Optimal. Leaf size=12 \[ \frac{3 \sqrt [3]{b x}}{b} \]
[Out]
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Rubi [A] time = 0.00648606, antiderivative size = 12, 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 \[ \frac{3 \sqrt [3]{b x}}{b} \]
Antiderivative was successfully verified.
[In] Int[(b*x)^(-2/3),x]
[Out]
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Rubi in Sympy [A] time = 1.33885, size = 8, normalized size = 0.67 \[ \frac{3 \sqrt [3]{b x}}{b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/(b*x)**(2/3),x)
[Out]
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Mathematica [A] time = 0.00224052, size = 10, normalized size = 0.83 \[ \frac{3 x}{(b x)^{2/3}} \]
Antiderivative was successfully verified.
[In] Integrate[(b*x)^(-2/3),x]
[Out]
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Maple [A] time = 0.003, size = 9, normalized size = 0.8 \[ 3\,{\frac{x}{ \left ( bx \right ) ^{2/3}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/(b*x)^(2/3),x)
[Out]
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Maxima [A] time = 1.43494, size = 14, normalized size = 1.17 \[ \frac{3 \, \left (b x\right )^{\frac{1}{3}}}{b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)^(-2/3),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.213626, size = 14, normalized size = 1.17 \[ \frac{3 \, \left (b x\right )^{\frac{1}{3}}}{b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)^(-2/3),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.064299, size = 8, normalized size = 0.67 \[ \frac{3 \sqrt [3]{b x}}{b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(b*x)**(2/3),x)
[Out]
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GIAC/XCAS [A] time = 0.221352, size = 14, normalized size = 1.17 \[ \frac{3 \, \left (b x\right )^{\frac{1}{3}}}{b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)^(-2/3),x, algorithm="giac")
[Out]