Optimal. Leaf size=14 \[ \frac{3 (b x)^{5/3}}{5 b} \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.0067686, antiderivative size = 14, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.143 \[ \frac{3 (b x)^{5/3}}{5 b} \]
Antiderivative was successfully verified.
[In] Int[(b*x)^(2/3),x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 1.3932, size = 10, normalized size = 0.71 \[ \frac{3 \left (b x\right )^{\frac{5}{3}}}{5 b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x)**(2/3),x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.00172695, size = 12, normalized size = 0.86 \[ \frac{3}{5} x (b x)^{2/3} \]
Antiderivative was successfully verified.
[In] Integrate[(b*x)^(2/3),x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.004, size = 9, normalized size = 0.6 \[{\frac{3\,x}{5} \left ( bx \right ) ^{{\frac{2}{3}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x)^(2/3),x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 1.44325, size = 14, normalized size = 1. \[ \frac{3 \, \left (b x\right )^{\frac{5}{3}}}{5 \, b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)^(2/3),x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.216908, size = 11, normalized size = 0.79 \[ \frac{3}{5} \, \left (b x\right )^{\frac{2}{3}} x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)^(2/3),x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0.071018, size = 10, normalized size = 0.71 \[ \frac{3 \left (b x\right )^{\frac{5}{3}}}{5 b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)**(2/3),x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.233713, size = 11, normalized size = 0.79 \[ \frac{3}{5} \, \left (b x\right )^{\frac{2}{3}} x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)^(2/3),x, algorithm="giac")
[Out]