Optimal. Leaf size=14 \[ \text{CannotIntegrate}\left (F\left (\frac{x^2}{(a+b x)^2}\right ),x\right ) \]
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Rubi [A] time = 0.0084059, 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 = {} \[ \int F\left (\frac{x^2}{(a+b x)^2}\right ) \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int F\left (\frac{x^2}{(a+b x)^2}\right ) \, dx &=\int F\left (\frac{x^2}{(a+b x)^2}\right ) \, dx\\ \end{align*}
Mathematica [A] time = 0.0085232, size = 0, normalized size = 0. \[ \int F\left (\frac{x^2}{(a+b x)^2}\right ) \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.007, size = 0, normalized size = 0. \begin{align*} \int F \left ({\frac{{x}^{2}}{ \left ( bx+a \right ) ^{2}}} \right ) \, 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 F\left (\frac{x^{2}}{{\left (b x + a\right )}^{2}}\right )\,{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 (F\left (\frac{x^{2}}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right ), 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 F{\left (\frac{x^{2}}{\left (a + b x\right )^{2}} \right )}\, 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 F\left (\frac{x^{2}}{{\left (b x + a\right )}^{2}}\right )\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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