3.5 Integrals 401 to 493

\(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2}}{(a+c x^4)^3} \, dx\) [401]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2}}{(a+c x^4)^3} \, dx\) [402]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x^2} (a+c x^4)^3} \, dx\) [403]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{3/2} (a+c x^4)^3} \, dx\) [404]
\(\int \genfrac {}{}{}{}{(d+e x^2)^3}{\sqrt {a-c x^4}} \, dx\) [405]
\(\int \genfrac {}{}{}{}{(d+e x^2)^2}{\sqrt {a-c x^4}} \, dx\) [406]
\(\int \genfrac {}{}{}{}{d+e x^2}{\sqrt {a-c x^4}} \, dx\) [407]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a-c x^4}} \, dx\) [408]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) \sqrt {a-c x^4}} \, dx\) [409]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 \sqrt {a-c x^4}} \, dx\) [410]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^3 \sqrt {a-c x^4}} \, dx\) [411]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^4 \sqrt {a-c x^4}} \, dx\) [412]
\(\int \genfrac {}{}{}{}{(d+e x^2)^3}{(a-c x^4)^{3/2}} \, dx\) [413]
\(\int \genfrac {}{}{}{}{(d+e x^2)^2}{(a-c x^4)^{3/2}} \, dx\) [414]
\(\int \genfrac {}{}{}{}{d+e x^2}{(a-c x^4)^{3/2}} \, dx\) [415]
\(\int \genfrac {}{}{}{}{1}{(a-c x^4)^{3/2}} \, dx\) [416]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) (a-c x^4)^{3/2}} \, dx\) [417]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 (a-c x^4)^{3/2}} \, dx\) [418]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^3 (a-c x^4)^{3/2}} \, dx\) [419]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^4 (a-c x^4)^{3/2}} \, dx\) [420]
\(\int \genfrac {}{}{}{}{(d+e x^2)^4}{\sqrt {a+c x^4}} \, dx\) [421]
\(\int \genfrac {}{}{}{}{(d+e x^2)^3}{\sqrt {a+c x^4}} \, dx\) [422]
\(\int \genfrac {}{}{}{}{(d+e x^2)^2}{\sqrt {a+c x^4}} \, dx\) [423]
\(\int \genfrac {}{}{}{}{d+e x^2}{\sqrt {a+c x^4}} \, dx\) [424]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) \sqrt {a+c x^4}} \, dx\) [425]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^2 \sqrt {a+c x^4}} \, dx\) [426]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^3 \sqrt {a+c x^4}} \, dx\) [427]
\(\int \genfrac {}{}{}{}{d+e x^2}{\sqrt {-a+c x^4}} \, dx\) [428]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) \sqrt {-a+c x^4}} \, dx\) [429]
\(\int \genfrac {}{}{}{}{d+e x^2}{\sqrt {-a-c x^4}} \, dx\) [430]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2) \sqrt {-a-c x^4}} \, dx\) [431]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2) \sqrt {4-5 x^4}} \, dx\) [432]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2) \sqrt {4+5 x^4}} \, dx\) [433]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2) \sqrt {4-d x^4}} \, dx\) [434]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2) \sqrt {4+d x^4}} \, dx\) [435]
\(\int (d+e x^2)^{3/2} \sqrt {a-c x^4} \, dx\) [436]
\(\int \sqrt {d+e x^2} \sqrt {a-c x^4} \, dx\) [437]
\(\int \genfrac {}{}{}{}{\sqrt {a-c x^4}}{\sqrt {d+e x^2}} \, dx\) [438]
\(\int \genfrac {}{}{}{}{\sqrt {a-c x^4}}{(d+e x^2)^{3/2}} \, dx\) [439]
\(\int \genfrac {}{}{}{}{\sqrt {a-c x^4}}{(d+e x^2)^{5/2}} \, dx\) [440]
\(\int \genfrac {}{}{}{}{\sqrt {a-c x^4}}{(d+e x^2)^{7/2}} \, dx\) [441]
\(\int \genfrac {}{}{}{}{\sqrt {a-c x^4}}{(d+e x^2)^{9/2}} \, dx\) [442]
\(\int (d+e x^2)^{3/2} (a-c x^4)^{3/2} \, dx\) [443]
\(\int \sqrt {d+e x^2} (a-c x^4)^{3/2} \, dx\) [444]
\(\int \genfrac {}{}{}{}{(a-c x^4)^{3/2}}{\sqrt {d+e x^2}} \, dx\) [445]
\(\int \genfrac {}{}{}{}{(a-c x^4)^{3/2}}{(d+e x^2)^{3/2}} \, dx\) [446]
\(\int \genfrac {}{}{}{}{(a-c x^4)^{3/2}}{(d+e x^2)^{5/2}} \, dx\) [447]
\(\int \genfrac {}{}{}{}{(a-c x^4)^{3/2}}{(d+e x^2)^{7/2}} \, dx\) [448]
\(\int \genfrac {}{}{}{}{(a-c x^4)^{3/2}}{(d+e x^2)^{9/2}} \, dx\) [449]
\(\int \genfrac {}{}{}{}{(a-c x^4)^{3/2}}{(d+e x^2)^{11/2}} \, dx\) [450]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{5/2}}{\sqrt {a-c x^4}} \, dx\) [451]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2}}{\sqrt {a-c x^4}} \, dx\) [452]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2}}{\sqrt {a-c x^4}} \, dx\) [453]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x^2} \sqrt {a-c x^4}} \, dx\) [454]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{3/2} \sqrt {a-c x^4}} \, dx\) [455]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{5/2} \sqrt {a-c x^4}} \, dx\) [456]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{7/2} \sqrt {a-c x^4}} \, dx\) [457]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{7/2}}{(a-c x^4)^{3/2}} \, dx\) [458]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{5/2}}{(a-c x^4)^{3/2}} \, dx\) [459]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2}}{(a-c x^4)^{3/2}} \, dx\) [460]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2}}{(a-c x^4)^{3/2}} \, dx\) [461]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x^2} (a-c x^4)^{3/2}} \, dx\) [462]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{3/2} (a-c x^4)^{3/2}} \, dx\) [463]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{5/2} (a-c x^4)^{3/2}} \, dx\) [464]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{9/2}}{(a-c x^4)^{5/2}} \, dx\) [465]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{7/2}}{(a-c x^4)^{5/2}} \, dx\) [466]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{5/2}}{(a-c x^4)^{5/2}} \, dx\) [467]
\(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2}}{(a-c x^4)^{5/2}} \, dx\) [468]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x^2}}{(a-c x^4)^{5/2}} \, dx\) [469]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x^2} (a-c x^4)^{5/2}} \, dx\) [470]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{3/2} (a-c x^4)^{5/2}} \, dx\) [471]
\(\int \genfrac {}{}{}{}{1}{(d+e x^2)^{5/2} (a-c x^4)^{5/2}} \, dx\) [472]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{\sqrt {1-x^4}} \, dx\) [473]
\(\int (d+e x^2)^q (a+c x^4)^2 \, dx\) [474]
\(\int (d+e x^2)^q (a+c x^4) \, dx\) [475]
\(\int (d+e x^2)^q \, dx\) [476]
\(\int \genfrac {}{}{}{}{(d+e x^2)^q}{a+c x^4} \, dx\) [477]
\(\int \genfrac {}{}{}{}{(d+e x^2)^q}{(a+c x^4)^2} \, dx\) [478]
\(\int \genfrac {}{}{}{}{(d+e x^2)^q}{(a+c x^4)^3} \, dx\) [479]
\(\int (c+e x^2)^q (a+b x^4)^p \, dx\) [480]
\(\int (c+d x^2)^3 (a+b x^4)^p \, dx\) [481]
\(\int (c+d x^2)^2 (a+b x^4)^p \, dx\) [482]
\(\int (c+d x^2) (a+b x^4)^p \, dx\) [483]
\(\int (a+b x^4)^p \, dx\) [484]
\(\int \genfrac {}{}{}{}{(a+b x^4)^p}{c+d x^2} \, dx\) [485]
\(\int \genfrac {}{}{}{}{(a+b x^4)^p}{(c+d x^2)^2} \, dx\) [486]
\(\int (1-x^2)^3 (1+b x^4)^p \, dx\) [487]
\(\int (1-x^2)^2 (1+b x^4)^p \, dx\) [488]
\(\int (1-x^2) (1+b x^4)^p \, dx\) [489]
\(\int (1+b x^4)^p \, dx\) [490]
\(\int \genfrac {}{}{}{}{(1+b x^4)^p}{1-x^2} \, dx\) [491]
\(\int \genfrac {}{}{}{}{(1+b x^4)^p}{(1-x^2)^2} \, dx\) [492]
\(\int \genfrac {}{}{}{}{(1+b x^4)^p}{(1-x^2)^3} \, dx\) [493]