3.5 Integrals 401 to 500

\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2} x^4} \, dx\) [401]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2} x^6} \, dx\) [402]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2} x^8} \, dx\) [403]
\(\int \genfrac {}{}{}{}{x^3}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2}} \, dx\) [404]
\(\int \genfrac {}{}{}{}{x}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2}} \, dx\) [405]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x} \, dx\) [406]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x^3} \, dx\) [407]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x^5} \, dx\) [408]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x^7} \, dx\) [409]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x^9} \, dx\) [410]
\(\int \genfrac {}{}{}{}{x^2}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2}} \, dx\) [411]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2}} \, dx\) [412]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x^2} \, dx\) [413]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x^4} \, dx\) [414]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x^6} \, dx\) [415]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x^8} \, dx\) [416]
\(\int \genfrac {}{}{}{}{\sqrt [3]{1+\genfrac {}{}{}{}{1}{x^2}}}{x^3} \, dx\) [417]
\(\int \genfrac {}{}{}{}{(1+\genfrac {}{}{}{}{1}{x^2})^{5/3}}{x^3} \, dx\) [418]
\(\int (1+\genfrac {}{}{}{}{b}{x^2})^{3/2} (c x)^m \, dx\) [419]
\(\int \sqrt {1+\genfrac {}{}{}{}{b}{x^2}} (c x)^m \, dx\) [420]
\(\int \genfrac {}{}{}{}{(c x)^m}{\sqrt {1+\genfrac {}{}{}{}{b}{x^2}}} \, dx\) [421]
\(\int \genfrac {}{}{}{}{(c x)^m}{(1+\genfrac {}{}{}{}{b}{x^2})^{3/2}} \, dx\) [422]
\(\int (1+\genfrac {}{}{}{}{b}{x^2})^p (c x)^m \, dx\) [423]
\(\int (a+\genfrac {}{}{}{}{b}{x^2})^p (c x)^m \, dx\) [424]
\(\int \genfrac {}{}{}{}{x^8}{a+\genfrac {}{}{}{}{b}{x^3}} \, dx\) [425]
\(\int \genfrac {}{}{}{}{x^5}{a+\genfrac {}{}{}{}{b}{x^3}} \, dx\) [426]
\(\int \genfrac {}{}{}{}{x^2}{a+\genfrac {}{}{}{}{b}{x^3}} \, dx\) [427]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3}) x} \, dx\) [428]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3}) x^4} \, dx\) [429]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3}) x^7} \, dx\) [430]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3}) x^{10}} \, dx\) [431]
\(\int \genfrac {}{}{}{}{x^4}{a+\genfrac {}{}{}{}{b}{x^3}} \, dx\) [432]
\(\int \genfrac {}{}{}{}{x^3}{a+\genfrac {}{}{}{}{b}{x^3}} \, dx\) [433]
\(\int \genfrac {}{}{}{}{x}{a+\genfrac {}{}{}{}{b}{x^3}} \, dx\) [434]
\(\int \genfrac {}{}{}{}{1}{a+\genfrac {}{}{}{}{b}{x^3}} \, dx\) [435]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3}) x^2} \, dx\) [436]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3}) x^3} \, dx\) [437]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3}) x^5} \, dx\) [438]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3}) x^6} \, dx\) [439]
\(\int \genfrac {}{}{}{}{x^5}{(a+\genfrac {}{}{}{}{b}{x^3})^2} \, dx\) [440]
\(\int \genfrac {}{}{}{}{x^2}{(a+\genfrac {}{}{}{}{b}{x^3})^2} \, dx\) [441]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^2 x} \, dx\) [442]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^2 x^4} \, dx\) [443]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^2 x^7} \, dx\) [444]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^2 x^{10}} \, dx\) [445]
\(\int \genfrac {}{}{}{}{x^3}{(a+\genfrac {}{}{}{}{b}{x^3})^2} \, dx\) [446]
\(\int \genfrac {}{}{}{}{x}{(a+\genfrac {}{}{}{}{b}{x^3})^2} \, dx\) [447]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^2} \, dx\) [448]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^2 x^2} \, dx\) [449]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^2 x^3} \, dx\) [450]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^2 x^5} \, dx\) [451]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^2 x^6} \, dx\) [452]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^2 x^8} \, dx\) [453]
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^5 \, dx\) [454]
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^2 \, dx\) [455]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x} \, dx\) [456]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^4} \, dx\) [457]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^7} \, dx\) [458]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^{10}} \, dx\) [459]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^{13}} \, dx\) [460]
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^7 \, dx\) [461]
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^4 \, dx\) [462]
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x \, dx\) [463]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^2} \, dx\) [464]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^5} \, dx\) [465]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^8} \, dx\) [466]
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^6 \, dx\) [467]
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^3 \, dx\) [468]
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^3}} \, dx\) [469]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^3} \, dx\) [470]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^6} \, dx\) [471]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^9} \, dx\) [472]
\(\int (a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^5 \, dx\) [473]
\(\int (a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^2 \, dx\) [474]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}}{x} \, dx\) [475]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}}{x^4} \, dx\) [476]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}}{x^7} \, dx\) [477]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}}{x^{10}} \, dx\) [478]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}}{x^{13}} \, dx\) [479]
\(\int \genfrac {}{}{}{}{x^5}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}} \, dx\) [480]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}} \, dx\) [481]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x} \, dx\) [482]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^4} \, dx\) [483]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^7} \, dx\) [484]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^{10}} \, dx\) [485]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^{13}} \, dx\) [486]
\(\int \genfrac {}{}{}{}{x^7}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}} \, dx\) [487]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}} \, dx\) [488]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}} \, dx\) [489]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^2} \, dx\) [490]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^5} \, dx\) [491]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^8} \, dx\) [492]
\(\int \genfrac {}{}{}{}{x^6}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}} \, dx\) [493]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}} \, dx\) [494]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}} \, dx\) [495]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^3} \, dx\) [496]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^6} \, dx\) [497]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^9} \, dx\) [498]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^{12}} \, dx\) [499]
\(\int \genfrac {}{}{}{}{x^5}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}} \, dx\) [500]