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