3.1 \(\int \left (a+b x^2\right ) \left (c+d x^2\right ) \left (e+f x^2\right )^4 \, dx\)
 3.2 \(\int \left (a+b x^2\right ) \left (c+d x^2\right ) \left (e+f x^2\right )^3 \, dx\)
 3.3 \(\int \left (a+b x^2\right ) \left (c+d x^2\right ) \left (e+f x^2\right )^2 \, dx\)
 3.4 \(\int \left (a+b x^2\right ) \left (c+d x^2\right ) \left (e+f x^2\right ) \, dx\)
 3.5 \(\int \frac{\left (a+b x^2\right ) \left (c+d x^2\right )}{e+f x^2} \, dx\)
 3.6 \(\int \frac{\left (a+b x^2\right ) \left (c+d x^2\right )}{\left (e+f x^2\right )^2} \, dx\)
 3.7 \(\int \frac{\left (a+b x^2\right ) \left (c+d x^2\right )}{\left (e+f x^2\right )^3} \, dx\)
 3.8 \(\int \frac{\left (a+b x^2\right ) \left (c+d x^2\right )}{\left (e+f x^2\right )^4} \, dx\)
 3.9 \(\int \left (a+b x^2\right ) \left (c+d x^2\right )^2 \left (e+f x^2\right )^3 \, dx\)
 3.10 \(\int \left (a+b x^2\right ) \left (c+d x^2\right )^2 \left (e+f x^2\right )^2 \, dx\)
 3.11 \(\int \left (a+b x^2\right ) \left (c+d x^2\right )^2 \left (e+f x^2\right ) \, dx\)
 3.12 \(\int \frac{\left (a+b x^2\right ) \left (c+d x^2\right )^2}{e+f x^2} \, dx\)
 3.13 \(\int \frac{\left (a+b x^2\right ) \left (c+d x^2\right )^2}{\left (e+f x^2\right )^2} \, dx\)
 3.14 \(\int \frac{\left (a+b x^2\right ) \left (c+d x^2\right )^2}{\left (e+f x^2\right )^3} \, dx\)
 3.15 \(\int \frac{\left (a+b x^2\right ) \left (c+d x^2\right )^2}{\left (e+f x^2\right )^4} \, dx\)
 3.16 \(\int \left (a+b x^2\right ) \left (c+d x^2\right )^3 \left (e+f x^2\right )^3 \, dx\)
 3.17 \(\int \left (a+b x^2\right ) \left (c+d x^2\right )^3 \left (e+f x^2\right )^2 \, dx\)
 3.18 \(\int \left (a+b x^2\right ) \left (c+d x^2\right )^3 \left (e+f x^2\right ) \, dx\)
 3.19 \(\int \frac{\left (a+b x^2\right ) \left (c+d x^2\right )^3}{e+f x^2} \, dx\)
 3.20 \(\int \frac{\left (a+b x^2\right ) \left (c+d x^2\right )^3}{\left (e+f x^2\right )^2} \, dx\)
 3.21 \(\int \frac{\left (a+b x^2\right ) \left (c+d x^2\right )^3}{\left (e+f x^2\right )^3} \, dx\)
 3.22 \(\int \frac{\left (a+b x^2\right ) \left (c+d x^2\right )^3}{\left (e+f x^2\right )^4} \, dx\)
 3.23 \(\int \left (a+b x^2\right ) \left (c+d x^2\right )^{3/2} \sqrt{e+f x^2} \, dx\)
 3.24 \(\int \left (a+b x^2\right ) \sqrt{c+d x^2} \sqrt{e+f x^2} \, dx\)
 3.25 \(\int \frac{\left (a+b x^2\right ) \sqrt{e+f x^2}}{\sqrt{c+d x^2}} \, dx\)
 3.26 \(\int \frac{\left (a+b x^2\right ) \sqrt{e+f x^2}}{\left (c+d x^2\right )^{3/2}} \, dx\)
 3.27 \(\int \frac{\left (a+b x^2\right ) \sqrt{e+f x^2}}{\left (c+d x^2\right )^{5/2}} \, dx\)
 3.28 \(\int \frac{\left (a+b x^2\right ) \sqrt{e+f x^2}}{\left (c+d x^2\right )^{7/2}} \, dx\)
 3.29 \(\int \left (a+b x^2\right ) \sqrt{c+d x^2} \left (e+f x^2\right )^{3/2} \, dx\)
 3.30 \(\int \frac{\left (a+b x^2\right ) \left (e+f x^2\right )^{3/2}}{\sqrt{c+d x^2}} \, dx\)
 3.31 \(\int \frac{\left (a+b x^2\right ) \left (e+f x^2\right )^{3/2}}{\left (c+d x^2\right )^{3/2}} \, dx\)
 3.32 \(\int \frac{\left (a+b x^2\right ) \left (e+f x^2\right )^{3/2}}{\left (c+d x^2\right )^{5/2}} \, dx\)
 3.33 \(\int \frac{\left (a+b x^2\right ) \left (e+f x^2\right )^{3/2}}{\left (c+d x^2\right )^{7/2}} \, dx\)
 3.34 \(\int \frac{\left (a+b x^2\right ) \left (e+f x^2\right )^{3/2}}{\left (c+d x^2\right )^{9/2}} \, dx\)
 3.35 \(\int \frac{\left (a+b x^2\right ) \left (c+d x^2\right )^{5/2}}{\sqrt{e+f x^2}} \, dx\)
 3.36 \(\int \frac{\left (a+b x^2\right ) \left (c+d x^2\right )^{3/2}}{\sqrt{e+f x^2}} \, dx\)
 3.37 \(\int \frac{\left (a+b x^2\right ) \sqrt{c+d x^2}}{\sqrt{e+f x^2}} \, dx\)
 3.38 \(\int \frac{a+b x^2}{\sqrt{c+d x^2} \sqrt{e+f x^2}} \, dx\)
 3.39 \(\int \frac{a+b x^2}{\left (c+d x^2\right )^{3/2} \sqrt{e+f x^2}} \, dx\)
 3.40 \(\int \frac{a+b x^2}{\left (c+d x^2\right )^{5/2} \sqrt{e+f x^2}} \, dx\)
 3.41 \(\int \frac{a+b x^2}{\left (c+d x^2\right )^{7/2} \sqrt{e+f x^2}} \, dx\)
 3.42 \(\int \frac{\left (a+b x^2\right ) \left (c+d x^2\right )^{5/2}}{\left (e+f x^2\right )^{3/2}} \, dx\)
 3.43 \(\int \frac{\left (a+b x^2\right ) \left (c+d x^2\right )^{3/2}}{\left (e+f x^2\right )^{3/2}} \, dx\)
 3.44 \(\int \frac{\left (a+b x^2\right ) \sqrt{c+d x^2}}{\left (e+f x^2\right )^{3/2}} \, dx\)
 3.45 \(\int \frac{a+b x^2}{\sqrt{c+d x^2} \left (e+f x^2\right )^{3/2}} \, dx\)
 3.46 \(\int \frac{a+b x^2}{\left (c+d x^2\right )^{3/2} \left (e+f x^2\right )^{3/2}} \, dx\)
 3.47 \(\int \frac{a+b x^2}{\left (c+d x^2\right )^{5/2} \left (e+f x^2\right )^{3/2}} \, dx\)
 3.48 \(\int \frac{e+f x^2}{\sqrt{a+b x^2} \left (c+d x^2\right )^{3/2}} \, dx\)
 3.49 \(\int \frac{e+f x^2}{\sqrt{a-b x^2} \left (c+d x^2\right )^{3/2}} \, dx\)
 3.50 \(\int \frac{e+f x^2}{\sqrt{a+b x^2} \left (c-d x^2\right )^{3/2}} \, dx\)
 3.51 \(\int \frac{e+f x^2}{\sqrt{a-b x^2} \left (c-d x^2\right )^{3/2}} \, dx\)
 3.52 \(\int \frac{a+b x^2}{\sqrt{2+d x^2} \sqrt{3+f x^2}} \, dx\)
 3.53 \(\int \frac{\left (a+b x^2\right ) \sqrt{2+d x^2}}{\sqrt{3+f x^2}} \, dx\)
 3.54 \(\int \left (a+b x^2\right ) \sqrt{2+d x^2} \sqrt{3+f x^2} \, dx\)
 3.55 \(\int \frac{-b-\sqrt{b^2-4 a c}+2 c x^2}{\sqrt{1+\frac{2 c x^2}{-b-\sqrt{b^2-4 a c}}} \sqrt{1+\frac{2 c x^2}{-b+\sqrt{b^2-4 a c}}}} \, dx\)
 3.56 \(\int \frac{b-\sqrt{b^2-4 a c}+2 c x^2}{\sqrt{1+\frac{2 c x^2}{b-\sqrt{b^2-4 a c}}} \sqrt{1+\frac{2 c x^2}{b+\sqrt{b^2-4 a c}}}} \, dx\)
 3.57 \(\int \frac{\left (a+b x^2\right ) \sqrt{c+d x^2}}{e+f x^2} \, dx\)
 3.58 \(\int \frac{\left (a+b x^2\right )^3}{\left (c+d x^2\right ) \sqrt{e+f x^2}} \, dx\)
 3.59 \(\int \frac{\left (a+b x^2\right )^2}{\left (c+d x^2\right ) \sqrt{e+f x^2}} \, dx\)
 3.60 \(\int \frac{a+b x^2}{\left (c+d x^2\right ) \sqrt{e+f x^2}} \, dx\)
 3.61 \(\int \frac{1}{\left (c+d x^2\right ) \sqrt{e+f x^2}} \, dx\)
 3.62 \(\int \frac{1}{\left (a+b x^2\right ) \left (c+d x^2\right ) \sqrt{e+f x^2}} \, dx\)
 3.63 \(\int \frac{1}{\left (a+b x^2\right )^2 \left (c+d x^2\right ) \sqrt{e+f x^2}} \, dx\)
 3.64 \(\int \frac{\left (c+d x^2\right )^{5/2} \sqrt{e+f x^2}}{a+b x^2} \, dx\)
 3.65 \(\int \frac{\left (c+d x^2\right )^{3/2} \sqrt{e+f x^2}}{a+b x^2} \, dx\)
 3.66 \(\int \frac{\sqrt{c+d x^2} \sqrt{e+f x^2}}{a+b x^2} \, dx\)
 3.67 \(\int \frac{\sqrt{e+f x^2}}{\left (a+b x^2\right ) \sqrt{c+d x^2}} \, dx\)
 3.68 \(\int \frac{\sqrt{e+f x^2}}{\left (a+b x^2\right ) \left (c+d x^2\right )^{3/2}} \, dx\)
 3.69 \(\int \frac{\sqrt{e+f x^2}}{\left (a+b x^2\right ) \left (c+d x^2\right )^{5/2}} \, dx\)
 3.70 \(\int \frac{\sqrt{e+f x^2}}{\left (a+b x^2\right ) \left (c+d x^2\right )^{7/2}} \, dx\)
 3.71 \(\int \frac{\left (c+d x^2\right )^{3/2} \left (e+f x^2\right )^{3/2}}{a+b x^2} \, dx\)
 3.72 \(\int \frac{\sqrt{c+d x^2} \left (e+f x^2\right )^{3/2}}{a+b x^2} \, dx\)
 3.73 \(\int \frac{\left (e+f x^2\right )^{3/2}}{\left (a+b x^2\right ) \sqrt{c+d x^2}} \, dx\)
 3.74 \(\int \frac{\left (e+f x^2\right )^{3/2}}{\left (a+b x^2\right ) \left (c+d x^2\right )^{3/2}} \, dx\)
 3.75 \(\int \frac{\left (e+f x^2\right )^{3/2}}{\left (a+b x^2\right ) \left (c+d x^2\right )^{5/2}} \, dx\)
 3.76 \(\int \frac{\left (e+f x^2\right )^{3/2}}{\left (a+b x^2\right ) \left (c+d x^2\right )^{7/2}} \, dx\)
 3.77 \(\int \frac{\left (c+d x^2\right )^{5/2}}{\left (a+b x^2\right ) \sqrt{e+f x^2}} \, dx\)
 3.78 \(\int \frac{\left (c+d x^2\right )^{3/2}}{\left (a+b x^2\right ) \sqrt{e+f x^2}} \, dx\)
 3.79 \(\int \frac{\sqrt{c+d x^2}}{\left (a+b x^2\right ) \sqrt{e+f x^2}} \, dx\)
 3.80 \(\int \frac{1}{\left (a+b x^2\right ) \sqrt{c+d x^2} \sqrt{e+f x^2}} \, dx\)
 3.81 \(\int \frac{1}{\left (a+b x^2\right ) \left (c+d x^2\right )^{3/2} \sqrt{e+f x^2}} \, dx\)
 3.82 \(\int \frac{1}{\left (a+b x^2\right ) \left (c+d x^2\right )^{5/2} \sqrt{e+f x^2}} \, dx\)
 3.83 \(\int \frac{\left (c+d x^2\right )^{5/2}}{\left (a+b x^2\right ) \left (e+f x^2\right )^{3/2}} \, dx\)
 3.84 \(\int \frac{\left (c+d x^2\right )^{3/2}}{\left (a+b x^2\right ) \left (e+f x^2\right )^{3/2}} \, dx\)
 3.85 \(\int \frac{\sqrt{c+d x^2}}{\left (a+b x^2\right ) \left (e+f x^2\right )^{3/2}} \, dx\)
 3.86 \(\int \frac{1}{\left (a+b x^2\right ) \sqrt{c+d x^2} \left (e+f x^2\right )^{3/2}} \, dx\)
 3.87 \(\int \frac{1}{\left (a+b x^2\right ) \left (c+d x^2\right )^{3/2} \left (e+f x^2\right )^{3/2}} \, dx\)
 3.88 \(\int \frac{1}{\left (a+b x^2\right ) \left (c+d x^2\right )^{5/2} \left (e+f x^2\right )^{3/2}} \, dx\)
 3.89 \(\int \frac{\left (1+x^2\right )^{3/2} \sqrt{2+x^2}}{a+b x^2} \, dx\)
 3.90 \(\int \frac{\sqrt{1+x^2} \sqrt{2+x^2}}{a+b x^2} \, dx\)
 3.91 \(\int \frac{\sqrt{2+x^2}}{\sqrt{1+x^2} \left (a+b x^2\right )} \, dx\)
 3.92 \(\int \frac{\sqrt{2+x^2}}{\left (1+x^2\right )^{3/2} \left (a+b x^2\right )} \, dx\)
 3.93 \(\int \frac{\sqrt{2+x^2}}{\left (1+x^2\right )^{5/2} \left (a+b x^2\right )} \, dx\)
 3.94 \(\int \frac{\sqrt{2+d x^2} \sqrt{3+f x^2}}{a+b x^2} \, dx\)
 3.95 \(\int \frac{\sqrt{2+d x^2}}{\left (a+b x^2\right ) \sqrt{3+f x^2}} \, dx\)
 3.96 \(\int \frac{1}{\left (a+b x^2\right ) \sqrt{2+d x^2} \sqrt{3+f x^2}} \, dx\)
 3.97 \(\int \frac{\sqrt{1-x^2}}{\left (-1+x^2\right ) \sqrt{a+b x^2}} \, dx\)
 3.98 \(\int \frac{a+b x^2}{\sqrt{c+d x^2} \left (e+f x^2\right )^2} \, dx\)
 3.99 \(\int \frac{\sqrt{c-d x^2} \sqrt{e+f x^2}}{\left (a+b x^2\right )^2} \, dx\)
 3.100 \(\int \frac{\sqrt{c+d x^2} \sqrt{e+f x^2}}{\left (a+b x^2\right )^2} \, dx\)
 3.101 \(\int \frac{1}{\left (a+b x^2\right )^2 \sqrt{c-d x^2} \sqrt{e+f x^2}} \, dx\)
 3.102 \(\int \frac{1}{\left (a+b x^2\right )^2 \sqrt{c+d x^2} \sqrt{e+f x^2}} \, dx\)
 3.103 \(\int \frac{\left (a+b x^2\right )^{3/2} \sqrt{c+d x^2}}{\sqrt{e+f x^2}} \, dx\)
 3.104 \(\int \frac{\sqrt{a+b x^2} \sqrt{c+d x^2}}{\sqrt{e+f x^2}} \, dx\)
 3.105 \(\int \frac{\sqrt{c+d x^2}}{\sqrt{a+b x^2} \sqrt{e+f x^2}} \, dx\)
 3.106 \(\int \frac{\sqrt{c+d x^2}}{\left (a+b x^2\right )^{3/2} \sqrt{e+f x^2}} \, dx\)
 3.107 \(\int \frac{\left (a+b x^2\right )^{3/2} \sqrt{c+d x^2}}{\left (e+f x^2\right )^{3/2}} \, dx\)
 3.108 \(\int \frac{\sqrt{a+b x^2} \sqrt{c+d x^2}}{\left (e+f x^2\right )^{3/2}} \, dx\)
 3.109 \(\int \frac{\sqrt{c+d x^2}}{\sqrt{a+b x^2} \left (e+f x^2\right )^{3/2}} \, dx\)
 3.110 \(\int \frac{\sqrt{c+d x^2}}{\left (a+b x^2\right )^{3/2} \left (e+f x^2\right )^{3/2}} \, dx\)
 3.111 \(\int \frac{\sqrt{c+d x^2} \sqrt{e+f x^2}}{\sqrt{a+b x^2}} \, dx\)
 3.112 \(\int \frac{\left (a+b x^2\right )^{3/2}}{\sqrt{c+d x^2} \sqrt{e+f x^2}} \, dx\)
 3.113 \(\int \frac{\sqrt{a+b x^2}}{\sqrt{c+d x^2} \sqrt{e+f x^2}} \, dx\)
 3.114 \(\int \frac{1}{\sqrt{a+b x^2} \sqrt{c+d x^2} \sqrt{e+f x^2}} \, dx\)
 3.115 \(\int \frac{1}{\left (a+b x^2\right )^{3/2} \sqrt{c+d x^2} \sqrt{e+f x^2}} \, dx\)