Optimal. Leaf size=1 \[ x \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.00524836, antiderivative size = 1, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 15, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0. \[ x \]
Antiderivative was successfully verified.
[In] Int[x + (1 - x^2)/(1 + x),x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 1.68149, size = 0, normalized size = 0. \[ x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x+(-x**2+1)/(1+x),x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.000289905, size = 1, normalized size = 1. \[ x \]
Antiderivative was successfully verified.
[In] Integrate[x + (1 - x^2)/(1 + x),x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.001, size = 2, normalized size = 2. \[ x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x+(-x^2+1)/(1+x),x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 0.694714, size = 1, normalized size = 1. \[ x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x - (x^2 - 1)/(x + 1),x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.24318, size = 1, normalized size = 1. \[ x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x - (x^2 - 1)/(x + 1),x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0.064693, size = 0, normalized size = 0. \[ x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x+(-x**2+1)/(1+x),x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.27403, size = 1, normalized size = 1. \[ x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x - (x^2 - 1)/(x + 1),x, algorithm="giac")
[Out]