Optimal. Leaf size=17 \[ \text {Int}\left (F\left (\frac {x^4}{\left (a+b x^2\right )^2}\right ),x\right ) \]
[Out]
________________________________________________________________________________________
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 = {}
\begin {gather*} \int F\left (\frac {x^4}{\left (a+b x^2\right )^2}\right ) \, dx \end {gather*}
Verification is not applicable to the result.
[In]
[Out]
Rubi steps
\begin {align*} \int F\left (\frac {x^4}{\left (a+b x^2\right )^2}\right ) \, dx &=\int F\left (\frac {x^4}{\left (a+b x^2\right )^2}\right ) \, dx\\ \end {align*}
________________________________________________________________________________________
Mathematica [A]
time = 0.01, size = 0, normalized size = 0.00 \begin {gather*} \int F\left (\frac {x^4}{\left (a+b x^2\right )^2}\right ) \, dx \end {gather*}
Verification is not applicable to the result.
[In]
[Out]
________________________________________________________________________________________
Maple [A]
time = 0.01, size = 0, normalized size = 0.00 \[\int F \left (\frac {x^{4}}{\left (b \,x^{2}+a \right )^{2}}\right )\, dx\]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Failed to integrate} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {could not integrate} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int F{\left (\frac {x^{4}}{\left (a + b x^{2}\right )^{2}} \right )}\, dx \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {could not integrate} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Mupad [A]
time = 0.00, size = -1, normalized size = -0.06 \begin {gather*} \int F\left (\frac {x^4}{{\left (b\,x^2+a\right )}^2}\right ) \,d x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________