3.1 \(\int x^2 (A+B x+C x^2) (a+b x^2+c x^4) \, dx\)
 3.2 \(\int x (A+B x+C x^2) (a+b x^2+c x^4) \, dx\)
 3.3 \(\int (A+B x+C x^2) (a+b x^2+c x^4) \, dx\)
 3.4 \(\int \frac{(A+B x+C x^2) (a+b x^2+c x^4)}{x} \, dx\)
 3.5 \(\int \frac{(A+B x+C x^2) (a+b x^2+c x^4)}{x^2} \, dx\)
 3.6 \(\int \frac{(A+B x+C x^2) (a+b x^2+c x^4)}{x^3} \, dx\)
 3.7 \(\int \frac{(A+B x+C x^2) (a+b x^2+c x^4)}{x^4} \, dx\)
 3.8 \(\int \frac{(A+B x+C x^2) (a+b x^2+c x^4)}{x^5} \, dx\)
 3.9 \(\int \frac{(A+B x+C x^2) (a+b x^2+c x^4)}{x^6} \, dx\)
 3.10 \(\int \frac{(A+B x+C x^2) (a+b x^2+c x^4)}{x^7} \, dx\)
 3.11 \(\int x^2 (A+B x+C x^2) (a+b x^2+c x^4)^2 \, dx\)
 3.12 \(\int x (A+B x+C x^2) (a+b x^2+c x^4)^2 \, dx\)
 3.13 \(\int (A+B x+C x^2) (a+b x^2+c x^4)^2 \, dx\)
 3.14 \(\int \frac{(A+B x+C x^2) (a+b x^2+c x^4)^2}{x} \, dx\)
 3.15 \(\int \frac{(A+B x+C x^2) (a+b x^2+c x^4)^2}{x^2} \, dx\)
 3.16 \(\int \frac{(A+B x+C x^2) (a+b x^2+c x^4)^2}{x^3} \, dx\)
 3.17 \(\int \frac{(A+B x+C x^2) (a+b x^2+c x^4)^2}{x^4} \, dx\)
 3.18 \(\int \frac{(A+B x+C x^2) (a+b x^2+c x^4)^2}{x^5} \, dx\)
 3.19 \(\int \frac{(A+B x+C x^2) (a+b x^2+c x^4)^2}{x^6} \, dx\)
 3.20 \(\int \frac{(A+B x+C x^2) (a+b x^2+c x^4)^2}{x^7} \, dx\)
 3.21 \(\int \frac{x^4 (A+B x+C x^2)}{a+b x^2+c x^4} \, dx\)
 3.22 \(\int \frac{x^3 (A+B x+C x^2)}{a+b x^2+c x^4} \, dx\)
 3.23 \(\int \frac{x^2 (A+B x+C x^2)}{a+b x^2+c x^4} \, dx\)
 3.24 \(\int \frac{x (A+B x+C x^2)}{a+b x^2+c x^4} \, dx\)
 3.25 \(\int \frac{A+B x+C x^2}{a+b x^2+c x^4} \, dx\)
 3.26 \(\int \frac{A+B x+C x^2}{x (a+b x^2+c x^4)} \, dx\)
 3.27 \(\int \frac{A+B x+C x^2}{x^2 (a+b x^2+c x^4)} \, dx\)
 3.28 \(\int \frac{A+B x+C x^2}{x^3 (a+b x^2+c x^4)} \, dx\)
 3.29 \(\int \frac{x^4 (A+B x+C x^2)}{(a+b x^2+c x^4)^2} \, dx\)
 3.30 \(\int \frac{x^3 (A+B x+C x^2)}{(a+b x^2+c x^4)^2} \, dx\)
 3.31 \(\int \frac{x^2 (A+B x+C x^2)}{(a+b x^2+c x^4)^2} \, dx\)
 3.32 \(\int \frac{x (A+B x+C x^2)}{(a+b x^2+c x^4)^2} \, dx\)
 3.33 \(\int \frac{A+B x+C x^2}{(a+b x^2+c x^4)^2} \, dx\)
 3.34 \(\int \frac{A+B x+C x^2}{x (a+b x^2+c x^4)^2} \, dx\)
 3.35 \(\int \frac{A+B x+C x^2}{x^2 (a+b x^2+c x^4)^2} \, dx\)
 3.36 \(\int \frac{A+B x+C x^2}{x^3 (a+b x^2+c x^4)^2} \, dx\)
 3.37 \(\int (d x)^m (A+B x+C x^2) (a+b x^2+c x^4)^3 \, dx\)
 3.38 \(\int (d x)^m (A+B x+C x^2) (a+b x^2+c x^4)^2 \, dx\)
 3.39 \(\int (d x)^m (A+B x+C x^2) (a+b x^2+c x^4) \, dx\)
 3.40 \(\int \frac{(d x)^m (A+B x+C x^2)}{a+b x^2+c x^4} \, dx\)
 3.41 \(\int \frac{(d x)^m (A+B x+C x^2)}{(a+b x^2+c x^4)^2} \, dx\)
 3.42 \(\int \frac{x^2 (A+B x+C x^2)}{(a+b x^2+c x^4)^2} \, dx\)
 3.43 \(\int \frac{x (A x+B x^2+C x^3)}{(a+b x^2+c x^4)^2} \, dx\)
 3.44 \(\int \frac{A x^2+B x^3+C x^4}{(a+b x^2+c x^4)^2} \, dx\)
 3.45 \(\int \frac{A x^3+B x^4+C x^5}{x (a+b x^2+c x^4)^2} \, dx\)
 3.46 \(\int \frac{A x^4+B x^5+C x^6}{x^2 (a+b x^2+c x^4)^2} \, dx\)
 3.47 \(\int \frac{x^7 (d+e x^2+f x^4)}{a+b x^2+c x^4} \, dx\)
 3.48 \(\int \frac{x^5 (d+e x^2+f x^4)}{a+b x^2+c x^4} \, dx\)
 3.49 \(\int \frac{x^3 (d+e x^2+f x^4)}{a+b x^2+c x^4} \, dx\)
 3.50 \(\int \frac{x (d+e x^2+f x^4)}{a+b x^2+c x^4} \, dx\)
 3.51 \(\int \frac{d+e x^2+f x^4}{x (a+b x^2+c x^4)} \, dx\)
 3.52 \(\int \frac{d+e x^2+f x^4}{x^3 (a+b x^2+c x^4)} \, dx\)
 3.53 \(\int \frac{d+e x^2+f x^4}{x^5 (a+b x^2+c x^4)} \, dx\)
 3.54 \(\int \frac{d+e x^2+f x^4}{x^7 (a+b x^2+c x^4)} \, dx\)
 3.55 \(\int \frac{x^4 (d+e x^2+f x^4)}{a+b x^2+c x^4} \, dx\)
 3.56 \(\int \frac{x^2 (d+e x^2+f x^4)}{a+b x^2+c x^4} \, dx\)
 3.57 \(\int \frac{d+e x^2+f x^4}{a+b x^2+c x^4} \, dx\)
 3.58 \(\int \frac{d+e x^2+f x^4}{x^2 (a+b x^2+c x^4)} \, dx\)
 3.59 \(\int \frac{d+e x^2+f x^4}{x^4 (a+b x^2+c x^4)} \, dx\)
 3.60 \(\int \frac{d+e x^2+f x^4}{x^6 (a+b x^2+c x^4)} \, dx\)
 3.61 \(\int \frac{x^7 (d+e x^2+f x^4)}{(a+b x^2+c x^4)^2} \, dx\)
 3.62 \(\int \frac{x^5 (d+e x^2+f x^4)}{(a+b x^2+c x^4)^2} \, dx\)
 3.63 \(\int \frac{x^3 (d+e x^2+f x^4)}{(a+b x^2+c x^4)^2} \, dx\)
 3.64 \(\int \frac{x (d+e x^2+f x^4)}{(a+b x^2+c x^4)^2} \, dx\)
 3.65 \(\int \frac{d+e x^2+f x^4}{x (a+b x^2+c x^4)^2} \, dx\)
 3.66 \(\int \frac{d+e x^2+f x^4}{x^3 (a+b x^2+c x^4)^2} \, dx\)
 3.67 \(\int \frac{d+e x^2+f x^4}{x^5 (a+b x^2+c x^4)^2} \, dx\)
 3.68 \(\int \frac{x^6 (d+e x^2+f x^4)}{(a+b x^2+c x^4)^2} \, dx\)
 3.69 \(\int \frac{x^4 (d+e x^2+f x^4)}{(a+b x^2+c x^4)^2} \, dx\)
 3.70 \(\int \frac{x^2 (d+e x^2+f x^4)}{(a+b x^2+c x^4)^2} \, dx\)
 3.71 \(\int \frac{d+e x^2+f x^4}{(a+b x^2+c x^4)^2} \, dx\)
 3.72 \(\int \frac{d+e x^2+f x^4}{x^2 (a+b x^2+c x^4)^2} \, dx\)
 3.73 \(\int \frac{d+e x^2+f x^4}{x^4 (a+b x^2+c x^4)^2} \, dx\)
 3.74 \(\int \frac{x^9 (4+x^2+3 x^4+5 x^6)}{(2+3 x^2+x^4)^2} \, dx\)
 3.75 \(\int \frac{x^7 (4+x^2+3 x^4+5 x^6)}{(2+3 x^2+x^4)^2} \, dx\)
 3.76 \(\int \frac{x^5 (4+x^2+3 x^4+5 x^6)}{(2+3 x^2+x^4)^2} \, dx\)
 3.77 \(\int \frac{x^3 (4+x^2+3 x^4+5 x^6)}{(2+3 x^2+x^4)^2} \, dx\)
 3.78 \(\int \frac{x (4+x^2+3 x^4+5 x^6)}{(2+3 x^2+x^4)^2} \, dx\)
 3.79 \(\int \frac{4+x^2+3 x^4+5 x^6}{x (2+3 x^2+x^4)^2} \, dx\)
 3.80 \(\int \frac{4+x^2+3 x^4+5 x^6}{x^3 (2+3 x^2+x^4)^2} \, dx\)
 3.81 \(\int \frac{4+x^2+3 x^4+5 x^6}{x^5 (2+3 x^2+x^4)^2} \, dx\)
 3.82 \(\int \frac{x^8 (4+x^2+3 x^4+5 x^6)}{(2+3 x^2+x^4)^2} \, dx\)
 3.83 \(\int \frac{x^6 (4+x^2+3 x^4+5 x^6)}{(2+3 x^2+x^4)^2} \, dx\)
 3.84 \(\int \frac{x^4 (4+x^2+3 x^4+5 x^6)}{(2+3 x^2+x^4)^2} \, dx\)
 3.85 \(\int \frac{x^2 (4+x^2+3 x^4+5 x^6)}{(2+3 x^2+x^4)^2} \, dx\)
 3.86 \(\int \frac{4+x^2+3 x^4+5 x^6}{(2+3 x^2+x^4)^2} \, dx\)
 3.87 \(\int \frac{4+x^2+3 x^4+5 x^6}{x^2 (2+3 x^2+x^4)^2} \, dx\)
 3.88 \(\int \frac{4+x^2+3 x^4+5 x^6}{x^4 (2+3 x^2+x^4)^2} \, dx\)
 3.89 \(\int \frac{4+x^2+3 x^4+5 x^6}{x^6 (2+3 x^2+x^4)^2} \, dx\)
 3.90 \(\int \frac{4+x^2+3 x^4+5 x^6}{x^8 (2+3 x^2+x^4)^2} \, dx\)
 3.91 \(\int \frac{x^{10} (4+x^2+3 x^4+5 x^6)}{(2+3 x^2+x^4)^3} \, dx\)
 3.92 \(\int \frac{x^8 (4+x^2+3 x^4+5 x^6)}{(2+3 x^2+x^4)^3} \, dx\)
 3.93 \(\int \frac{x^6 (4+x^2+3 x^4+5 x^6)}{(2+3 x^2+x^4)^3} \, dx\)
 3.94 \(\int \frac{x^4 (4+x^2+3 x^4+5 x^6)}{(2+3 x^2+x^4)^3} \, dx\)
 3.95 \(\int \frac{x^2 (4+x^2+3 x^4+5 x^6)}{(2+3 x^2+x^4)^3} \, dx\)
 3.96 \(\int \frac{4+x^2+3 x^4+5 x^6}{(2+3 x^2+x^4)^3} \, dx\)
 3.97 \(\int \frac{4+x^2+3 x^4+5 x^6}{x^2 (2+3 x^2+x^4)^3} \, dx\)
 3.98 \(\int \frac{4+x^2+3 x^4+5 x^6}{x^4 (2+3 x^2+x^4)^3} \, dx\)
 3.99 \(\int \frac{4+x^2+3 x^4+5 x^6}{x^6 (2+3 x^2+x^4)^3} \, dx\)
 3.100 \(\int \frac{x^9 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^2} \, dx\)
 3.101 \(\int \frac{x^7 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^2} \, dx\)
 3.102 \(\int \frac{x^5 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^2} \, dx\)
 3.103 \(\int \frac{x^3 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^2} \, dx\)
 3.104 \(\int \frac{x (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^2} \, dx\)
 3.105 \(\int \frac{4+x^2+3 x^4+5 x^6}{x (3+2 x^2+x^4)^2} \, dx\)
 3.106 \(\int \frac{4+x^2+3 x^4+5 x^6}{x^3 (3+2 x^2+x^4)^2} \, dx\)
 3.107 \(\int \frac{4+x^2+3 x^4+5 x^6}{x^5 (3+2 x^2+x^4)^2} \, dx\)
 3.108 \(\int \frac{4+x^2+3 x^4+5 x^6}{x^7 (3+2 x^2+x^4)^2} \, dx\)
 3.109 \(\int \frac{x^8 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^2} \, dx\)
 3.110 \(\int \frac{x^6 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^2} \, dx\)
 3.111 \(\int \frac{x^4 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^2} \, dx\)
 3.112 \(\int \frac{x^2 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^2} \, dx\)
 3.113 \(\int \frac{4+x^2+3 x^4+5 x^6}{(3+2 x^2+x^4)^2} \, dx\)
 3.114 \(\int \frac{4+x^2+3 x^4+5 x^6}{x^2 (3+2 x^2+x^4)^2} \, dx\)
 3.115 \(\int \frac{4+x^2+3 x^4+5 x^6}{x^4 (3+2 x^2+x^4)^2} \, dx\)
 3.116 \(\int \frac{4+x^2+3 x^4+5 x^6}{x^6 (3+2 x^2+x^4)^2} \, dx\)
 3.117 \(\int \frac{x^{10} (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^3} \, dx\)
 3.118 \(\int \frac{x^8 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^3} \, dx\)
 3.119 \(\int \frac{x^6 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^3} \, dx\)
 3.120 \(\int \frac{x^4 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^3} \, dx\)
 3.121 \(\int \frac{x^2 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^3} \, dx\)
 3.122 \(\int \frac{4+x^2+3 x^4+5 x^6}{(3+2 x^2+x^4)^3} \, dx\)
 3.123 \(\int \frac{4+x^2+3 x^4+5 x^6}{x^2 (3+2 x^2+x^4)^3} \, dx\)
 3.124 \(\int \frac{4+x^2+3 x^4+5 x^6}{x^4 (3+2 x^2+x^4)^3} \, dx\)
 3.125 \(\int \frac{x (d+e x^2+f x^4+g x^6)}{a+b x^2+c x^4} \, dx\)
 3.126 \(\int \frac{x^4 (d+e x^2+f x^4+g x^6)}{(a+b x^2+c x^4)^2} \, dx\)
 3.127 \(\int \frac{x^2 (d+e x^2+f x^4+g x^6)}{(a+b x^2+c x^4)^2} \, dx\)
 3.128 \(\int \frac{d+e x^2+f x^4+g x^6}{(a+b x^2+c x^4)^2} \, dx\)
 3.129 \(\int \frac{d+e x^2+f x^4+g x^6}{x^2 (a+b x^2+c x^4)^2} \, dx\)
 3.130 \(\int \frac{d+e x^2+f x^4+g x^6}{x^4 (a+b x^2+c x^4)^2} \, dx\)
 3.131 \(\int x^2 (a+b x^2+c x^4)^p (3 a+b (5+2 p) x^2+c (7+4 p) x^4) \, dx\)
 3.132 \(\int \frac{x^5 (a+b x^2+c x^4)}{\sqrt{d-e x} \sqrt{d+e x}} \, dx\)
 3.133 \(\int \frac{x^3 (a+b x^2+c x^4)}{\sqrt{d-e x} \sqrt{d+e x}} \, dx\)
 3.134 \(\int \frac{x (a+b x^2+c x^4)}{\sqrt{d-e x} \sqrt{d+e x}} \, dx\)
 3.135 \(\int \frac{a+b x^2+c x^4}{x \sqrt{d-e x} \sqrt{d+e x}} \, dx\)
 3.136 \(\int \frac{a+b x^2+c x^4}{x^3 \sqrt{d-e x} \sqrt{d+e x}} \, dx\)
 3.137 \(\int \frac{a+b x^2+c x^4}{x^5 \sqrt{d-e x} \sqrt{d+e x}} \, dx\)
 3.138 \(\int \frac{a+b x^2+c x^4}{x^7 \sqrt{d-e x} \sqrt{d+e x}} \, dx\)
 3.139 \(\int \frac{x^2 (a+b x^2+c x^4)}{\sqrt{d-e x} \sqrt{d+e x}} \, dx\)
 3.140 \(\int \frac{a+b x^2+c x^4}{\sqrt{d-e x} \sqrt{d+e x}} \, dx\)
 3.141 \(\int \frac{a+b x^2+c x^4}{x^2 \sqrt{d-e x} \sqrt{d+e x}} \, dx\)
 3.142 \(\int \frac{a+b x^2+c x^4}{x^4 \sqrt{d-e x} \sqrt{d+e x}} \, dx\)
 3.143 \(\int \frac{a+b x^2+c x^4}{x^6 \sqrt{d-e x} \sqrt{d+e x}} \, dx\)
 3.144 \(\int \frac{a+b x^2+c x^4}{x^8 \sqrt{d-e x} \sqrt{d+e x}} \, dx\)
 3.145 \(\int \frac{a+b x^2+c x^4}{x^{10} \sqrt{d-e x} \sqrt{d+e x}} \, dx\)