Optimal. Leaf size=12 \[ -3 x \sqrt [3]{\frac{b}{x^4}} \]
[Out]
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Rubi [A] time = 0.00681372, antiderivative size = 12, 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 \[ -3 x \sqrt [3]{\frac{b}{x^4}} \]
Antiderivative was successfully verified.
[In] Int[(b/x^4)^(1/3),x]
[Out]
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Rubi in Sympy [A] time = 1.22732, size = 12, normalized size = 1. \[ - 3 x \sqrt [3]{\frac{b}{x^{4}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b/x**4)**(1/3),x)
[Out]
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Mathematica [A] time = 0.00234708, size = 12, normalized size = 1. \[ -3 x \sqrt [3]{\frac{b}{x^4}} \]
Antiderivative was successfully verified.
[In] Integrate[(b/x^4)^(1/3),x]
[Out]
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Maple [A] time = 0.003, size = 11, normalized size = 0.9 \[ -3\,\sqrt [3]{{\frac{b}{{x}^{4}}}}x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b/x^4)^(1/3),x)
[Out]
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Maxima [A] time = 1.43381, size = 14, normalized size = 1.17 \[ -3 \, x \left (\frac{b}{x^{4}}\right )^{\frac{1}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b/x^4)^(1/3),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.223739, size = 14, normalized size = 1.17 \[ -3 \, x \left (\frac{b}{x^{4}}\right )^{\frac{1}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b/x^4)^(1/3),x, algorithm="fricas")
[Out]
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Sympy [A] time = 1.40561, size = 17, normalized size = 1.42 \[ - 3 \sqrt [3]{b} x \sqrt [3]{\frac{1}{x^{4}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b/x**4)**(1/3),x)
[Out]
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GIAC/XCAS [F] time = 0., size = 0, normalized size = 0. \[ \int \left (\frac{b}{x^{4}}\right )^{\frac{1}{3}}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b/x^4)^(1/3),x, algorithm="giac")
[Out]