3.5 Integrals 401 to 413

3.5.1 \(\int (c+e x^2)^2 (a+c x^2+b x^4)^p \, dx\) [401]
3.5.2 \(\int (c+e x^2) (a+c x^2+b x^4)^p \, dx\) [402]
3.5.3 \(\int (a+c x^2+b x^4)^p \, dx\) [403]
3.5.4 \(\int \genfrac {}{}{}{}{(a+c x^2+b x^4)^p}{c+e x^2} \, dx\) [404]
3.5.5 \(\int \genfrac {}{}{}{}{(a+c x^2+b x^4)^p}{(c+e x^2)^2} \, dx\) [405]
3.5.6 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x) \sqrt {a+c x^4}} \, dx\) [406]
3.5.7 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x) \sqrt {-a+c x^4}} \, dx\) [407]
3.5.8 \(\int \genfrac {}{}{}{}{1-\sqrt {3}+x}{(1+\sqrt {3}+x) \sqrt {-4+4 \sqrt {3} x^2+x^4}} \, dx\) [408]
3.5.9 \(\int \genfrac {}{}{}{}{1+\sqrt {3}+x}{(1-\sqrt {3}+x) \sqrt {-4-4 \sqrt {3} x^2+x^4}} \, dx\) [409]
3.5.10 \(\int \genfrac {}{}{}{}{1-\sqrt {3}+2 x}{(1+\sqrt {3}+2 x) \sqrt {-1+4 \sqrt {3} x^2+4 x^4}} \, dx\) [410]
3.5.11 \(\int \genfrac {}{}{}{}{1+\sqrt {3}+2 x}{(1-\sqrt {3}+2 x) \sqrt {-1-4 \sqrt {3} x^2+4 x^4}} \, dx\) [411]
3.5.12 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x) \sqrt {a+b x^2+c x^4}} \, dx\) [412]
3.5.13 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x) \sqrt {-a+b x^2+c x^4}} \, dx\) [413]