3.6 Integrals 501 to 600

\(\int \genfrac {}{}{}{}{x^5}{(8 c-d x^3) (c+d x^3)^{3/2}} \, dx\) [501]
\(\int \genfrac {}{}{}{}{x^2}{(8 c-d x^3) (c+d x^3)^{3/2}} \, dx\) [502]
\(\int \genfrac {}{}{}{}{1}{x (8 c-d x^3) (c+d x^3)^{3/2}} \, dx\) [503]
\(\int \genfrac {}{}{}{}{1}{x^4 (8 c-d x^3) (c+d x^3)^{3/2}} \, dx\) [504]
\(\int \genfrac {}{}{}{}{1}{x^7 (8 c-d x^3) (c+d x^3)^{3/2}} \, dx\) [505]
\(\int \genfrac {}{}{}{}{x^7}{(8 c-d x^3) (c+d x^3)^{3/2}} \, dx\) [506]
\(\int \genfrac {}{}{}{}{x^4}{(8 c-d x^3) (c+d x^3)^{3/2}} \, dx\) [507]
\(\int \genfrac {}{}{}{}{x}{(8 c-d x^3) (c+d x^3)^{3/2}} \, dx\) [508]
\(\int \genfrac {}{}{}{}{1}{x^2 (8 c-d x^3) (c+d x^3)^{3/2}} \, dx\) [509]
\(\int \genfrac {}{}{}{}{1}{x^5 (8 c-d x^3) (c+d x^3)^{3/2}} \, dx\) [510]
\(\int \genfrac {}{}{}{}{1}{x^8 (8 c-d x^3) (c+d x^3)^{3/2}} \, dx\) [511]
\(\int \genfrac {}{}{}{}{x^3}{(8 c-d x^3) (c+d x^3)^{3/2}} \, dx\) [512]
\(\int \genfrac {}{}{}{}{1}{(8 c-d x^3) (c+d x^3)^{3/2}} \, dx\) [513]
\(\int \genfrac {}{}{}{}{1}{x^3 (8 c-d x^3) (c+d x^3)^{3/2}} \, dx\) [514]
\(\int \genfrac {}{}{}{}{x \sqrt {a+b x^3}}{2 (5+3 \sqrt {3}) a+b x^3} \, dx\) [515]
\(\int \genfrac {}{}{}{}{x \sqrt {a-b x^3}}{2 (5+3 \sqrt {3}) a-b x^3} \, dx\) [516]
\(\int \genfrac {}{}{}{}{x \sqrt {-a+b x^3}}{-2 (5+3 \sqrt {3}) a+b x^3} \, dx\) [517]
\(\int \genfrac {}{}{}{}{x \sqrt {-a-b x^3}}{-2 (5+3 \sqrt {3}) a-b x^3} \, dx\) [518]
\(\int \genfrac {}{}{}{}{x \sqrt {a+b x^3}}{2 (5-3 \sqrt {3}) a+b x^3} \, dx\) [519]
\(\int \genfrac {}{}{}{}{x \sqrt {a-b x^3}}{2 (5-3 \sqrt {3}) a-b x^3} \, dx\) [520]
\(\int \genfrac {}{}{}{}{x \sqrt {-a+b x^3}}{2 (5-3 \sqrt {3}) a-b x^3} \, dx\) [521]
\(\int \genfrac {}{}{}{}{x \sqrt {-a-b x^3}}{2 (5-3 \sqrt {3}) a+b x^3} \, dx\) [522]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+b x^3} (2 (5+3 \sqrt {3}) a+b x^3)} \, dx\) [523]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a-b x^3} (2 (5+3 \sqrt {3}) a-b x^3)} \, dx\) [524]
\(\int \genfrac {}{}{}{}{x}{\sqrt {-a+b x^3} (-2 (5+3 \sqrt {3}) a+b x^3)} \, dx\) [525]
\(\int \genfrac {}{}{}{}{x}{\sqrt {-a-b x^3} (-2 (5+3 \sqrt {3}) a-b x^3)} \, dx\) [526]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+b x^3} (2 (5-3 \sqrt {3}) a+b x^3)} \, dx\) [527]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a-b x^3} (2 (5-3 \sqrt {3}) a-b x^3)} \, dx\) [528]
\(\int \genfrac {}{}{}{}{x}{(2 (5-3 \sqrt {3}) a-b x^3) \sqrt {-a+b x^3}} \, dx\) [529]
\(\int \genfrac {}{}{}{}{x}{\sqrt {-a-b x^3} (2 (5-3 \sqrt {3}) a+b x^3)} \, dx\) [530]
\(\int \genfrac {}{}{}{}{x^8 \sqrt {c+d x^3}}{a+b x^3} \, dx\) [531]
\(\int \genfrac {}{}{}{}{x^5 \sqrt {c+d x^3}}{a+b x^3} \, dx\) [532]
\(\int \genfrac {}{}{}{}{x^2 \sqrt {c+d x^3}}{a+b x^3} \, dx\) [533]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x^3}}{x (a+b x^3)} \, dx\) [534]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x^3}}{x^4 (a+b x^3)} \, dx\) [535]
\(\int \genfrac {}{}{}{}{x^3 \sqrt {c+d x^3}}{a+b x^3} \, dx\) [536]
\(\int \genfrac {}{}{}{}{x \sqrt {c+d x^3}}{a+b x^3} \, dx\) [537]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x^3}}{a+b x^3} \, dx\) [538]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x^3}}{x^2 (a+b x^3)} \, dx\) [539]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x^3}}{x^3 (a+b x^3)} \, dx\) [540]
\(\int \genfrac {}{}{}{}{x^8 (c+d x^3)^{3/2}}{a+b x^3} \, dx\) [541]
\(\int \genfrac {}{}{}{}{x^5 (c+d x^3)^{3/2}}{a+b x^3} \, dx\) [542]
\(\int \genfrac {}{}{}{}{x^2 (c+d x^3)^{3/2}}{a+b x^3} \, dx\) [543]
\(\int \genfrac {}{}{}{}{(c+d x^3)^{3/2}}{x (a+b x^3)} \, dx\) [544]
\(\int \genfrac {}{}{}{}{(c+d x^3)^{3/2}}{x^4 (a+b x^3)} \, dx\) [545]
\(\int \genfrac {}{}{}{}{x^3 (c+d x^3)^{3/2}}{a+b x^3} \, dx\) [546]
\(\int \genfrac {}{}{}{}{x (c+d x^3)^{3/2}}{a+b x^3} \, dx\) [547]
\(\int \genfrac {}{}{}{}{(c+d x^3)^{3/2}}{a+b x^3} \, dx\) [548]
\(\int \genfrac {}{}{}{}{(c+d x^3)^{3/2}}{x^2 (a+b x^3)} \, dx\) [549]
\(\int \genfrac {}{}{}{}{(c+d x^3)^{3/2}}{x^3 (a+b x^3)} \, dx\) [550]
\(\int \genfrac {}{}{}{}{x^8}{(a+b x^3) \sqrt {c+d x^3}} \, dx\) [551]
\(\int \genfrac {}{}{}{}{x^5}{(a+b x^3) \sqrt {c+d x^3}} \, dx\) [552]
\(\int \genfrac {}{}{}{}{x^2}{(a+b x^3) \sqrt {c+d x^3}} \, dx\) [553]
\(\int \genfrac {}{}{}{}{1}{x (a+b x^3) \sqrt {c+d x^3}} \, dx\) [554]
\(\int \genfrac {}{}{}{}{1}{x^4 (a+b x^3) \sqrt {c+d x^3}} \, dx\) [555]
\(\int \genfrac {}{}{}{}{x^3}{(a+b x^3) \sqrt {c+d x^3}} \, dx\) [556]
\(\int \genfrac {}{}{}{}{x}{(a+b x^3) \sqrt {c+d x^3}} \, dx\) [557]
\(\int \genfrac {}{}{}{}{1}{(a+b x^3) \sqrt {c+d x^3}} \, dx\) [558]
\(\int \genfrac {}{}{}{}{1}{x^2 (a+b x^3) \sqrt {c+d x^3}} \, dx\) [559]
\(\int \genfrac {}{}{}{}{1}{x^3 (a+b x^3) \sqrt {c+d x^3}} \, dx\) [560]
\(\int \genfrac {}{}{}{}{x^8}{(a+b x^3) (c+d x^3)^{3/2}} \, dx\) [561]
\(\int \genfrac {}{}{}{}{x^5}{(a+b x^3) (c+d x^3)^{3/2}} \, dx\) [562]
\(\int \genfrac {}{}{}{}{x^2}{(a+b x^3) (c+d x^3)^{3/2}} \, dx\) [563]
\(\int \genfrac {}{}{}{}{1}{x (a+b x^3) (c+d x^3)^{3/2}} \, dx\) [564]
\(\int \genfrac {}{}{}{}{1}{x^4 (a+b x^3) (c+d x^3)^{3/2}} \, dx\) [565]
\(\int \genfrac {}{}{}{}{x^3}{(a+b x^3) (c+d x^3)^{3/2}} \, dx\) [566]
\(\int \genfrac {}{}{}{}{x}{(a+b x^3) (c+d x^3)^{3/2}} \, dx\) [567]
\(\int \genfrac {}{}{}{}{1}{(a+b x^3) (c+d x^3)^{3/2}} \, dx\) [568]
\(\int \genfrac {}{}{}{}{1}{x^2 (a+b x^3) (c+d x^3)^{3/2}} \, dx\) [569]
\(\int \genfrac {}{}{}{}{1}{x^3 (a+b x^3) (c+d x^3)^{3/2}} \, dx\) [570]
\(\int \genfrac {}{}{}{}{x^{11} \sqrt {c+d x^3}}{(8 c-d x^3)^2} \, dx\) [571]
\(\int \genfrac {}{}{}{}{x^8 \sqrt {c+d x^3}}{(8 c-d x^3)^2} \, dx\) [572]
\(\int \genfrac {}{}{}{}{x^5 \sqrt {c+d x^3}}{(8 c-d x^3)^2} \, dx\) [573]
\(\int \genfrac {}{}{}{}{x^2 \sqrt {c+d x^3}}{(8 c-d x^3)^2} \, dx\) [574]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x^3}}{x (8 c-d x^3)^2} \, dx\) [575]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x^3}}{x^4 (8 c-d x^3)^2} \, dx\) [576]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x^3}}{x^7 (8 c-d x^3)^2} \, dx\) [577]
\(\int \genfrac {}{}{}{}{x^7 \sqrt {c+d x^3}}{(8 c-d x^3)^2} \, dx\) [578]
\(\int \genfrac {}{}{}{}{x^4 \sqrt {c+d x^3}}{(8 c-d x^3)^2} \, dx\) [579]
\(\int \genfrac {}{}{}{}{x \sqrt {c+d x^3}}{(8 c-d x^3)^2} \, dx\) [580]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x^3}}{x^2 (8 c-d x^3)^2} \, dx\) [581]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x^3}}{x^5 (8 c-d x^3)^2} \, dx\) [582]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x^3}}{x^8 (8 c-d x^3)^2} \, dx\) [583]
\(\int \genfrac {}{}{}{}{x^{11} (c+d x^3)^{3/2}}{(8 c-d x^3)^2} \, dx\) [584]
\(\int \genfrac {}{}{}{}{x^8 (c+d x^3)^{3/2}}{(8 c-d x^3)^2} \, dx\) [585]
\(\int \genfrac {}{}{}{}{x^5 (c+d x^3)^{3/2}}{(8 c-d x^3)^2} \, dx\) [586]
\(\int \genfrac {}{}{}{}{x^2 (c+d x^3)^{3/2}}{(8 c-d x^3)^2} \, dx\) [587]
\(\int \genfrac {}{}{}{}{(c+d x^3)^{3/2}}{x (8 c-d x^3)^2} \, dx\) [588]
\(\int \genfrac {}{}{}{}{(c+d x^3)^{3/2}}{x^4 (8 c-d x^3)^2} \, dx\) [589]
\(\int \genfrac {}{}{}{}{(c+d x^3)^{3/2}}{x^7 (8 c-d x^3)^2} \, dx\) [590]
\(\int \genfrac {}{}{}{}{x^7 (c+d x^3)^{3/2}}{(8 c-d x^3)^2} \, dx\) [591]
\(\int \genfrac {}{}{}{}{x^4 (c+d x^3)^{3/2}}{(8 c-d x^3)^2} \, dx\) [592]
\(\int \genfrac {}{}{}{}{x (c+d x^3)^{3/2}}{(8 c-d x^3)^2} \, dx\) [593]
\(\int \genfrac {}{}{}{}{(c+d x^3)^{3/2}}{x^2 (8 c-d x^3)^2} \, dx\) [594]
\(\int \genfrac {}{}{}{}{(c+d x^3)^{3/2}}{x^5 (8 c-d x^3)^2} \, dx\) [595]
\(\int \genfrac {}{}{}{}{(c+d x^3)^{3/2}}{x^8 (8 c-d x^3)^2} \, dx\) [596]
\(\int \genfrac {}{}{}{}{x^{11}}{(8 c-d x^3)^2 \sqrt {c+d x^3}} \, dx\) [597]
\(\int \genfrac {}{}{}{}{x^8}{(8 c-d x^3)^2 \sqrt {c+d x^3}} \, dx\) [598]
\(\int \genfrac {}{}{}{}{x^5}{(8 c-d x^3)^2 \sqrt {c+d x^3}} \, dx\) [599]
\(\int \genfrac {}{}{}{}{x^2}{(8 c-d x^3)^2 \sqrt {c+d x^3}} \, dx\) [600]