3.1 \(\int \frac{a+b x+\frac{b f x^2}{e}}{\sqrt{d+e x+f x^2}} \, dx\)
 3.2 \(\int \frac{1}{\sqrt{d+e x+f x^2} \left (a+b x+\frac{b f x^2}{e}\right )} \, dx\)
 3.3 \(\int \frac{1}{\sqrt{a+b x+c x^2} \left (d+b x+c x^2\right )} \, dx\)
 3.4 \(\int \frac{1}{\sqrt{a+b x+c x^2} \left (d+b x+c x^2\right )^2} \, dx\)
 3.5 \(\int \frac{1}{\sqrt{a+b x+c x^2} \left (d+b x+c x^2\right )^3} \, dx\)
 3.6 \(\int \frac{1}{\sqrt{a+b x+c x^2} \left (d+b x+c x^2\right )^4} \, dx\)
 3.7 \(\int \frac{1}{\sqrt{d+e x+f x^2} \left (a e+b e x+b f x^2\right )^2} \, dx\)
 3.8 \(\int \frac{1}{\left (4+2 x+x^2\right ) \sqrt{5+2 x+x^2}} \, dx\)
 3.9 \(\int \left (a+\frac{e x}{2}+c x^2\right )^p \left (2 a+e x+2 c x^2\right )^q \, dx\)
 3.10 \(\int \left (a+\frac{c e x}{f}+c x^2\right )^p \left (\frac{a f}{c}+e x+f x^2\right )^q \, dx\)
 3.11 \(\int \frac{\sqrt{1+2 x+x^2}}{\sqrt{1+x^2}} \, dx\)
 3.12 \(\int \frac{1}{\left (-1+x^2\right )^2 \sqrt{-1+x+x^2}} \, dx\)
 3.13 \(\int \frac{1}{\sqrt{a+b x+c x^2} \sqrt{d+f x^2}} \, dx\)
 3.14 \(\int \frac{\sqrt{-3-4 x-x^2}}{3+4 x+2 x^2} \, dx\)
 3.15 \(\int \left (3-x+2 x^2\right ) \left (2+3 x+5 x^2\right )^4 \, dx\)
 3.16 \(\int \left (3-x+2 x^2\right ) \left (2+3 x+5 x^2\right )^3 \, dx\)
 3.17 \(\int \left (3-x+2 x^2\right ) \left (2+3 x+5 x^2\right )^2 \, dx\)
 3.18 \(\int \left (3-x+2 x^2\right ) \left (2+3 x+5 x^2\right ) \, dx\)
 3.19 \(\int \frac{3-x+2 x^2}{2+3 x+5 x^2} \, dx\)
 3.20 \(\int \frac{3-x+2 x^2}{\left (2+3 x+5 x^2\right )^2} \, dx\)
 3.21 \(\int \frac{3-x+2 x^2}{\left (2+3 x+5 x^2\right )^3} \, dx\)
 3.22 \(\int \left (3-x+2 x^2\right )^2 \left (2+3 x+5 x^2\right )^4 \, dx\)
 3.23 \(\int \left (3-x+2 x^2\right )^2 \left (2+3 x+5 x^2\right )^3 \, dx\)
 3.24 \(\int \left (3-x+2 x^2\right )^2 \left (2+3 x+5 x^2\right )^2 \, dx\)
 3.25 \(\int \left (3-x+2 x^2\right )^2 \left (2+3 x+5 x^2\right ) \, dx\)
 3.26 \(\int \frac{\left (3-x+2 x^2\right )^2}{2+3 x+5 x^2} \, dx\)
 3.27 \(\int \frac{\left (3-x+2 x^2\right )^2}{\left (2+3 x+5 x^2\right )^2} \, dx\)
 3.28 \(\int \frac{\left (3-x+2 x^2\right )^2}{\left (2+3 x+5 x^2\right )^3} \, dx\)
 3.29 \(\int \frac{\left (3-x+2 x^2\right )^2}{\left (2+3 x+5 x^2\right )^4} \, dx\)
 3.30 \(\int \left (3-x+2 x^2\right )^3 \left (2+3 x+5 x^2\right )^4 \, dx\)
 3.31 \(\int \left (3-x+2 x^2\right )^3 \left (2+3 x+5 x^2\right )^3 \, dx\)
 3.32 \(\int \left (3-x+2 x^2\right )^3 \left (2+3 x+5 x^2\right )^2 \, dx\)
 3.33 \(\int \left (3-x+2 x^2\right )^3 \left (2+3 x+5 x^2\right ) \, dx\)
 3.34 \(\int \frac{\left (3-x+2 x^2\right )^3}{2+3 x+5 x^2} \, dx\)
 3.35 \(\int \frac{\left (3-x+2 x^2\right )^3}{\left (2+3 x+5 x^2\right )^2} \, dx\)
 3.36 \(\int \frac{\left (3-x+2 x^2\right )^3}{\left (2+3 x+5 x^2\right )^3} \, dx\)
 3.37 \(\int \frac{\left (2+3 x+5 x^2\right )^4}{3-x+2 x^2} \, dx\)
 3.38 \(\int \frac{\left (2+3 x+5 x^2\right )^3}{3-x+2 x^2} \, dx\)
 3.39 \(\int \frac{\left (2+3 x+5 x^2\right )^2}{3-x+2 x^2} \, dx\)
 3.40 \(\int \frac{2+3 x+5 x^2}{3-x+2 x^2} \, dx\)
 3.41 \(\int \frac{1}{\left (3-x+2 x^2\right ) \left (2+3 x+5 x^2\right )} \, dx\)
 3.42 \(\int \frac{1}{\left (3-x+2 x^2\right ) \left (2+3 x+5 x^2\right )^2} \, dx\)
 3.43 \(\int \frac{1}{\left (3-x+2 x^2\right ) \left (2+3 x+5 x^2\right )^3} \, dx\)
 3.44 \(\int \frac{\left (2+3 x+5 x^2\right )^4}{\left (3-x+2 x^2\right )^2} \, dx\)
 3.45 \(\int \frac{\left (2+3 x+5 x^2\right )^3}{\left (3-x+2 x^2\right )^2} \, dx\)
 3.46 \(\int \frac{\left (2+3 x+5 x^2\right )^2}{\left (3-x+2 x^2\right )^2} \, dx\)
 3.47 \(\int \frac{2+3 x+5 x^2}{\left (3-x+2 x^2\right )^2} \, dx\)
 3.48 \(\int \frac{1}{\left (3-x+2 x^2\right )^2 \left (2+3 x+5 x^2\right )} \, dx\)
 3.49 \(\int \frac{1}{\left (3-x+2 x^2\right )^2 \left (2+3 x+5 x^2\right )^2} \, dx\)
 3.50 \(\int \frac{1}{\left (3-x+2 x^2\right )^2 \left (2+3 x+5 x^2\right )^3} \, dx\)
 3.51 \(\int \frac{\left (2+3 x+5 x^2\right )^4}{\left (3-x+2 x^2\right )^3} \, dx\)
 3.52 \(\int \frac{\left (2+3 x+5 x^2\right )^3}{\left (3-x+2 x^2\right )^3} \, dx\)
 3.53 \(\int \frac{\left (2+3 x+5 x^2\right )^2}{\left (3-x+2 x^2\right )^3} \, dx\)
 3.54 \(\int \frac{2+3 x+5 x^2}{\left (3-x+2 x^2\right )^3} \, dx\)
 3.55 \(\int \frac{1}{\left (3-x+2 x^2\right )^3 \left (2+3 x+5 x^2\right )} \, dx\)
 3.56 \(\int \frac{1}{\left (3-x+2 x^2\right )^3 \left (2+3 x+5 x^2\right )^2} \, dx\)
 3.57 \(\int \frac{1}{\left (3-x+2 x^2\right )^3 \left (2+3 x+5 x^2\right )^3} \, dx\)
 3.58 \(\int \sqrt{3-x+2 x^2} \left (2+3 x+5 x^2\right )^4 \, dx\)
 3.59 \(\int \sqrt{3-x+2 x^2} \left (2+3 x+5 x^2\right )^3 \, dx\)
 3.60 \(\int \sqrt{3-x+2 x^2} \left (2+3 x+5 x^2\right )^2 \, dx\)
 3.61 \(\int \sqrt{3-x+2 x^2} \left (2+3 x+5 x^2\right ) \, dx\)
 3.62 \(\int \frac{\sqrt{3-x+2 x^2}}{2+3 x+5 x^2} \, dx\)
 3.63 \(\int \frac{\sqrt{3-x+2 x^2}}{\left (2+3 x+5 x^2\right )^2} \, dx\)
 3.64 \(\int \frac{\sqrt{3-x+2 x^2}}{\left (2+3 x+5 x^2\right )^3} \, dx\)
 3.65 \(\int \left (3-x+2 x^2\right )^{3/2} \left (2+3 x+5 x^2\right )^4 \, dx\)
 3.66 \(\int \left (3-x+2 x^2\right )^{3/2} \left (2+3 x+5 x^2\right )^3 \, dx\)
 3.67 \(\int \left (3-x+2 x^2\right )^{3/2} \left (2+3 x+5 x^2\right )^2 \, dx\)
 3.68 \(\int \left (3-x+2 x^2\right )^{3/2} \left (2+3 x+5 x^2\right ) \, dx\)
 3.69 \(\int \frac{\left (3-x+2 x^2\right )^{3/2}}{2+3 x+5 x^2} \, dx\)
 3.70 \(\int \frac{\left (3-x+2 x^2\right )^{3/2}}{\left (2+3 x+5 x^2\right )^2} \, dx\)
 3.71 \(\int \frac{\left (3-x+2 x^2\right )^{3/2}}{\left (2+3 x+5 x^2\right )^3} \, dx\)
 3.72 \(\int \left (3-x+2 x^2\right )^{5/2} \left (2+3 x+5 x^2\right )^4 \, dx\)
 3.73 \(\int \left (3-x+2 x^2\right )^{5/2} \left (2+3 x+5 x^2\right )^3 \, dx\)
 3.74 \(\int \left (3-x+2 x^2\right )^{5/2} \left (2+3 x+5 x^2\right )^2 \, dx\)
 3.75 \(\int \left (3-x+2 x^2\right )^{5/2} \left (2+3 x+5 x^2\right ) \, dx\)
 3.76 \(\int \frac{\left (3-x+2 x^2\right )^{5/2}}{2+3 x+5 x^2} \, dx\)
 3.77 \(\int \frac{\left (3-x+2 x^2\right )^{5/2}}{\left (2+3 x+5 x^2\right )^2} \, dx\)
 3.78 \(\int \frac{\left (3-x+2 x^2\right )^{5/2}}{\left (2+3 x+5 x^2\right )^3} \, dx\)
 3.79 \(\int \frac{\left (2+3 x+5 x^2\right )^4}{\sqrt{3-x+2 x^2}} \, dx\)
 3.80 \(\int \frac{\left (2+3 x+5 x^2\right )^3}{\sqrt{3-x+2 x^2}} \, dx\)
 3.81 \(\int \frac{\left (2+3 x+5 x^2\right )^2}{\sqrt{3-x+2 x^2}} \, dx\)
 3.82 \(\int \frac{2+3 x+5 x^2}{\sqrt{3-x+2 x^2}} \, dx\)
 3.83 \(\int \frac{1}{\sqrt{3-x+2 x^2} \left (2+3 x+5 x^2\right )} \, dx\)
 3.84 \(\int \frac{1}{\sqrt{3-x+2 x^2} \left (2+3 x+5 x^2\right )^2} \, dx\)
 3.85 \(\int \frac{1}{\sqrt{3-x+2 x^2} \left (2+3 x+5 x^2\right )^3} \, dx\)
 3.86 \(\int \frac{\left (2+3 x+5 x^2\right )^4}{\left (3-x+2 x^2\right )^{3/2}} \, dx\)
 3.87 \(\int \frac{\left (2+3 x+5 x^2\right )^3}{\left (3-x+2 x^2\right )^{3/2}} \, dx\)
 3.88 \(\int \frac{\left (2+3 x+5 x^2\right )^2}{\left (3-x+2 x^2\right )^{3/2}} \, dx\)
 3.89 \(\int \frac{2+3 x+5 x^2}{\left (3-x+2 x^2\right )^{3/2}} \, dx\)
 3.90 \(\int \frac{1}{\left (3-x+2 x^2\right )^{3/2} \left (2+3 x+5 x^2\right )} \, dx\)
 3.91 \(\int \frac{1}{\left (3-x+2 x^2\right )^{3/2} \left (2+3 x+5 x^2\right )^2} \, dx\)
 3.92 \(\int \frac{1}{\left (3-x+2 x^2\right )^{3/2} \left (2+3 x+5 x^2\right )^3} \, dx\)
 3.93 \(\int \frac{\left (2+3 x+5 x^2\right )^4}{\left (3-x+2 x^2\right )^{5/2}} \, dx\)
 3.94 \(\int \frac{\left (2+3 x+5 x^2\right )^3}{\left (3-x+2 x^2\right )^{5/2}} \, dx\)
 3.95 \(\int \frac{\left (2+3 x+5 x^2\right )^2}{\left (3-x+2 x^2\right )^{5/2}} \, dx\)
 3.96 \(\int \frac{2+3 x+5 x^2}{\left (3-x+2 x^2\right )^{5/2}} \, dx\)
 3.97 \(\int \frac{1}{\left (3-x+2 x^2\right )^{5/2} \left (2+3 x+5 x^2\right )} \, dx\)
 3.98 \(\int \frac{1}{\left (3-x+2 x^2\right )^{5/2} \left (2+3 x+5 x^2\right )^2} \, dx\)
 3.99 \(\int \frac{1}{\left (3-x+2 x^2\right )^{5/2} \left (2+3 x+5 x^2\right )^3} \, dx\)
 3.100 \(\int \sqrt{a+b x+c x^2} \left (d+e x+f x^2\right )^2 \, dx\)
 3.101 \(\int \sqrt{a+b x+c x^2} \left (d+e x+f x^2\right ) \, dx\)
 3.102 \(\int \frac{\sqrt{a+b x+c x^2}}{d+e x+f x^2} \, dx\)
 3.103 \(\int \frac{\sqrt{a+b x+c x^2}}{\left (d+e x+f x^2\right )^2} \, dx\)
 3.104 \(\int \left (a+b x+c x^2\right )^{3/2} \left (d+e x+f x^2\right )^2 \, dx\)
 3.105 \(\int \left (a+b x+c x^2\right )^{3/2} \left (d+e x+f x^2\right ) \, dx\)
 3.106 \(\int \frac{\left (a+b x+c x^2\right )^{3/2}}{d+e x+f x^2} \, dx\)
 3.107 \(\int \frac{\left (a+b x+c x^2\right )^{3/2}}{\left (d+e x+f x^2\right )^2} \, dx\)
 3.108 \(\int \frac{\left (a+b x+c x^2\right )^{3/2}}{\left (d+e x+f x^2\right )^3} \, dx\)
 3.109 \(\int \frac{\left (d+e x+f x^2\right )^3}{\sqrt{a+b x+c x^2}} \, dx\)
 3.110 \(\int \frac{\left (d+e x+f x^2\right )^2}{\sqrt{a+b x+c x^2}} \, dx\)
 3.111 \(\int \frac{d+e x+f x^2}{\sqrt{a+b x+c x^2}} \, dx\)
 3.112 \(\int \frac{1}{\sqrt{a+b x+c x^2} \left (d+e x+f x^2\right )} \, dx\)
 3.113 \(\int \frac{1}{\sqrt{a+b x+c x^2} \left (d+e x+f x^2\right )^2} \, dx\)
 3.114 \(\int \frac{\left (d+e x+f x^2\right )^3}{\left (a+b x+c x^2\right )^{3/2}} \, dx\)
 3.115 \(\int \frac{\left (d+e x+f x^2\right )^2}{\left (a+b x+c x^2\right )^{3/2}} \, dx\)
 3.116 \(\int \frac{d+e x+f x^2}{\left (a+b x+c x^2\right )^{3/2}} \, dx\)
 3.117 \(\int \frac{1}{\left (a+b x+c x^2\right )^{3/2} \left (d+e x+f x^2\right )} \, dx\)
 3.118 \(\int \frac{\left (d+e x+f x^2\right )^3}{\left (a+b x+c x^2\right )^{5/2}} \, dx\)
 3.119 \(\int \frac{\left (d+e x+f x^2\right )^2}{\left (a+b x+c x^2\right )^{5/2}} \, dx\)
 3.120 \(\int \frac{d+e x+f x^2}{\left (a+b x+c x^2\right )^{5/2}} \, dx\)
 3.121 \(\int \frac{1}{\sqrt{-7+2 x+5 x^2} \left (8+12 x+5 x^2\right )} \, dx\)
 3.122 \(\int \frac{1}{\sqrt{a+b x+c x^2} \sqrt{d+e x+f x^2}} \, dx\)
 3.123 \(\int \frac{1}{\sqrt{3-x+2 x^2} \sqrt{2+3 x+5 x^2}} \, dx\)