Optimal. Leaf size=15 \[ \frac{x^5}{5}-\frac{x^4}{4} \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.00702779, antiderivative size = 15, 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. \[ \frac{x^5}{5}-\frac{x^4}{4} \]
Antiderivative was successfully verified.
[In] Int[-x^3 + x^4,x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 1.12936, size = 8, normalized size = 0.53 \[ \frac{x^{5}}{5} - \frac{x^{4}}{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x**4-x**3,x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.000056317, size = 15, normalized size = 1. \[ \frac{x^5}{5}-\frac{x^4}{4} \]
Antiderivative was successfully verified.
[In] Integrate[-x^3 + x^4,x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.001, size = 12, normalized size = 0.8 \[ -{\frac{{x}^{4}}{4}}+{\frac{{x}^{5}}{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x^4-x^3,x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 1.32982, size = 15, normalized size = 1. \[ \frac{1}{5} \, x^{5} - \frac{1}{4} \, x^{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^4 - x^3,x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.174786, size = 1, normalized size = 0.07 \[ \frac{1}{5} x^{5} - \frac{1}{4} x^{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^4 - x^3,x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0.028972, size = 8, normalized size = 0.53 \[ \frac{x^{5}}{5} - \frac{x^{4}}{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x**4-x**3,x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.268904, size = 15, normalized size = 1. \[ \frac{1}{5} \, x^{5} - \frac{1}{4} \, x^{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^4 - x^3,x, algorithm="giac")
[Out]