Optimal. Leaf size=13 \[ x \sqrt [3]{\frac{b}{x^3}} \log (x) \]
[Out]
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Rubi [A] time = 0.00884017, antiderivative size = 13, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.222 \[ x \sqrt [3]{\frac{b}{x^3}} \log (x) \]
Antiderivative was successfully verified.
[In] Int[(b/x^3)^(1/3),x]
[Out]
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Rubi in Sympy [A] time = 1.17914, size = 12, normalized size = 0.92 \[ x \sqrt [3]{\frac{b}{x^{3}}} \log{\left (x \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b/x**3)**(1/3),x)
[Out]
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Mathematica [A] time = 0.00202677, size = 13, normalized size = 1. \[ x \sqrt [3]{\frac{b}{x^3}} \log (x) \]
Antiderivative was successfully verified.
[In] Integrate[(b/x^3)^(1/3),x]
[Out]
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Maple [A] time = 0.017, size = 12, normalized size = 0.9 \[ \sqrt [3]{{\frac{b}{{x}^{3}}}}x\ln \left ( x \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b/x^3)^(1/3),x)
[Out]
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Maxima [A] time = 1.43394, size = 15, normalized size = 1.15 \[ x \left (\frac{b}{x^{3}}\right )^{\frac{1}{3}} \log \left (x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b/x^3)^(1/3),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.22838, size = 15, normalized size = 1.15 \[ x \left (\frac{b}{x^{3}}\right )^{\frac{1}{3}} \log \left (x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b/x^3)^(1/3),x, algorithm="fricas")
[Out]
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Sympy [F] time = 0., size = 0, normalized size = 0. \[ \int \sqrt [3]{\frac{b}{x^{3}}}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b/x**3)**(1/3),x)
[Out]
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GIAC/XCAS [F] time = 0., size = 0, normalized size = 0. \[ \int \left (\frac{b}{x^{3}}\right )^{\frac{1}{3}}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b/x^3)^(1/3),x, algorithm="giac")
[Out]