Optimal. Leaf size=17 \[ \text {Int}\left (F\left (\frac {x^2}{a+b x^2}\right ),x\right ) \]
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Rubi [A] time = 0.01, 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 = {} \[ \int F\left (\frac {x^2}{a+b x^2}\right ) \, dx \]
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*}
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Mathematica [A] time = 0.01, size = 0, normalized size = 0.00 \[ \int F\left (\frac {x^2}{a+b x^2}\right ) \, dx \]
Verification is Not applicable to the result.
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fricas [A] time = 0.41, size = 0, normalized size = 0.00 \[ {\rm integral}\left (F\left (\frac {x^{2}}{b x^{2} + a}\right ), x\right ) \]
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 \[ \int F\left (\frac {x^{2}}{b x^{2} + a}\right )\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 0, normalized size = 0.00 \[ \int F \left (\frac {x^{2}}{b \,x^{2}+a}\right )\, dx \]
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 \[ \int F\left (\frac {x^{2}}{b x^{2} + a}\right )\,{d x} \]
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 \[ \int F\left (\frac {x^2}{b\,x^2+a}\right ) \,d x \]
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 \[ \int F{\left (\frac {x^{2}}{a + b x^{2}} \right )}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
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