Optimal. Leaf size=16 \[ \text{CannotIntegrate}\left (\frac{F(x)}{\sqrt{x-x^2}},x\right ) \]
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Rubi [A] time = 0.112653, antiderivative size = 0, normalized size of antiderivative = 0., number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \int \frac{F(x)}{\sqrt{1-x} \sqrt{x}} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{F(x)}{\sqrt{1-x} \sqrt{x}} \, dx &=\int \frac{F(x)}{\sqrt{x-x^2}} \, dx\\ \end{align*}
Mathematica [A] time = 0.0199639, size = 0, normalized size = 0. \[ \int \frac{F(x)}{\sqrt{1-x} \sqrt{x}} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.015, size = 0, normalized size = 0. \begin{align*} \int{F \left ( x \right ){\frac{1}{\sqrt{1-x}}}{\frac{1}{\sqrt{x}}}}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{F\left (x\right )}{\sqrt{x} \sqrt{-x + 1}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (-\frac{\sqrt{x} \sqrt{-x + 1} F\left (x\right )}{x^{2} - x}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{F{\left (x \right )}}{\sqrt{x} \sqrt{1 - x}}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{F\left (x\right )}{\sqrt{x} \sqrt{-x + 1}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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