\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a}{x}}}{\sqrt {1+x^3}} \, dx\) [501]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a}{x^2}}}{\sqrt {1+x^3}} \, dx\) [502]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a}{x^3}}}{\sqrt {1+x^3}} \, dx\) [503]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a}{x^4}}}{\sqrt {1+x^3}} \, dx\) [504]
\(\int \genfrac {}{}{}{}{\sqrt {a x^{23}}}{\sqrt {1+x^5}} \, dx\) [505]
\(\int \genfrac {}{}{}{}{\sqrt {a x^{13}}}{\sqrt {1+x^5}} \, dx\) [506]
\(\int \genfrac {}{}{}{}{\sqrt {a x^3}}{\sqrt {1+x^5}} \, dx\) [507]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a}{x^7}}}{\sqrt {1+x^5}} \, dx\) [508]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a}{x^{17}}}}{\sqrt {1+x^5}} \, dx\) [509]
\(\int \genfrac {}{}{}{}{\sqrt {a x^{2 n}}}{\sqrt {1+x^n}} \, dx\) [510]
\(\int \genfrac {}{}{}{}{\sqrt {a x^n}}{\sqrt {1+x^n}} \, dx\) [511]
\(\int \genfrac {}{}{}{}{\sqrt {a x^{n/2}}}{\sqrt {1+x^n}} \, dx\) [512]
\(\int (\genfrac {}{}{}{}{\sqrt {a x^{2 n}}}{\sqrt {1+x^n}}+\genfrac {}{}{}{}{2 x^{-n} \sqrt {a x^{2 n}}}{(2+n) \sqrt {1+x^n}}) \, dx\) [513]
\(\int \genfrac {}{}{}{}{(x^2)^{-p} (1+b x^2)^p}{x (c+d x^2)} \, dx\) [514]
\(\int \genfrac {}{}{}{}{(x^2)^{-p} (1+b x^2)^p}{c x+d x^3} \, dx\) [515]
\(\int \genfrac {}{}{}{}{x^{-1-2 p} (1+b x^2)^p}{c+d x^2} \, dx\) [516]
\(\int \genfrac {}{}{}{}{x^{-2 p} (1+b x^2)^p}{c x+d x^3} \, dx\) [517]
\(\int \genfrac {}{}{}{}{\sqrt {a x^6}}{x (1-x^4)} \, dx\) [518]
\(\int \genfrac {}{}{}{}{\sqrt {a x^6}}{x-x^5} \, dx\) [519]
\(\int \genfrac {}{}{}{}{(a x^6)^{3/2}}{x (1-x^4)} \, dx\) [520]
\(\int (\genfrac {}{}{}{}{1}{1-x^4}-\genfrac {}{}{}{}{\sqrt {a x^6}}{x (1-x^4)}) \, dx\) [521]
\(\int (\genfrac {}{}{}{}{1}{1-x^4}-\genfrac {}{}{}{}{\sqrt {a x^6}}{x-x^5}) \, dx\) [522]
\(\int \genfrac {}{}{}{}{\sqrt {a x^3}}{x-x^3} \, dx\) [523]
\(\int \genfrac {}{}{}{}{x^3 (1+a x)}{\sqrt {a x} \sqrt {1-a x}} \, dx\) [524]
\(\int \genfrac {}{}{}{}{x^2 (1+a x)}{\sqrt {a x} \sqrt {1-a x}} \, dx\) [525]
\(\int \genfrac {}{}{}{}{x (1+a x)}{\sqrt {a x} \sqrt {1-a x}} \, dx\) [526]
\(\int \genfrac {}{}{}{}{1+a x}{\sqrt {a x} \sqrt {1-a x}} \, dx\) [527]
\(\int \genfrac {}{}{}{}{1+a x}{x \sqrt {a x} \sqrt {1-a x}} \, dx\) [528]
\(\int \genfrac {}{}{}{}{1+a x}{x^2 \sqrt {a x} \sqrt {1-a x}} \, dx\) [529]
\(\int \genfrac {}{}{}{}{1+a x}{x^3 \sqrt {a x} \sqrt {1-a x}} \, dx\) [530]
\(\int \genfrac {}{}{}{}{1+a x}{x^4 \sqrt {a x} \sqrt {1-a x}} \, dx\) [531]
\(\int \genfrac {}{}{}{}{1+a x}{x^5 \sqrt {a x} \sqrt {1-a x}} \, dx\) [532]
\(\int \genfrac {}{}{}{}{\sqrt {a x}}{\sqrt {d+e x} \sqrt {e+f x}} \, dx\) [533]
\(\int \genfrac {}{}{}{}{\sqrt {1-x}}{\sqrt {x} \sqrt {1+x}} \, dx\) [534]
\(\int -\genfrac {}{}{}{}{\sqrt {1-x} \sqrt {x}}{\sqrt {-x} \sqrt {-x (1+x)}} \, dx\) [535]
\(\int \genfrac {}{}{}{}{\sqrt {-1+\genfrac {}{}{}{}{1}{x}} \sqrt {\genfrac {}{}{}{}{1}{x}} \sqrt {x}}{\sqrt {1+x}} \, dx\) [536]