3.1 \(\int \left (d+e x^3\right )^5 \left (a+b x^3+c x^6\right ) \, dx\)
 3.2 \(\int \left (d+e x^3\right )^4 \left (a+b x^3+c x^6\right ) \, dx\)
 3.3 \(\int \left (d+e x^3\right )^3 \left (a+b x^3+c x^6\right ) \, dx\)
 3.4 \(\int \left (d+e x^3\right )^2 \left (a+b x^3+c x^6\right ) \, dx\)
 3.5 \(\int \left (d+e x^3\right ) \left (a+b x^3+c x^6\right ) \, dx\)
 3.6 \(\int \frac{a+b x^3+c x^6}{d+e x^3} \, dx\)
 3.7 \(\int \frac{a+b x^3+c x^6}{\left (d+e x^3\right )^2} \, dx\)
 3.8 \(\int \frac{a+b x^3+c x^6}{\left (d+e x^3\right )^3} \, dx\)
 3.9 \(\int \frac{x^8 \left (d+e x^3\right )}{a+b x^3+c x^6} \, dx\)
 3.10 \(\int \frac{x^5 \left (d+e x^3\right )}{a+b x^3+c x^6} \, dx\)
 3.11 \(\int \frac{x^2 \left (d+e x^3\right )}{a+b x^3+c x^6} \, dx\)
 3.12 \(\int \frac{d+e x^3}{x \left (a+b x^3+c x^6\right )} \, dx\)
 3.13 \(\int \frac{d+e x^3}{x^4 \left (a+b x^3+c x^6\right )} \, dx\)
 3.14 \(\int \frac{x^4 \left (d+e x^3\right )}{a+b x^3+c x^6} \, dx\)
 3.15 \(\int \frac{x^3 \left (d+e x^3\right )}{a+b x^3+c x^6} \, dx\)
 3.16 \(\int \frac{x \left (d+e x^3\right )}{a+b x^3+c x^6} \, dx\)
 3.17 \(\int \frac{d+e x^3}{a+b x^3+c x^6} \, dx\)
 3.18 \(\int \frac{d+e x^3}{x^2 \left (a+b x^3+c x^6\right )} \, dx\)
 3.19 \(\int \frac{d+e x^3}{x^3 \left (a+b x^3+c x^6\right )} \, dx\)
 3.20 \(\int \frac{x^8 \left (1-x^3\right )}{1-x^3+x^6} \, dx\)
 3.21 \(\int \frac{x^5 \left (1-x^3\right )}{1-x^3+x^6} \, dx\)
 3.22 \(\int \frac{x^2 \left (1-x^3\right )}{1-x^3+x^6} \, dx\)
 3.23 \(\int \frac{1-x^3}{x \left (1-x^3+x^6\right )} \, dx\)
 3.24 \(\int \frac{1-x^3}{x^4 \left (1-x^3+x^6\right )} \, dx\)
 3.25 \(\int \frac{x^6 \left (1-x^3\right )}{1-x^3+x^6} \, dx\)
 3.26 \(\int \frac{x^4 \left (1-x^3\right )}{1-x^3+x^6} \, dx\)
 3.27 \(\int \frac{x^3 \left (1-x^3\right )}{1-x^3+x^6} \, dx\)
 3.28 \(\int \frac{x \left (1-x^3\right )}{1-x^3+x^6} \, dx\)
 3.29 \(\int \frac{1-x^3}{1-x^3+x^6} \, dx\)
 3.30 \(\int \frac{1-x^3}{x^2 \left (1-x^3+x^6\right )} \, dx\)
 3.31 \(\int \frac{1-x^3}{x^3 \left (1-x^3+x^6\right )} \, dx\)
 3.32 \(\int \frac{x^2 \left (-2+x^3\right )}{1-x^3+x^6} \, dx\)
 3.33 \(\int \frac{1+x^3}{x \left (1-x^3+x^6\right )} \, dx\)
 3.34 \(\int \frac{1+x^3}{x-x^4+x^7} \, dx\)
 3.35 \(\int \left (d+e x^3\right )^{5/2} \left (a+b x^3+c x^6\right ) \, dx\)
 3.36 \(\int \left (d+e x^3\right )^{3/2} \left (a+b x^3+c x^6\right ) \, dx\)
 3.37 \(\int \sqrt{d+e x^3} \left (a+b x^3+c x^6\right ) \, dx\)
 3.38 \(\int \frac{a+b x^3+c x^6}{\sqrt{d+e x^3}} \, dx\)
 3.39 \(\int \frac{a+b x^3+c x^6}{\left (d+e x^3\right )^{3/2}} \, dx\)
 3.40 \(\int \frac{a+b x^3+c x^6}{\left (d+e x^3\right )^{5/2}} \, dx\)
 3.41 \(\int \frac{a+b x^3+c x^6}{\left (d+e x^3\right )^{7/2}} \, dx\)
 3.42 \(\int \frac{a+b x^3+c x^6}{\left (d+e x^3\right )^{9/2}} \, dx\)
 3.43 \(\int \frac{x^4 \left (d+e x^4\right )}{a+b x^4+c x^8} \, dx\)
 3.44 \(\int \frac{x^3 \left (d+e x^4\right )}{a+b x^4+c x^8} \, dx\)
 3.45 \(\int \frac{x^2 \left (d+e x^4\right )}{a+b x^4+c x^8} \, dx\)
 3.46 \(\int \frac{x \left (d+e x^4\right )}{a+b x^4+c x^8} \, dx\)
 3.47 \(\int \frac{d+e x^4}{a+b x^4+c x^8} \, dx\)
 3.48 \(\int \frac{d+e x^4}{x \left (a+b x^4+c x^8\right )} \, dx\)
 3.49 \(\int \frac{d+e x^4}{x^2 \left (a+b x^4+c x^8\right )} \, dx\)
 3.50 \(\int \frac{d+e x^4}{x^3 \left (a+b x^4+c x^8\right )} \, dx\)
 3.51 \(\int \frac{d+e x^4}{x^4 \left (a+b x^4+c x^8\right )} \, dx\)
 3.52 \(\int \frac{x^4 \left (1-x^4\right )}{1-x^4+x^8} \, dx\)
 3.53 \(\int \frac{x^3 \left (1-x^4\right )}{1-x^4+x^8} \, dx\)
 3.54 \(\int \frac{x^2 \left (1-x^4\right )}{1-x^4+x^8} \, dx\)
 3.55 \(\int \frac{x \left (1-x^4\right )}{1-x^4+x^8} \, dx\)
 3.56 \(\int \frac{1-x^4}{1-x^4+x^8} \, dx\)
 3.57 \(\int \frac{1-x^4}{x \left (1-x^4+x^8\right )} \, dx\)
 3.58 \(\int \frac{1-x^4}{x^2 \left (1-x^4+x^8\right )} \, dx\)
 3.59 \(\int \frac{1-x^4}{x^3 \left (1-x^4+x^8\right )} \, dx\)
 3.60 \(\int \frac{1-x^4}{x^4 \left (1-x^4+x^8\right )} \, dx\)
 3.61 \(\int \frac{x^3}{\left (a+\frac{c}{x^2}+\frac{b}{x}\right ) (d+e x)} \, dx\)
 3.62 \(\int \frac{x^2}{\left (a+\frac{c}{x^2}+\frac{b}{x}\right ) (d+e x)} \, dx\)
 3.63 \(\int \frac{x}{\left (a+\frac{c}{x^2}+\frac{b}{x}\right ) (d+e x)} \, dx\)
 3.64 \(\int \frac{1}{\left (a+\frac{c}{x^2}+\frac{b}{x}\right ) (d+e x)} \, dx\)
 3.65 \(\int \frac{1}{\left (a+\frac{c}{x^2}+\frac{b}{x}\right ) x (d+e x)} \, dx\)
 3.66 \(\int \frac{1}{\left (a+\frac{c}{x^2}+\frac{b}{x}\right ) x^2 (d+e x)} \, dx\)
 3.67 \(\int \frac{1}{\left (a+\frac{c}{x^2}+\frac{b}{x}\right ) x^3 (d+e x)} \, dx\)
 3.68 \(\int \frac{1}{\left (a+\frac{c}{x^2}+\frac{b}{x}\right ) x^4 (d+e x)} \, dx\)
 3.69 \(\int \frac{1}{\left (a+\frac{c}{x^2}+\frac{b}{x}\right ) x^5 (d+e x)} \, dx\)
 3.70 \(\int \frac{x^3}{\left (a+\frac{c}{x^2}+\frac{b}{x}\right ) (d+e x)^2} \, dx\)
 3.71 \(\int \frac{x^2}{\left (a+\frac{c}{x^2}+\frac{b}{x}\right ) (d+e x)^2} \, dx\)
 3.72 \(\int \frac{x}{\left (a+\frac{c}{x^2}+\frac{b}{x}\right ) (d+e x)^2} \, dx\)
 3.73 \(\int \frac{1}{\left (a+\frac{c}{x^2}+\frac{b}{x}\right ) (d+e x)^2} \, dx\)
 3.74 \(\int \frac{1}{\left (a+\frac{c}{x^2}+\frac{b}{x}\right ) x (d+e x)^2} \, dx\)
 3.75 \(\int \frac{1}{\left (a+\frac{c}{x^2}+\frac{b}{x}\right ) x^2 (d+e x)^2} \, dx\)
 3.76 \(\int \frac{1}{\left (a+\frac{c}{x^2}+\frac{b}{x}\right ) x^3 (d+e x)^2} \, dx\)
 3.77 \(\int \frac{1}{\left (a+\frac{c}{x^2}+\frac{b}{x}\right ) x^4 (d+e x)^2} \, dx\)
 3.78 \(\int \frac{1}{\left (a+\frac{c}{x^2}+\frac{b}{x}\right ) x^5 (d+e x)^2} \, dx\)
 3.79 \(\int \sqrt{a+\frac{c}{x^2}+\frac{b}{x}} x^4 \sqrt{d+e x} \, dx\)
 3.80 \(\int \sqrt{a+\frac{c}{x^2}+\frac{b}{x}} x^3 \sqrt{d+e x} \, dx\)
 3.81 \(\int \sqrt{a+\frac{c}{x^2}+\frac{b}{x}} x^2 \sqrt{d+e x} \, dx\)
 3.82 \(\int \sqrt{a+\frac{c}{x^2}+\frac{b}{x}} x \sqrt{d+e x} \, dx\)
 3.83 \(\int \sqrt{a+\frac{c}{x^2}+\frac{b}{x}} \sqrt{d+e x} \, dx\)
 3.84 \(\int \frac{\sqrt{a+\frac{c}{x^2}+\frac{b}{x}} \sqrt{d+e x}}{x} \, dx\)
 3.85 \(\int \frac{\sqrt{a+\frac{c}{x^2}+\frac{b}{x}} \sqrt{d+e x}}{x^2} \, dx\)
 3.86 \(\int (f x)^m \left (d+e x^n\right )^q \left (a+c x^{2 n}\right )^p \, dx\)
 3.87 \(\int (f x)^m \left (d+e x^n\right )^3 \left (a+c x^{2 n}\right )^p \, dx\)
 3.88 \(\int (f x)^m \left (d+e x^n\right )^2 \left (a+c x^{2 n}\right )^p \, dx\)
 3.89 \(\int (f x)^m \left (d+e x^n\right ) \left (a+c x^{2 n}\right )^p \, dx\)
 3.90 \(\int \frac{(f x)^m \left (a+c x^{2 n}\right )^p}{d+e x^n} \, dx\)
 3.91 \(\int \frac{(f x)^m \left (a+c x^{2 n}\right )^p}{\left (d+e x^n\right )^2} \, dx\)
 3.92 \(\int \frac{(f x)^m \left (a+c x^{2 n}\right )^p}{\left (d+e x^n\right )^3} \, dx\)
 3.93 \(\int (b+2 c x) \left (a+b x+c x^2\right )^{13} \, dx\)
 3.94 \(\int x \left (b+2 c x^2\right ) \left (a+b x^2+c x^4\right )^{13} \, dx\)
 3.95 \(\int x^2 \left (b+2 c x^3\right ) \left (a+b x^3+c x^6\right )^{13} \, dx\)
 3.96 \(\int x^{-1+n} \left (b+2 c x^n\right ) \left (a+b x^n+c x^{2 n}\right )^{13} \, dx\)
 3.97 \(\int (b+2 c x) \left (-a+b x+c x^2\right )^{13} \, dx\)
 3.98 \(\int x \left (b+2 c x^2\right ) \left (-a+b x^2+c x^4\right )^{13} \, dx\)
 3.99 \(\int x^2 \left (b+2 c x^3\right ) \left (-a+b x^3+c x^6\right )^{13} \, dx\)
 3.100 \(\int x^{-1+n} \left (b+2 c x^n\right ) \left (-a+b x^n+c x^{2 n}\right )^{13} \, dx\)
 3.101 \(\int (b+2 c x) \left (b x+c x^2\right )^{13} \, dx\)
 3.102 \(\int x \left (b+2 c x^2\right ) \left (b x^2+c x^4\right )^{13} \, dx\)
 3.103 \(\int x^2 \left (b+2 c x^3\right ) \left (b x^3+c x^6\right )^{13} \, dx\)
 3.104 \(\int x^{-1+n} \left (b+2 c x^n\right ) \left (b x^n+c x^{2 n}\right )^{13} \, dx\)
 3.105 \(\int \frac{b+2 c x}{a+b x+c x^2} \, dx\)
 3.106 \(\int \frac{x \left (b+2 c x^2\right )}{a+b x^2+c x^4} \, dx\)
 3.107 \(\int \frac{x^2 \left (b+2 c x^3\right )}{a+b x^3+c x^6} \, dx\)
 3.108 \(\int \frac{x^{-1+n} \left (b+2 c x^n\right )}{a+b x^n+c x^{2 n}} \, dx\)
 3.109 \(\int \frac{b+2 c x}{\left (a+b x+c x^2\right )^8} \, dx\)
 3.110 \(\int \frac{x \left (b+2 c x^2\right )}{\left (a+b x^2+c x^4\right )^8} \, dx\)
 3.111 \(\int \frac{x^2 \left (b+2 c x^3\right )}{\left (a+b x^3+c x^6\right )^8} \, dx\)
 3.112 \(\int \frac{x^{-1+n} \left (b+2 c x^n\right )}{\left (a+b x^n+c x^{2 n}\right )^8} \, dx\)
 3.113 \(\int \frac{b+2 c x}{-a+b x+c x^2} \, dx\)
 3.114 \(\int \frac{x \left (b+2 c x^2\right )}{-a+b x^2+c x^4} \, dx\)
 3.115 \(\int \frac{x^2 \left (b+2 c x^3\right )}{-a+b x^3+c x^6} \, dx\)
 3.116 \(\int \frac{x^{-1+n} \left (b+2 c x^n\right )}{-a+b x^n+c x^{2 n}} \, dx\)
 3.117 \(\int \frac{b+2 c x}{\left (-a+b x+c x^2\right )^8} \, dx\)
 3.118 \(\int \frac{x \left (b+2 c x^2\right )}{\left (-a+b x^2+c x^4\right )^8} \, dx\)
 3.119 \(\int \frac{x^2 \left (b+2 c x^3\right )}{\left (-a+b x^3+c x^6\right )^8} \, dx\)
 3.120 \(\int \frac{x^{-1+n} \left (b+2 c x^n\right )}{\left (-a+b x^n+c x^{2 n}\right )^8} \, dx\)
 3.121 \(\int \frac{b+2 c x}{b x+c x^2} \, dx\)
 3.122 \(\int \frac{x \left (b+2 c x^2\right )}{b x^2+c x^4} \, dx\)
 3.123 \(\int \frac{x^2 \left (b+2 c x^3\right )}{b x^3+c x^6} \, dx\)
 3.124 \(\int \frac{x^{-1+n} \left (b+2 c x^n\right )}{b x^n+c x^{2 n}} \, dx\)
 3.125 \(\int \frac{b+2 c x}{\left (b x+c x^2\right )^8} \, dx\)
 3.126 \(\int \frac{x \left (b+2 c x^2\right )}{\left (b x^2+c x^4\right )^8} \, dx\)
 3.127 \(\int \frac{x^2 \left (b+2 c x^3\right )}{\left (b x^3+c x^6\right )^8} \, dx\)
 3.128 \(\int \frac{x^{-1+n} \left (b+2 c x^n\right )}{\left (b x^n+c x^{2 n}\right )^8} \, dx\)
 3.129 \(\int (b+2 c x) \left (a+b x+c x^2\right )^p \, dx\)
 3.130 \(\int x \left (b+2 c x^2\right ) \left (a+b x^2+c x^4\right )^p \, dx\)
 3.131 \(\int x^2 \left (b+2 c x^3\right ) \left (a+b x^3+c x^6\right )^p \, dx\)
 3.132 \(\int x^{-1+n} \left (b+2 c x^n\right ) \left (a+b x^n+c x^{2 n}\right )^p \, dx\)
 3.133 \(\int (b+2 c x) \left (-a+b x+c x^2\right )^p \, dx\)
 3.134 \(\int x \left (b+2 c x^2\right ) \left (-a+b x^2+c x^4\right )^p \, dx\)
 3.135 \(\int x^2 \left (b+2 c x^3\right ) \left (-a+b x^3+c x^6\right )^p \, dx\)
 3.136 \(\int x^{-1+n} \left (b+2 c x^n\right ) \left (-a+b x^n+c x^{2 n}\right )^p \, dx\)
 3.137 \(\int (b+2 c x) \left (b x+c x^2\right )^p \, dx\)
 3.138 \(\int x \left (b+2 c x^2\right ) \left (b x^2+c x^4\right )^p \, dx\)
 3.139 \(\int x^2 \left (b+2 c x^3\right ) \left (b x^3+c x^6\right )^p \, dx\)
 3.140 \(\int x^{-1+n} \left (b+2 c x^n\right ) \left (b x^n+c x^{2 n}\right )^p \, dx\)
 3.141 \(\int \frac{(f x)^m \left (d+e x^n\right )}{a+b x^n+c x^{2 n}} \, dx\)
 3.142 \(\int \frac{(f x)^m \left (d+e x^n\right )}{\left (a+b x^n+c x^{2 n}\right )^2} \, dx\)
 3.143 \(\int \frac{(f x)^m \left (d+e x^n\right )}{\left (a+b x^n+c x^{2 n}\right )^3} \, dx\)
 3.144 \(\int \frac{\sqrt [3]{c}-2 \sqrt [3]{d} \sqrt [3]{x}}{c \sqrt [3]{d} x^{2/3}-c^{2/3} d^{2/3} x+\sqrt [3]{c} d x^{4/3}} \, dx\)
 3.145 \(\int \frac{(f x)^m \left (d+e x^n\right )^q}{a+b x^n+c x^{2 n}} \, dx\)
 3.146 \(\int \frac{x^2 \left (d+e x^n\right )^q}{a+b x^n+c x^{2 n}} \, dx\)
 3.147 \(\int \frac{x \left (d+e x^n\right )^q}{a+b x^n+c x^{2 n}} \, dx\)
 3.148 \(\int \frac{\left (d+e x^n\right )^q}{a+b x^n+c x^{2 n}} \, dx\)
 3.149 \(\int \frac{\left (d+e x^n\right )^q}{x \left (a+b x^n+c x^{2 n}\right )} \, dx\)
 3.150 \(\int \frac{\left (d+e x^n\right )^q}{x^2 \left (a+b x^n+c x^{2 n}\right )} \, dx\)
 3.151 \(\int \frac{\left (d+e x^n\right )^q}{x^3 \left (a+b x^n+c x^{2 n}\right )} \, dx\)
 3.152 \(\int (f x)^m \left (d+e x^n\right )^2 \left (a+b x^n+c x^{2 n}\right )^p \, dx\)
 3.153 \(\int (f x)^m \left (d+e x^n\right ) \left (a+b x^n+c x^{2 n}\right )^p \, dx\)
 3.154 \(\int (f x)^m \left (a+b x^n+c x^{2 n}\right )^p \, dx\)
 3.155 \(\int \frac{(f x)^m \left (a+b x^n+c x^{2 n}\right )^p}{d+e x^n} \, dx\)
 3.156 \(\int \frac{(f x)^m \left (a+b x^n+c x^{2 n}\right )^p}{\left (d+e x^n\right )^2} \, dx\)