Optimal. Leaf size=14 \[ \frac{\pi x^4}{4}+2 x^2 \]
[Out]
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Rubi [A] time = 0.00792214, 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. \[ \frac{\pi x^4}{4}+2 x^2 \]
Antiderivative was successfully verified.
[In] Int[4*x + Pi*x^3,x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ \frac{\pi x^{4}}{4} + 4 \int x\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(pi*x**3+4*x,x)
[Out]
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Mathematica [A] time = 0.0000591969, size = 14, normalized size = 1. \[ \frac{\pi x^4}{4}+2 x^2 \]
Antiderivative was successfully verified.
[In] Integrate[4*x + Pi*x^3,x]
[Out]
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Maple [A] time = 0.001, size = 13, normalized size = 0.9 \[ 2\,{x}^{2}+{\frac{\pi \,{x}^{4}}{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(Pi*x^3+4*x,x)
[Out]
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Maxima [A] time = 1.33141, size = 16, normalized size = 1.14 \[ \frac{1}{4} \, \pi x^{4} + 2 \, x^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(pi*x^3 + 4*x,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.198194, size = 16, normalized size = 1.14 \[ \frac{1}{4} \, \pi x^{4} + 2 \, x^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(pi*x^3 + 4*x,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.029973, size = 10, normalized size = 0.71 \[ \frac{\pi x^{4}}{4} + 2 x^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(pi*x**3+4*x,x)
[Out]
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GIAC/XCAS [A] time = 0.253123, size = 16, normalized size = 1.14 \[ \frac{1}{4} \, \pi x^{4} + 2 \, x^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(pi*x^3 + 4*x,x, algorithm="giac")
[Out]