Optimal. Leaf size=17 \[ \frac{b x^5}{5}+\frac{c x^7}{7} \]
[Out]
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Rubi [A] time = 0.0154341, antiderivative size = 17, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 15, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.067 \[ \frac{b x^5}{5}+\frac{c x^7}{7} \]
Antiderivative was successfully verified.
[In] Int[x^2*(b*x^2 + c*x^4),x]
[Out]
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Rubi in Sympy [A] time = 4.79005, size = 12, normalized size = 0.71 \[ \frac{b x^{5}}{5} + \frac{c x^{7}}{7} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x**2*(c*x**4+b*x**2),x)
[Out]
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Mathematica [A] time = 0.00322095, size = 17, normalized size = 1. \[ \frac{b x^5}{5}+\frac{c x^7}{7} \]
Antiderivative was successfully verified.
[In] Integrate[x^2*(b*x^2 + c*x^4),x]
[Out]
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Maple [A] time = 0.001, size = 14, normalized size = 0.8 \[{\frac{b{x}^{5}}{5}}+{\frac{c{x}^{7}}{7}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x^2*(c*x^4+b*x^2),x)
[Out]
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Maxima [A] time = 0.678668, size = 18, normalized size = 1.06 \[ \frac{1}{7} \, c x^{7} + \frac{1}{5} \, b x^{5} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((c*x^4 + b*x^2)*x^2,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.232872, size = 1, normalized size = 0.06 \[ \frac{1}{7} x^{7} c + \frac{1}{5} x^{5} b \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((c*x^4 + b*x^2)*x^2,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.069703, size = 12, normalized size = 0.71 \[ \frac{b x^{5}}{5} + \frac{c x^{7}}{7} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x**2*(c*x**4+b*x**2),x)
[Out]
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GIAC/XCAS [A] time = 0.269173, size = 18, normalized size = 1.06 \[ \frac{1}{7} \, c x^{7} + \frac{1}{5} \, b x^{5} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((c*x^4 + b*x^2)*x^2,x, algorithm="giac")
[Out]