Optimal. Leaf size=11 \[ \text{Int}\left (f\left (\frac{a}{x^2}+b\right ),x\right ) \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.0220187, 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. \[ \text{Int}\left (f\left (\frac{a+b x^2}{x^2}\right ),x\right ) \]
Verification is Not applicable to the result.
[In] Int[f[(a + b*x^2)/x^2],x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 0., size = 0, normalized size = 0. \[ \int F{\left (\frac{a}{x^{2}} + b \right )}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(F((b*x**2+a)/x**2),x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.00567234, size = 0, normalized size = 0. \[ \int f\left (\frac{a+b x^2}{x^2}\right ) \, dx \]
Verification is Not applicable to the result.
[In] Integrate[f[(a + b*x^2)/x^2],x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.008, size = 0, normalized size = 0. \[ \int f \left ({\frac{b{x}^{2}+a}{{x}^{2}}} \right ) \, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(f((b*x^2+a)/x^2),x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 0., size = 0, normalized size = 0. \[ \int F\left (\frac{b x^{2} + a}{x^{2}}\right )\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(F((b*x^2 + a)/x^2),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((b*x^2 + a)/x^2),x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0., size = 0, normalized size = 0. \[ \int F{\left (\frac{a + b x^{2}}{x^{2}} \right )}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(F((b*x**2+a)/x**2),x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0., size = 0, normalized size = 0. \[ \int F\left (\frac{b x^{2} + a}{x^{2}}\right )\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(F((b*x^2 + a)/x^2),x, algorithm="giac")
[Out]