Optimal. Leaf size=17 \[ \text {Int}\left (\frac {F(x)}{\sqrt {x-x^2}},x\right ) \]
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Rubi [A] time = 0.04, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int \frac {F(x)}{\sqrt {x-x^2}} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin {align*} \int \frac {F(x)}{\sqrt {x-x^2}} \, dx &=\int \frac {F(x)}{\sqrt {x-x^2}} \, dx\\ \end {align*}
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Mathematica [A] time = 0.18, size = 0, normalized size = 0.00 \[ \int \frac {F(x)}{\sqrt {x-x^2}} \, dx \]
Verification is Not applicable to the result.
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fricas [A] time = 0.41, size = 0, normalized size = 0.00 \[ {\rm integral}\left (-\frac {\sqrt {-x^{2} + x} F\relax (x)}{x^{2} - x}, x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {F\relax (x)}{\sqrt {-x^{2} + x}}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.07, size = 0, normalized size = 0.00 \[ \int \frac {F \relax (x )}{\sqrt {-x^{2}+x}}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {F\relax (x)}{\sqrt {-x^{2} + x}}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [A] time = 0.00, size = -1, normalized size = -0.06 \[ \int \frac {F\relax (x)}{\sqrt {x-x^2}} \,d x \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {F{\relax (x )}}{\sqrt {- x \left (x - 1\right )}}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
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