Optimal. Leaf size=17 \[ \frac{b x^4}{4}+\frac{c x^6}{6} \]
[Out]
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Rubi [A] time = 0.014973, antiderivative size = 17, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 13, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.077 \[ \frac{b x^4}{4}+\frac{c x^6}{6} \]
Antiderivative was successfully verified.
[In] Int[x*(b*x^2 + c*x^4),x]
[Out]
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Rubi in Sympy [A] time = 4.62429, size = 12, normalized size = 0.71 \[ \frac{b x^{4}}{4} + \frac{c x^{6}}{6} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x*(c*x**4+b*x**2),x)
[Out]
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Mathematica [A] time = 0.00244627, size = 17, normalized size = 1. \[ \frac{b x^4}{4}+\frac{c x^6}{6} \]
Antiderivative was successfully verified.
[In] Integrate[x*(b*x^2 + c*x^4),x]
[Out]
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Maple [A] time = 0.001, size = 14, normalized size = 0.8 \[{\frac{b{x}^{4}}{4}}+{\frac{c{x}^{6}}{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x*(c*x^4+b*x^2),x)
[Out]
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Maxima [A] time = 0.685813, size = 18, normalized size = 1.06 \[ \frac{1}{6} \, c x^{6} + \frac{1}{4} \, b x^{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((c*x^4 + b*x^2)*x,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.234449, size = 1, normalized size = 0.06 \[ \frac{1}{6} x^{6} c + \frac{1}{4} x^{4} b \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((c*x^4 + b*x^2)*x,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.069724, size = 12, normalized size = 0.71 \[ \frac{b x^{4}}{4} + \frac{c x^{6}}{6} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x*(c*x**4+b*x**2),x)
[Out]
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GIAC/XCAS [A] time = 0.267695, size = 18, normalized size = 1.06 \[ \frac{1}{6} \, c x^{6} + \frac{1}{4} \, b x^{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((c*x^4 + b*x^2)*x,x, algorithm="giac")
[Out]