Optimal. Leaf size=17 \[ \frac{a x^6}{6}+\frac{b x^{10}}{10} \]
[Out]
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Rubi [A] time = 0.0146299, antiderivative size = 17, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.091 \[ \frac{a x^6}{6}+\frac{b x^{10}}{10} \]
Antiderivative was successfully verified.
[In] Int[x^5*(a + b*x^4),x]
[Out]
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Rubi in Sympy [A] time = 2.90939, size = 12, normalized size = 0.71 \[ \frac{a x^{6}}{6} + \frac{b x^{10}}{10} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x**5*(b*x**4+a),x)
[Out]
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Mathematica [A] time = 0.00174519, size = 17, normalized size = 1. \[ \frac{a x^6}{6}+\frac{b x^{10}}{10} \]
Antiderivative was successfully verified.
[In] Integrate[x^5*(a + b*x^4),x]
[Out]
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Maple [A] time = 0.001, size = 14, normalized size = 0.8 \[{\frac{{x}^{6}a}{6}}+{\frac{b{x}^{10}}{10}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x^5*(b*x^4+a),x)
[Out]
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Maxima [A] time = 1.43958, size = 18, normalized size = 1.06 \[ \frac{1}{10} \, b x^{10} + \frac{1}{6} \, a x^{6} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)*x^5,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.200504, size = 1, normalized size = 0.06 \[ \frac{1}{10} x^{10} b + \frac{1}{6} x^{6} a \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)*x^5,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.069065, size = 12, normalized size = 0.71 \[ \frac{a x^{6}}{6} + \frac{b x^{10}}{10} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x**5*(b*x**4+a),x)
[Out]
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GIAC/XCAS [A] time = 0.218314, size = 18, normalized size = 1.06 \[ \frac{1}{10} \, b x^{10} + \frac{1}{6} \, a x^{6} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)*x^5,x, algorithm="giac")
[Out]