Optimal. Leaf size=22 \[ \frac{x^6}{6}-\frac{1}{4 x^4}+\frac{x^2}{2} \]
[Out]
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Rubi [A] time = 0.00865042, antiderivative size = 22, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 8, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0. \[ \frac{x^6}{6}-\frac{1}{4 x^4}+\frac{x^2}{2} \]
Antiderivative was successfully verified.
[In] Int[x^(-5) + x + x^5,x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ \frac{x^{6}}{6} + \int x\, dx - \frac{1}{4 x^{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/x**5+x+x**5,x)
[Out]
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Mathematica [A] time = 0.00145016, size = 22, normalized size = 1. \[ \frac{x^6}{6}-\frac{1}{4 x^4}+\frac{x^2}{2} \]
Antiderivative was successfully verified.
[In] Integrate[x^(-5) + x + x^5,x]
[Out]
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Maple [A] time = 0.001, size = 17, normalized size = 0.8 \[ -{\frac{1}{4\,{x}^{4}}}+{\frac{{x}^{2}}{2}}+{\frac{{x}^{6}}{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/x^5+x+x^5,x)
[Out]
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Maxima [A] time = 1.31807, size = 22, normalized size = 1. \[ \frac{1}{6} \, x^{6} + \frac{1}{2} \, x^{2} - \frac{1}{4 \, x^{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^5 + x + 1/x^5,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.196201, size = 23, normalized size = 1.05 \[ \frac{2 \, x^{10} + 6 \, x^{6} - 3}{12 \, x^{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^5 + x + 1/x^5,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.077354, size = 15, normalized size = 0.68 \[ \frac{x^{6}}{6} + \frac{x^{2}}{2} - \frac{1}{4 x^{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/x**5+x+x**5,x)
[Out]
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GIAC/XCAS [A] time = 0.236736, size = 22, normalized size = 1. \[ \frac{1}{6} \, x^{6} + \frac{1}{2} \, x^{2} - \frac{1}{4 \, x^{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^5 + x + 1/x^5,x, algorithm="giac")
[Out]