Optimal. Leaf size=11 \[ x-\frac{4 x^{5/4}}{5} \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.00552035, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0. \[ x-\frac{4 x^{5/4}}{5} \]
Antiderivative was successfully verified.
[In] Int[1 - x^(1/4),x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 0.633267, size = 8, normalized size = 0.73 \[ - \frac{4 x^{\frac{5}{4}}}{5} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1-x**(1/4),x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.00276401, size = 11, normalized size = 1. \[ x-\frac{4 x^{5/4}}{5} \]
Antiderivative was successfully verified.
[In] Integrate[1 - x^(1/4),x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.002, size = 8, normalized size = 0.7 \[ x-{\frac{4}{5}{x}^{{\frac{5}{4}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1-x^(1/4),x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 0.702502, size = 9, normalized size = 0.82 \[ -\frac{4}{5} \, x^{\frac{5}{4}} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-x^(1/4) + 1,x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.265185, size = 9, normalized size = 0.82 \[ -\frac{4}{5} \, x^{\frac{5}{4}} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-x^(1/4) + 1,x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0.068443, size = 8, normalized size = 0.73 \[ - \frac{4 x^{\frac{5}{4}}}{5} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1-x**(1/4),x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.259644, size = 9, normalized size = 0.82 \[ -\frac{4}{5} \, x^{\frac{5}{4}} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-x^(1/4) + 1,x, algorithm="giac")
[Out]