Optimal. Leaf size=14 \[ \frac{3 (b x)^{4/3}}{4 b} \]
[Out]
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Rubi [A] time = 0.00702459, 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 \[ \frac{3 (b x)^{4/3}}{4 b} \]
Antiderivative was successfully verified.
[In] Int[(b*x)^(1/3),x]
[Out]
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Rubi in Sympy [A] time = 1.33672, size = 10, normalized size = 0.71 \[ \frac{3 \left (b x\right )^{\frac{4}{3}}}{4 b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x)**(1/3),x)
[Out]
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Mathematica [A] time = 0.00168791, size = 12, normalized size = 0.86 \[ \frac{3}{4} x \sqrt [3]{b x} \]
Antiderivative was successfully verified.
[In] Integrate[(b*x)^(1/3),x]
[Out]
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Maple [A] time = 0.003, size = 9, normalized size = 0.6 \[{\frac{3\,x}{4}\sqrt [3]{bx}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x)^(1/3),x)
[Out]
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Maxima [A] time = 1.43427, size = 14, normalized size = 1. \[ \frac{3 \, \left (b x\right )^{\frac{4}{3}}}{4 \, b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)^(1/3),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.216398, size = 11, normalized size = 0.79 \[ \frac{3}{4} \, \left (b x\right )^{\frac{1}{3}} x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)^(1/3),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.063848, size = 10, normalized size = 0.71 \[ \frac{3 \left (b x\right )^{\frac{4}{3}}}{4 b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)**(1/3),x)
[Out]
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GIAC/XCAS [A] time = 0.249309, size = 11, normalized size = 0.79 \[ \frac{3}{4} \, \left (b x\right )^{\frac{1}{3}} x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)^(1/3),x, algorithm="giac")
[Out]