3.6 Integrals 501 to 573

\(\int \genfrac {}{}{}{}{x^2}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}} \, dx\) [501]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x} \, dx\) [502]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^4} \, dx\) [503]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^7} \, dx\) [504]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^{10}} \, dx\) [505]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^{13}} \, dx\) [506]
\(\int \genfrac {}{}{}{}{x^7}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}} \, dx\) [507]
\(\int \genfrac {}{}{}{}{x^4}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}} \, dx\) [508]
\(\int \genfrac {}{}{}{}{x}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}} \, dx\) [509]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^2} \, dx\) [510]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^5} \, dx\) [511]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^8} \, dx\) [512]
\(\int \genfrac {}{}{}{}{x^6}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}} \, dx\) [513]
\(\int \genfrac {}{}{}{}{x^3}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}} \, dx\) [514]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2}} \, dx\) [515]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^3} \, dx\) [516]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^6} \, dx\) [517]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^9} \, dx\) [518]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^{3/2} x^{12}} \, dx\) [519]
\(\int \genfrac {}{}{}{}{1}{a+\genfrac {}{}{}{}{b}{x^4}} \, dx\) [520]
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^4}} x^3 \, dx\) [521]
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^4}} x \, dx\) [522]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}}}{x} \, dx\) [523]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}}}{x^3} \, dx\) [524]
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^4}} x^2 \, dx\) [525]
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^4}} \, dx\) [526]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}}}{x^2} \, dx\) [527]
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}}}{x^4} \, dx\) [528]
\(\int (a+\genfrac {}{}{}{}{b}{x^4})^{3/2} x^3 \, dx\) [529]
\(\int (a+\genfrac {}{}{}{}{b}{x^4})^{3/2} x \, dx\) [530]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2}}{x} \, dx\) [531]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2}}{x^3} \, dx\) [532]
\(\int (a+\genfrac {}{}{}{}{b}{x^4})^{3/2} x^2 \, dx\) [533]
\(\int (a+\genfrac {}{}{}{}{b}{x^4})^{3/2} \, dx\) [534]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2}}{x^2} \, dx\) [535]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2}}{x^4} \, dx\) [536]
\(\int (a+\genfrac {}{}{}{}{b}{x^4})^{5/2} x^3 \, dx\) [537]
\(\int (a+\genfrac {}{}{}{}{b}{x^4})^{5/2} x \, dx\) [538]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2}}{x} \, dx\) [539]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2}}{x^3} \, dx\) [540]
\(\int (a+\genfrac {}{}{}{}{b}{x^4})^{5/2} x^2 \, dx\) [541]
\(\int (a+\genfrac {}{}{}{}{b}{x^4})^{5/2} \, dx\) [542]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2}}{x^2} \, dx\) [543]
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2}}{x^4} \, dx\) [544]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}}} \, dx\) [545]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}}} \, dx\) [546]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}} x} \, dx\) [547]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}} x^3} \, dx\) [548]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}}} \, dx\) [549]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}}} \, dx\) [550]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}} x^2} \, dx\) [551]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^4}} x^4} \, dx\) [552]
\(\int \genfrac {}{}{}{}{x^3}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2}} \, dx\) [553]
\(\int \genfrac {}{}{}{}{x}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2}} \, dx\) [554]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2} x} \, dx\) [555]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2} x^3} \, dx\) [556]
\(\int \genfrac {}{}{}{}{x^2}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2}} \, dx\) [557]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2}} \, dx\) [558]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2} x^2} \, dx\) [559]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^4})^{3/2} x^4} \, dx\) [560]
\(\int \genfrac {}{}{}{}{x^3}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2}} \, dx\) [561]
\(\int \genfrac {}{}{}{}{x}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2}} \, dx\) [562]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2} x} \, dx\) [563]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2} x^3} \, dx\) [564]
\(\int \genfrac {}{}{}{}{x^2}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2}} \, dx\) [565]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2}} \, dx\) [566]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2} x^2} \, dx\) [567]
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^4})^{5/2} x^4} \, dx\) [568]
\(\int \genfrac {}{}{}{}{1}{a+\genfrac {}{}{}{}{b}{x^5}} \, dx\) [569]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^5}} x} \, dx\) [570]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-a+\genfrac {}{}{}{}{b}{x^5}} x} \, dx\) [571]
\(\int \genfrac {}{}{}{}{1}{a+\genfrac {}{}{}{}{b}{x^6}} \, dx\) [572]
\(\int \genfrac {}{}{}{}{1}{a+\genfrac {}{}{}{}{b}{x^8}} \, dx\) [573]