Optimal. Leaf size=17 \[ \text{Int}\left (f\left (\frac{x^2}{a+b x^2}\right ),x\right ) \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.0169517, 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. \[ \text{Int}\left (f\left (\frac{x^2}{a+b x^2}\right ),x\right ) \]
Verification is Not applicable to the result.
[In] Int[f[x^2/(a + b*x^2)],x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 0., size = 0, normalized size = 0. \[ \int F{\left (\frac{x^{2}}{a + b x^{2}} \right )}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(F(x**2/(b*x**2+a)),x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.00849107, size = 0, normalized size = 0. \[ \int f\left (\frac{x^2}{a+b x^2}\right ) \, dx \]
Verification is Not applicable to the result.
[In] Integrate[f[x^2/(a + b*x^2)],x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0., size = 0, normalized size = 0. \[ \int f \left ({\frac{{x}^{2}}{b{x}^{2}+a}} \right ) \, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(f(x^2/(b*x^2+a)),x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 0., size = 0, normalized size = 0. \[ \int F\left (\frac{x^{2}}{b x^{2} + a}\right )\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(F(x^2/(b*x^2 + a)),x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [F(-2)] time = 0., size = 0, normalized size = 0. \[ \text{Exception raised: TypeError} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(F(x^2/(b*x^2 + a)),x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0., size = 0, normalized size = 0. \[ \int F{\left (\frac{x^{2}}{a + b x^{2}} \right )}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(F(x**2/(b*x**2+a)),x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0., size = 0, normalized size = 0. \[ \int F\left (\frac{x^{2}}{b x^{2} + a}\right )\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(F(x^2/(b*x^2 + a)),x, algorithm="giac")
[Out]