Optimal. Leaf size=9 \[ x-\frac{x^2}{2} \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.0123478, antiderivative size = 9, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 19, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.053 \[ x-\frac{x^2}{2} \]
Antiderivative was successfully verified.
[In] Int[(1 - x^4)/(1 + x + x^2 + x^3),x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ x - \int x\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((-x**4+1)/(x**3+x**2+x+1),x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.0010825, size = 9, normalized size = 1. \[ x-\frac{x^2}{2} \]
Antiderivative was successfully verified.
[In] Integrate[(1 - x^4)/(1 + x + x^2 + x^3),x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.003, size = 8, normalized size = 0.9 \[ x-{\frac{{x}^{2}}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((-x^4+1)/(x^3+x^2+x+1),x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 1.38845, size = 9, normalized size = 1. \[ -\frac{1}{2} \, x^{2} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(x^4 - 1)/(x^3 + x^2 + x + 1),x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.209718, size = 9, normalized size = 1. \[ -\frac{1}{2} \, x^{2} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(x^4 - 1)/(x^3 + x^2 + x + 1),x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0.043413, size = 5, normalized size = 0.56 \[ - \frac{x^{2}}{2} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((-x**4+1)/(x**3+x**2+x+1),x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.21047, size = 9, normalized size = 1. \[ -\frac{1}{2} \, x^{2} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(x^4 - 1)/(x^3 + x^2 + x + 1),x, algorithm="giac")
[Out]