3.1 \(\int \frac{(A+B x) \left (a+b x+c x^2\right )}{d+f x^2} \, dx\)
 3.2 \(\int \frac{(A+B x) \left (a+b x+c x^2\right )^2}{d+f x^2} \, dx\)
 3.3 \(\int \frac{(A+B x) \left (a+b x+c x^2\right )^3}{d+f x^2} \, dx\)
 3.4 \(\int \frac{A+B x}{\left (a+b x+c x^2\right ) \left (d+f x^2\right )} \, dx\)
 3.5 \(\int \frac{A+B x}{\left (a+b x+c x^2\right )^2 \left (d+f x^2\right )} \, dx\)
 3.6 \(\int \frac{(A+B x) \sqrt{a+b x+c x^2}}{d-f x^2} \, dx\)
 3.7 \(\int \frac{A+B x}{\sqrt{a+b x+c x^2} \left (d-f x^2\right )} \, dx\)
 3.8 \(\int \frac{A+B x}{\left (a+b x+c x^2\right )^{3/2} \left (d-f x^2\right )} \, dx\)
 3.9 \(\int \frac{A+B x}{\left (a+b x+c x^2\right )^{5/2} \left (d-f x^2\right )} \, dx\)
 3.10 \(\int \frac{1+2 x}{\left (-1+x^2\right ) \sqrt{-1+x+x^2}} \, dx\)
 3.11 \(\int \frac{1+2 x}{\left (1+x^2\right ) \sqrt{-1+x+x^2}} \, dx\)
 3.12 \(\int \frac{a-c+b x}{\left (1+x^2\right ) \sqrt{a+b x+c x^2}} \, dx\)
 3.13 \(\int \frac{(A+B x) \left (a+b x+c x^2\right )}{d+e x+f x^2} \, dx\)
 3.14 \(\int \frac{(A+B x) \left (a+b x+c x^2\right )^2}{d+e x+f x^2} \, dx\)
 3.15 \(\int \frac{A+B x}{\left (a+b x+c x^2\right ) \left (d+e x+f x^2\right )} \, dx\)
 3.16 \(\int \frac{A+B x}{\left (a+b x+c x^2\right )^2 \left (d+e x+f x^2\right )} \, dx\)
 3.17 \(\int \frac{g+h x}{\left (a+b x+c x^2\right ) \left (a d+b d x+c d x^2\right )^2} \, dx\)
 3.18 \(\int \frac{g+h x}{\left (a+b x+c x^2\right )^2 \left (a d+b d x+c d x^2\right )} \, dx\)
 3.19 \(\int \frac{(A+B x) \sqrt{a+b x+c x^2}}{d+e x+f x^2} \, dx\)
 3.20 \(\int \frac{(A+B x) \left (a+b x+c x^2\right )^{3/2}}{d+e x+f x^2} \, dx\)
 3.21 \(\int \frac{A+B x}{\left (a+b x+c x^2\right ) \sqrt{d+e x+f x^2}} \, dx\)
 3.22 \(\int \frac{A+B x}{\left (a+c x^2\right ) \sqrt{d+e x+f x^2}} \, dx\)
 3.23 \(\int \frac{A+B x}{\left (a+b x+c x^2\right ) \sqrt{d+f x^2}} \, dx\)
 3.24 \(\int \frac{A+B x}{\left (a+c x^2\right ) \sqrt{d+f x^2}} \, dx\)
 3.25 \(\int \frac{2+x}{\left (2+4 x-3 x^2\right ) \sqrt{1+3 x-2 x^2}} \, dx\)
 3.26 \(\int \frac{2+x}{\left (2+4 x-3 x^2\right ) \left (1+3 x-2 x^2\right )^{3/2}} \, dx\)
 3.27 \(\int \frac{2+x}{\left (2+4 x-3 x^2\right ) \left (1+3 x-2 x^2\right )^{5/2}} \, dx\)
 3.28 \(\int \frac{2+x}{\left (2+4 x-3 x^2\right ) \sqrt{1+3 x+2 x^2}} \, dx\)
 3.29 \(\int \frac{2+x}{\left (2+4 x-3 x^2\right ) \left (1+3 x+2 x^2\right )^{3/2}} \, dx\)
 3.30 \(\int \frac{2+x}{\left (2+4 x-3 x^2\right ) \left (1+3 x+2 x^2\right )^{5/2}} \, dx\)
 3.31 \(\int \frac{1+x}{\left (4+2 x+x^2\right ) \sqrt{5+2 x+x^2}} \, dx\)
 3.32 \(\int \frac{4+x}{\left (4+2 x+x^2\right ) \sqrt{5+2 x+x^2}} \, dx\)
 3.33 \(\int \frac{1+2 x}{\left (3+x+x^2\right ) \sqrt{5+x+x^2}} \, dx\)
 3.34 \(\int \frac{x}{\left (3+x+x^2\right ) \sqrt{5+x+x^2}} \, dx\)
 3.35 \(\int \frac{A+B x}{\sqrt{d+e x+f x^2} \left (a e+b e x+b f x^2\right )^2} \, dx\)
 3.36 \(\int \frac{(g+h x) \sqrt{a+b x+c x^2}}{\left (a d+b d x+c d x^2\right )^2} \, dx\)
 3.37 \(\int \frac{3+2 x}{\sqrt{-3-4 x-x^2} \left (3+4 x+2 x^2\right )} \, dx\)
 3.38 \(\int \frac{3+4 x}{\sqrt{-3-4 x-x^2} \left (3+4 x+2 x^2\right )} \, dx\)
 3.39 \(\int \frac{(g+h x) \sqrt{a+b x+c x^2}}{\left (a d+b d x+c d x^2\right )^{3/2}} \, dx\)
 3.40 \(\int x^2 \sqrt{a^2+2 a b x+b^2 x^2} \sqrt{c+d x^2} \, dx\)
 3.41 \(\int x \sqrt{a^2+2 a b x+b^2 x^2} \sqrt{c+d x^2} \, dx\)
 3.42 \(\int \sqrt{a^2+2 a b x+b^2 x^2} \sqrt{c+d x^2} \, dx\)
 3.43 \(\int \frac{\sqrt{a^2+2 a b x+b^2 x^2} \sqrt{c+d x^2}}{x} \, dx\)
 3.44 \(\int \frac{\sqrt{a^2+2 a b x+b^2 x^2} \sqrt{c+d x^2}}{x^2} \, dx\)
 3.45 \(\int \frac{\sqrt{a^2+2 a b x+b^2 x^2} \sqrt{c+d x^2}}{x^3} \, dx\)
 3.46 \(\int x^2 \sqrt{a^2+2 a b x+b^2 x^2} \sqrt{c+e x+d x^2} \, dx\)
 3.47 \(\int x \sqrt{a^2+2 a b x+b^2 x^2} \sqrt{c+e x+d x^2} \, dx\)
 3.48 \(\int \sqrt{a^2+2 a b x+b^2 x^2} \sqrt{c+e x+d x^2} \, dx\)
 3.49 \(\int \frac{\sqrt{a^2+2 a b x+b^2 x^2} \sqrt{c+e x+d x^2}}{x} \, dx\)
 3.50 \(\int \frac{\sqrt{a^2+2 a b x+b^2 x^2} \sqrt{c+e x+d x^2}}{x^2} \, dx\)
 3.51 \(\int \frac{\sqrt{a^2+2 a b x+b^2 x^2} \sqrt{c+e x+d x^2}}{x^3} \, dx\)
 3.52 \(\int \frac{x^2 \sqrt{a+c x^2}}{d+e x+f x^2} \, dx\)
 3.53 \(\int \frac{x \sqrt{a+c x^2}}{d+e x+f x^2} \, dx\)
 3.54 \(\int \frac{\sqrt{a+c x^2}}{d+e x+f x^2} \, dx\)
 3.55 \(\int \frac{\sqrt{a+c x^2}}{x \left (d+e x+f x^2\right )} \, dx\)
 3.56 \(\int \frac{\sqrt{a+c x^2}}{x^2 \left (d+e x+f x^2\right )} \, dx\)
 3.57 \(\int \frac{\sqrt{a+c x^2}}{x^3 \left (d+e x+f x^2\right )} \, dx\)
 3.58 \(\int \frac{x^2 \left (a+c x^2\right )^{3/2}}{d+e x+f x^2} \, dx\)
 3.59 \(\int \frac{x \left (a+c x^2\right )^{3/2}}{d+e x+f x^2} \, dx\)
 3.60 \(\int \frac{\left (a+c x^2\right )^{3/2}}{d+e x+f x^2} \, dx\)
 3.61 \(\int \frac{\left (a+c x^2\right )^{3/2}}{x \left (d+e x+f x^2\right )} \, dx\)
 3.62 \(\int \frac{\left (a+c x^2\right )^{3/2}}{x^2 \left (d+e x+f x^2\right )} \, dx\)
 3.63 \(\int \frac{\left (a+c x^2\right )^{3/2}}{x^3 \left (d+e x+f x^2\right )} \, dx\)
 3.64 \(\int \frac{x^3}{\sqrt{a+c x^2} \left (d+e x+f x^2\right )} \, dx\)
 3.65 \(\int \frac{x^2}{\sqrt{a+c x^2} \left (d+e x+f x^2\right )} \, dx\)
 3.66 \(\int \frac{x}{\sqrt{a+c x^2} \left (d+e x+f x^2\right )} \, dx\)
 3.67 \(\int \frac{1}{\sqrt{a+c x^2} \left (d+e x+f x^2\right )} \, dx\)
 3.68 \(\int \frac{1}{x \sqrt{a+c x^2} \left (d+e x+f x^2\right )} \, dx\)
 3.69 \(\int \frac{1}{x^2 \sqrt{a+c x^2} \left (d+e x+f x^2\right )} \, dx\)
 3.70 \(\int \frac{1}{x^3 \sqrt{a+c x^2} \left (d+e x+f x^2\right )} \, dx\)
 3.71 \(\int \frac{x^3}{\left (a+c x^2\right )^{3/2} \left (d+e x+f x^2\right )} \, dx\)
 3.72 \(\int \frac{x^2}{\left (a+c x^2\right )^{3/2} \left (d+e x+f x^2\right )} \, dx\)
 3.73 \(\int \frac{x}{\left (a+c x^2\right )^{3/2} \left (d+e x+f x^2\right )} \, dx\)
 3.74 \(\int \frac{1}{\left (a+c x^2\right )^{3/2} \left (d+e x+f x^2\right )} \, dx\)
 3.75 \(\int \frac{1}{x \left (a+c x^2\right )^{3/2} \left (d+e x+f x^2\right )} \, dx\)
 3.76 \(\int \frac{1}{x^2 \left (a+c x^2\right )^{3/2} \left (d+e x+f x^2\right )} \, dx\)
 3.77 \(\int \frac{x^3 \sqrt{a+b x+c x^2}}{d-f x^2} \, dx\)
 3.78 \(\int \frac{x^2 \sqrt{a+b x+c x^2}}{d-f x^2} \, dx\)
 3.79 \(\int \frac{x \sqrt{a+b x+c x^2}}{d-f x^2} \, dx\)
 3.80 \(\int \frac{\sqrt{a+b x+c x^2}}{d-f x^2} \, dx\)
 3.81 \(\int \frac{\sqrt{a+b x+c x^2}}{x \left (d-f x^2\right )} \, dx\)
 3.82 \(\int \frac{\sqrt{a+b x+c x^2}}{x^2 \left (d-f x^2\right )} \, dx\)
 3.83 \(\int \frac{\sqrt{a+b x+c x^2}}{x^3 \left (d-f x^2\right )} \, dx\)
 3.84 \(\int \frac{x^3 \left (a+b x+c x^2\right )^{3/2}}{d-f x^2} \, dx\)
 3.85 \(\int \frac{x^2 \left (a+b x+c x^2\right )^{3/2}}{d-f x^2} \, dx\)
 3.86 \(\int \frac{x \left (a+b x+c x^2\right )^{3/2}}{d-f x^2} \, dx\)
 3.87 \(\int \frac{\left (a+b x+c x^2\right )^{3/2}}{d-f x^2} \, dx\)
 3.88 \(\int \frac{\left (a+b x+c x^2\right )^{3/2}}{x \left (d-f x^2\right )} \, dx\)
 3.89 \(\int \frac{\left (a+b x+c x^2\right )^{3/2}}{x^2 \left (d-f x^2\right )} \, dx\)
 3.90 \(\int \frac{\left (a+b x+c x^2\right )^{3/2}}{x^3 \left (d-f x^2\right )} \, dx\)
 3.91 \(\int \frac{\left (a+b x+c x^2\right )^{3/2}}{1-x^2} \, dx\)
 3.92 \(\int \frac{\sqrt{-1-x+x^2}}{1-x^2} \, dx\)
 3.93 \(\int \frac{\left (x+x^2\right )^{3/2}}{1+x^2} \, dx\)
 3.94 \(\int \frac{x^4}{\sqrt{a+b x+c x^2} \left (d-f x^2\right )} \, dx\)
 3.95 \(\int \frac{x^3}{\sqrt{a+b x+c x^2} \left (d-f x^2\right )} \, dx\)
 3.96 \(\int \frac{x^2}{\sqrt{a+b x+c x^2} \left (d-f x^2\right )} \, dx\)
 3.97 \(\int \frac{x}{\sqrt{a+b x+c x^2} \left (d-f x^2\right )} \, dx\)
 3.98 \(\int \frac{1}{\sqrt{a+b x+c x^2} \left (d-f x^2\right )} \, dx\)
 3.99 \(\int \frac{1}{x \sqrt{a+b x+c x^2} \left (d-f x^2\right )} \, dx\)
 3.100 \(\int \frac{1}{x^2 \sqrt{a+b x+c x^2} \left (d-f x^2\right )} \, dx\)
 3.101 \(\int \frac{1}{x^3 \sqrt{a+b x+c x^2} \left (d-f x^2\right )} \, dx\)
 3.102 \(\int \frac{x^4}{\left (a+b x+c x^2\right )^{3/2} \left (d-f x^2\right )} \, dx\)
 3.103 \(\int \frac{x^3}{\left (a+b x+c x^2\right )^{3/2} \left (d-f x^2\right )} \, dx\)
 3.104 \(\int \frac{x^2}{\left (a+b x+c x^2\right )^{3/2} \left (d-f x^2\right )} \, dx\)
 3.105 \(\int \frac{x}{\left (a+b x+c x^2\right )^{3/2} \left (d-f x^2\right )} \, dx\)
 3.106 \(\int \frac{1}{\left (a+b x+c x^2\right )^{3/2} \left (d-f x^2\right )} \, dx\)
 3.107 \(\int \frac{1}{x \left (a+b x+c x^2\right )^{3/2} \left (d-f x^2\right )} \, dx\)
 3.108 \(\int \frac{1}{x^2 \left (a+b x+c x^2\right )^{3/2} \left (d-f x^2\right )} \, dx\)
 3.109 \(\int \frac{x^2 \sqrt{a+b x+c x^2}}{d+e x+f x^2} \, dx\)
 3.110 \(\int \frac{x \sqrt{a+b x+c x^2}}{d+e x+f x^2} \, dx\)
 3.111 \(\int \frac{\sqrt{a+b x+c x^2}}{d+e x+f x^2} \, dx\)
 3.112 \(\int \frac{\sqrt{a+b x+c x^2}}{x \left (d+e x+f x^2\right )} \, dx\)
 3.113 \(\int \frac{\sqrt{a+b x+c x^2}}{x^2 \left (d+e x+f x^2\right )} \, dx\)
 3.114 \(\int \frac{x^3}{\sqrt{a+b x+c x^2} \left (d+e x+f x^2\right )} \, dx\)
 3.115 \(\int \frac{x^2}{\sqrt{a+b x+c x^2} \left (d+e x+f x^2\right )} \, dx\)
 3.116 \(\int \frac{x}{\sqrt{a+b x+c x^2} \left (d+e x+f x^2\right )} \, dx\)
 3.117 \(\int \frac{1}{\sqrt{a+b x+c x^2} \left (d+e x+f x^2\right )} \, dx\)
 3.118 \(\int \frac{1}{x \sqrt{a+b x+c x^2} \left (d+e x+f x^2\right )} \, dx\)
 3.119 \(\int \frac{1}{x^2 \sqrt{a+b x+c x^2} \left (d+e x+f x^2\right )} \, dx\)
 3.120 \(\int \frac{1}{x^3 \sqrt{a+b x+c x^2} \left (d+e x+f x^2\right )} \, dx\)
 3.121 \(\int \frac{x^3}{\left (a+b x+c x^2\right )^{3/2} \left (d+e x+f x^2\right )} \, dx\)
 3.122 \(\int \frac{x^2}{\left (a+b x+c x^2\right )^{3/2} \left (d+e x+f x^2\right )} \, dx\)
 3.123 \(\int \frac{x}{\left (a+b x+c x^2\right )^{3/2} \left (d+e x+f x^2\right )} \, dx\)
 3.124 \(\int \frac{1}{\left (a+b x+c x^2\right )^{3/2} \left (d+e x+f x^2\right )} \, dx\)
 3.125 \(\int \frac{1}{x \left (a+b x+c x^2\right )^{3/2} \left (d+e x+f x^2\right )} \, dx\)
 3.126 \(\int \frac{x^4}{\sqrt{-3-4 x-x^2} \left (3+4 x+2 x^2\right )} \, dx\)
 3.127 \(\int \frac{x^3}{\sqrt{-3-4 x-x^2} \left (3+4 x+2 x^2\right )} \, dx\)
 3.128 \(\int \frac{x^2}{\sqrt{-3-4 x-x^2} \left (3+4 x+2 x^2\right )} \, dx\)
 3.129 \(\int \frac{x}{\sqrt{-3-4 x-x^2} \left (3+4 x+2 x^2\right )} \, dx\)
 3.130 \(\int \frac{1}{\sqrt{-3-4 x-x^2} \left (3+4 x+2 x^2\right )} \, dx\)
 3.131 \(\int \frac{1}{x \sqrt{-3-4 x-x^2} \left (3+4 x+2 x^2\right )} \, dx\)
 3.132 \(\int \frac{1}{x^2 \sqrt{-3-4 x-x^2} \left (3+4 x+2 x^2\right )} \, dx\)
 3.133 \(\int (2+3 x)^2 \left (30+31 x-12 x^2\right )^2 \sqrt{6+17 x+12 x^2} \, dx\)
 3.134 \(\int (2+3 x) \left (30+31 x-12 x^2\right ) \sqrt{6+17 x+12 x^2} \, dx\)
 3.135 \(\int \frac{\sqrt{6+17 x+12 x^2}}{(2+3 x) \left (30+31 x-12 x^2\right )} \, dx\)
 3.136 \(\int \frac{\sqrt{6+17 x+12 x^2}}{(2+3 x)^2 \left (30+31 x-12 x^2\right )^2} \, dx\)
 3.137 \(\int \frac{\sqrt{6+17 x+12 x^2}}{(2+3 x)^3 \left (30+31 x-12 x^2\right )^3} \, dx\)
 3.138 \(\int (-3+2 x) \left (-3 x+x^2\right )^{2/3} \, dx\)
 3.139 \(\int ((-3+x) x)^{2/3} (-3+2 x) \, dx\)
 3.140 \(\int \frac{x \left (9-9 x+2 x^2\right )}{\sqrt [3]{-3 x+x^2}} \, dx\)
 3.141 \(\int \frac{x \left (9-9 x+2 x^2\right )}{\sqrt [3]{(-3+x) x}} \, dx\)
 3.142 \(\int \frac{g+h x}{\sqrt [3]{-\frac{c g^2}{h^2}+9 c x^2} \left (g^2+3 h^2 x^2\right )} \, dx\)
 3.143 \(\int \frac{g+h x}{\sqrt [3]{\frac{-c^2 g^2+b c g h+2 b^2 h^2}{9 c h^2}+b x+c x^2} \left (\frac{f \left (b^2-\frac{-c^2 g^2+b c g h+2 b^2 h^2}{3 h^2}\right )}{c^2}+\frac{b f x}{c}+f x^2\right )} \, dx\)