frac{\sqrt{a+\frac{b}{x^2}}}{\left (c+\frac{d}{x^2}\right )^{3/2}} \, dx\)
 3.175 \(\int \left (a+\frac{b}{x^2}\right )^p \left (c+\frac{d}{x^2}\right )^q \, dx\)
 3.176 \(\int \frac{a+\frac{b}{x^3}}{c+\frac{d}{x^3}} \, dx\)
 3.177 \(\int \frac{a+b \sqrt{x}}{c+d \sqrt{x}} \, dx\)
 3.178 \(\int \frac{-1+\sqrt [3]{x}}{1+\sqrt [3]{x}} \, dx\)
 3.179 \(\int \frac{1+x^{2/3}}{-1+x^{2/3}} \, dx\)
 3.180 \(\int \frac{-16+x^{3/4}}{16+x^{3/4}} \, dx\)
 3.181 \(\int \frac{1+\frac{1}{\sqrt [3]{x}}}{-1+\frac{1}{\sqrt [3]{x}}} \, dx\)
 3.182 \(\int \left (a-b x^n\right )^{3/2} \left (a+b x^n\right )^{3/2} \, dx\)
 3.183 \(\int \sqrt{a-b x^n} \sqrt{a+b x^n} \, dx\)
 3.184 \(\int \left (a-b x^n\right )^p \left (a+b x^n\right )^p \, dx\)
 3.185 \(\int \left (a+b x^n\right ) \left (c+d x^n\right )^4 \, dx\)
 3.186 \(\int \left (a+b x^n\right ) \left (c+d x^n\right )^3 \, dx\)
 3.187 \(\int \left (a+b x^n\right ) \left (c+d x^n\right )^2 \, dx\)
 3.188 \(\int \left (a+b x^n\right ) \left (c+d x^n\right ) \, dx\)
 3.189 \(\int \frac{a+b x^n}{c+d x^n} \, dx\)
 3.190 \(\int \frac{a+b x^n}{\left (c+d x^n\right )^2} \, dx\)
 3.191 \(\int \frac{a+b x^n}{\left (c+d x^n\right )^3} \, dx\)
 3.192 \(\int \frac{a+b x^n}{\left (c+d x^n\right )^4} \, dx\)
 3.193 \(\int \left (a+b x^n\right )^2 \left (d+e x^n\right )^3 \, dx\)
 3.194 \(\int \left (a+b x^n\right )^2 \left (d+e x^n\right )^2 \, dx\)
 3.195 \(\int \left (a+b x^n\right )^2 \left (c+d x^n\right ) \, dx\)
 3.196 \(\int \frac{\left (a+b x^n\right )^2}{c+d x^n} \, dx\)
 3.197 \(\int \frac{\left (a+b x^n\right )^2}{\left (c+d x^n\right )^2} \, dx\)
 3.198 \(\int \frac{\left (a+b x^n\right )^2}{\left (c+d x^n\right )^3} \, dx\)
 3.199 \(\int \frac{\left (c+d x^n\right )^4}{a+b x^n} \, dx\)
 3.200 \(\int \frac{\left (c+d x^n\right )^3}{a+b x^n} \, dx\)
 3.201 \(\int \frac{\left (c+d x^n\right )^2}{a+b x^n} \, dx\)
 3.202 \(\int \frac{c+d x^n}{a+b x^n} \, dx\)
 3.203 \(\int \frac{1}{\left (a+b x^n\right ) \left (c+d x^n\right )} \, dx\)
 3.204 \(\int \frac{1}{\left (a+b x^n\right ) \left (c+d x^n\right )^2} \, dx\)
 3.205 \(\int \frac{1}{\left (a+b x^n\right ) \left (c+d x^n\right )^3} \, dx\)
 3.206 \(\int \frac{\left (c+d x^n\right )^4}{\left (a+b x^n\right )^2} \, dx\)
 3.207 \(\int \frac{\left (c+d x^n\right )^3}{\left (a+b x^n\right )^2} \, dx\)
 3.208 \(\int \frac{\left (c+d x^n\right )^2}{\left (a+b x^n\right )^2} \, dx\)
 3.209 \(\int \frac{c+d x^n}{\left (a+b x^n\right )^2} \, dx\)
 3.210 \(\int \frac{1}{\left (a+b x^n\right )^2 \left (c+d x^n\right )} \, dx\)
 3.211 \(\int \frac{1}{\left (a+b x^n\right )^2 \left (c+d x^n\right )^2} \, dx\)
 3.212 \(\int \frac{1}{\left (a+b x^n\right )^2 \left (c+d x^n\right )^3} \, dx\)
 3.213 \(\int \left (a+b x^n\right )^p \left (c+d x^n\right )^q \, dx\)
 3.214 \(\int \left (a+b x^n\right )^p \left (c+d x^n\right )^3 \, dx\)
 3.215 \(\int \left (a+b x^n\right )^p \left (c+d x^n\right )^2 \, dx\)
 3.216 \(\int \left (a+b x^n\right )^p \left (c+d x^n\right ) \, dx\)
 3.217 \(\int \left (a+b x^n\right )^p \, dx\)
 3.218 \(\int \frac{\left (a+b x^n\right )^p}{c+d x^n} \, dx\)
 3.219 \(\int \frac{\left (a+b x^n\right )^p}{\left (c+d x^n\right )^2} \, dx\)
 3.220 \(\int \frac{\left (a+b x^n\right )^p}{\left (c+d x^n\right )^3} \, dx\)
 3.221 \(\int \left (a+b x^n\right )^p \left (c+d x^n\right )^{-1-\frac{1}{n}-p} \, dx\)
 3.222 \(\int \left (a+b x^n\right )^3 \left (c+d x^n\right )^{-4-\frac{1}{n}} \, dx\)
 3.223 \(\int \left (a+b x^n\right )^2 \left (c+d x^n\right )^{-3-\frac{1}{n}} \, dx\)
 3.224 \(\int \left (a+b x^n\right ) \left (c+d x^n\right )^{-2-\frac{1}{n}} \, dx\)
 3.225 \(\int \left (c+d x^n\right )^{-1-\frac{1}{n}} \, dx\)
 3.226 \(\int \frac{\left (c+d x^n\right )^{-1/n}}{a+b x^n} \, dx\)
 3.227 \(\int \frac{\left (c+d x^n\right )^{1-\frac{1}{n}}}{\left (a+b x^n\right )^2} \, dx\)
 3.228 \(\int \frac{\left (c+d x^n\right )^{2-\frac{1}{n}}}{\left (a+b x^n\right )^3} \, dx\)
 3.229 \(\int \left (a+b x^n\right )^p \left (c+d x^n\right )^{-2-\frac{1}{n}-p} \, dx\)
 3.230 \(\int \left (a+b x^n\right )^{\frac{a d n-b c (1+n)}{(b c-a d) n}} \left (c+d x^n\right )^{\frac{a d-b c n+a d n}{b c n-a d n}} \, dx\)
 3.231 \(\int \left (a+b x^n\right )^2 \left (c+d x^n\right )^{-4-\frac{1}{n}} \, dx\)
 3.232 \(\int \left (a+b x^n\right ) \left (c+d x^n\right )^{-3-\frac{1}{n}} \, dx\)
 3.233 \(\int \left (c+d x^n\right )^{-2-\frac{1}{n}} \, dx\)
 3.234 \(\int \frac{\left (c+d x^n\right )^{-1-\frac{1}{n}}}{a+b x^n} \, dx\)
 3.235 \(\int \frac{\left (c+d x^n\right )^{-1/n}}{\left (a+b x^n\right )^2} \, dx\)
 3.236 \(\int \frac{\left (c+d x^n\right )^{1-\frac{1}{n}}}{\left (a+b x^n\right )^3} \, dx\)
 3.237 \(\int \frac{\left (c+d x^n\right )^{2-\frac{1}{n}}}{\left (a+b x^n\right )^4} \, dx\)
 3.238 \(\int x^5 \sqrt{-c+d x} \sqrt{c+d x} \left (a+b x^2\right ) \, dx\)
 3.239 \(\int x^3 \sqrt{-c+d x} \sqrt{c+d x} \left (a+b x^2\right ) \, dx\)
 3.240 \(\int x \sqrt{-c+d x} \sqrt{c+d x} \left (a+b x^2\right ) \, dx\)
 3.241 \(\int \frac{\sqrt{-c+d x} \sqrt{c+d x} \left (a+b x^2\right )}{x} \, dx\)
 3.242 \(\int \frac{\sqrt{-c+d x} \sqrt{c+d x} \left (a+b x^2\right )}{x^3} \, dx\)
 3.243 \(\int \frac{\sqrt{-c+d x} \sqrt{c+d x} \left (a+b x^2\right )}{x^5} \, dx\)
 3.244 \(\int x^4 \sqrt{-c+d x} \sqrt{c+d x} \left (a+b x^2\right ) \, dx\)
 3.245 \(\int x^2 \sqrt{-c+d x} \sqrt{c+d x} \left (a+b x^2\right ) \, dx\)
 3.246 \(\int \sqrt{-c+d x} \sqrt{c+d x} \left (a+b x^2\right ) \, dx\)
 3.247 \(\int \frac{\sqrt{-c+d x} \sqrt{c+d x} \left (a+b x^2\right )}{x^2} \, dx\)
 3.248 \(\int \frac{\sqrt{-c+d x} \sqrt{c+d x} \left (a+b x^2\right )}{x^4} \, dx\)
 3.249 \(\int \frac{x^4 \left (a+b x^2\right )}{\sqrt{-1+c x} \sqrt{1+c x}} \, dx\)
 3.250 \(\int \frac{x^3 \left (a+b x^2\right )}{\sqrt{-1+c x} \sqrt{1+c x}} \, dx\)
 3.251 \(\int \frac{x^2 \left (a+b x^2\right )}{\sqrt{-1+c x} \sqrt{1+c x}} \, dx\)
 3.252 \(\int \frac{x \left (a+b x^2\right )}{\sqrt{-1+c x} \sqrt{1+c x}} \, dx\)
 3.253 \(\int \frac{a+b x^2}{\sqrt{-1+c x} \sqrt{1+c x}} \, dx\)
 3.254 \(\int \frac{a+b x^2}{x \sqrt{-1+c x} \sqrt{1+c x}} \, dx\)
 3.255 \(\int \frac{a+b x^2}{x^2 \sqrt{-1+c x} \sqrt{1+c x}} \, dx\)
 3.256 \(\int \frac{a+b x^2}{x^3 \sqrt{-1+c x} \sqrt{1+c x}} \, dx\)
 3.257 \(\int \frac{a+b x^2}{x^4 \sqrt{-1+c x} \sqrt{1+c x}} \, dx\)
 3.258 \(\int \frac{a+b x^2}{x^5 \sqrt{-1+c x} \sqrt{1+c x}} \, dx\)
 3.259 \(\int \frac{x^4 \left (a+b x^2\right )}{\sqrt{-c+d x} \sqrt{c+d x}} \, dx\)
 3.260 \(\int \frac{x^3 \left (a+b x^2\right )}{\sqrt{-c+d x} \sqrt{c+d x}} \, dx\)
 3.261 \(\int \frac{x^2 \left (a+b x^2\right )}{\sqrt{-c+d x} \sqrt{c+d x}} \, dx\)
 3.262 \(\int \frac{x \left (a+b x^2\right )}{\sqrt{-c+d x} \sqrt{c+d x}} \, dx\)
 3.263 \(\int \frac{a+b x^2}{\sqrt{-c+d x} \sqrt{c+d x}} \, dx\)
 3.264 \(\int \frac{a+b x^2}{x \sqrt{-c+d x} \sqrt{c+d x}} \, dx\)
 3.265 \(\int \frac{a+b x^2}{x^2 \sqrt{-c+d x} \sqrt{c+d x}} \, dx\)
 3.266 \(\int \frac{a+b x^2}{x^3 \sqrt{-c+d x} \sqrt{c+d x}} \, dx\)
 3.267 \(\int \frac{a+b x^2}{x^4 \sqrt{-c+d x} \sqrt{c+d x}} \, dx\)
 3.268 \(\int \frac{a+b x^2}{x^5 \sqrt{-c+d x} \sqrt{c+d x}} \, dx\)
 3.269 \(\int \frac{x^4 \left (a+b x^2\right )}{(-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
 3.270 \(\int \frac{x^3 \left (a+b x^2\right )}{(-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
 3.271 \(\int \frac{x^2 \left (a+b x^2\right )}{(-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
 3.272 \(\int \frac{x \left (a+b x^2\right )}{(-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
 3.273 \(\int \frac{a+b x^2}{(-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
 3.274 \(\int \frac{a+b x^2}{x (-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
 3.275 \(\int \frac{a+b x^2}{x^2 (-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
 3.276 \(\int \frac{a+b x^2}{x^3 (-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
 3.277 \(\int \frac{a+b x^2}{x^4 (-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
 3.278 \(\int \frac{a+b x^2}{x^5 (-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
 3.279 \(\int \frac{1+c^2 x^2}{x \sqrt{-1+c x} \sqrt{1+c x}} \, dx\)
 3.280 \(\int \frac{x^{-\frac{2 b^2 c+a^2 d}{b^2 c+a^2 d}} \left (c+d x^2\right )}{\sqrt{-a+b x} \sqrt{a+b x}} \, dx\)
 3.281 \(\int \frac{1}{\sqrt{-1-\sqrt{x}} \sqrt{-1+\sqrt{x}} \sqrt{1+x}} \, dx\)
 3.282 \(\int \frac{1}{\sqrt{a-b \sqrt{x}} \sqrt{a+b \sqrt{x}} \sqrt{a^2+b^2 x}} \, dx\)
 3.283 \(\int \left (a-b x^n\right )^p \left (a+b x^n\right )^p \left (c+d x^{2 n}\right )^q \, dx\)
 3.284 \(\int \left (a-b x^n\right )^p \left (a+b x^n\right )^p \left (a^2+b^2 x^{2 n}\right )^p \, dx\)
 3.285 \(\int \frac{\left (c+d x^{2 n}\right )^p}{\left (a-b x^n\right ) \left (a+b x^n\right )} \, dx\)
 3.286 \(\int \left (a-b x^{n/2}\right )^p \left (a+b x^{n/2}\right )^p \left (\frac{a^2 d (1+p)}{b^2 \left (1+\frac{-1-2 n-n p}{n}\right )}+d x^n\right )^{\frac{-1-2 n-n p}{n}} \, dx\)