Optimal. Leaf size=14 \[ a x+\frac{3}{4} b x^{4/3} \]
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Rubi [A] time = 0.0105716, antiderivative size = 14, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0. \[ a x+\frac{3}{4} b x^{4/3} \]
Antiderivative was successfully verified.
[In] Int[a + b*x^(1/3),x]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ \frac{3 b x^{\frac{4}{3}}}{4} + \int a\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(a+b*x**(1/3),x)
[Out]
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Mathematica [A] time = 0.00245811, size = 14, normalized size = 1. \[ a x+\frac{3}{4} b x^{4/3} \]
Antiderivative was successfully verified.
[In] Integrate[a + b*x^(1/3),x]
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Maple [A] time = 0.001, size = 11, normalized size = 0.8 \[ ax+{\frac{3\,b}{4}{x}^{{\frac{4}{3}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(a+b*x^(1/3),x)
[Out]
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Maxima [A] time = 1.44014, size = 14, normalized size = 1. \[ \frac{3}{4} \, b x^{\frac{4}{3}} + a x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(b*x^(1/3) + a,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.213039, size = 14, normalized size = 1. \[ \frac{3}{4} \, b x^{\frac{4}{3}} + a x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(b*x^(1/3) + a,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.062648, size = 12, normalized size = 0.86 \[ a x + \frac{3 b x^{\frac{4}{3}}}{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(a+b*x**(1/3),x)
[Out]
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GIAC/XCAS [A] time = 0.281117, size = 14, normalized size = 1. \[ \frac{3}{4} \, b x^{\frac{4}{3}} + a x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(b*x^(1/3) + a,x, algorithm="giac")
[Out]