Optimal. Leaf size=15 \[ -\frac{1}{3} \sqrt{1-x^6} \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.00652509, antiderivative size = 15, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 15, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.067 \[ -\frac{1}{3} \sqrt{1-x^6} \]
Antiderivative was successfully verified.
[In] Int[x^5/Sqrt[1 - x^6],x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 0.977442, size = 10, normalized size = 0.67 \[ - \frac{\sqrt{- x^{6} + 1}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x**5/(-x**6+1)**(1/2),x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.00535236, size = 15, normalized size = 1. \[ -\frac{1}{3} \sqrt{1-x^6} \]
Antiderivative was successfully verified.
[In] Integrate[x^5/Sqrt[1 - x^6],x]
[Out]
_______________________________________________________________________________________
Maple [B] time = 0.013, size = 32, normalized size = 2.1 \[{\frac{ \left ( -1+x \right ) \left ( 1+x \right ) \left ({x}^{2}+x+1 \right ) \left ({x}^{2}-x+1 \right ) }{3}{\frac{1}{\sqrt{-{x}^{6}+1}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x^5/(-x^6+1)^(1/2),x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 1.3434, size = 15, normalized size = 1. \[ -\frac{1}{3} \, \sqrt{-x^{6} + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^5/sqrt(-x^6 + 1),x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.209514, size = 15, normalized size = 1. \[ -\frac{1}{3} \, \sqrt{-x^{6} + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^5/sqrt(-x^6 + 1),x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0.341842, size = 10, normalized size = 0.67 \[ - \frac{\sqrt{- x^{6} + 1}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x**5/(-x**6+1)**(1/2),x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.214874, size = 15, normalized size = 1. \[ -\frac{1}{3} \, \sqrt{-x^{6} + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^5/sqrt(-x^6 + 1),x, algorithm="giac")
[Out]