Optimal. Leaf size=16 \[ -\frac{x^6}{2}-\frac{x^3}{3}+x \]
[Out]
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Rubi [A] time = 0.00701179, antiderivative size = 16, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 12, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0. \[ -\frac{x^6}{2}-\frac{x^3}{3}+x \]
Antiderivative was successfully verified.
[In] Int[1 - x^2 - 3*x^5,x]
[Out]
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Rubi in Sympy [A] time = 1.44201, size = 10, normalized size = 0.62 \[ - \frac{x^{6}}{2} - \frac{x^{3}}{3} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(-3*x**5-x**2+1,x)
[Out]
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Mathematica [A] time = 0.0000601568, size = 16, normalized size = 1. \[ -\frac{x^6}{2}-\frac{x^3}{3}+x \]
Antiderivative was successfully verified.
[In] Integrate[1 - x^2 - 3*x^5,x]
[Out]
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Maple [A] time = 0.001, size = 13, normalized size = 0.8 \[ x-{\frac{{x}^{3}}{3}}-{\frac{{x}^{6}}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(-3*x^5-x^2+1,x)
[Out]
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Maxima [A] time = 1.34163, size = 16, normalized size = 1. \[ -\frac{1}{2} \, x^{6} - \frac{1}{3} \, x^{3} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-3*x^5 - x^2 + 1,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.177979, size = 1, normalized size = 0.06 \[ -\frac{1}{2} x^{6} - \frac{1}{3} x^{3} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-3*x^5 - x^2 + 1,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.033107, size = 10, normalized size = 0.62 \[ - \frac{x^{6}}{2} - \frac{x^{3}}{3} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-3*x**5-x**2+1,x)
[Out]
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GIAC/XCAS [A] time = 0.228001, size = 16, normalized size = 1. \[ -\frac{1}{2} \, x^{6} - \frac{1}{3} \, x^{3} + x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-3*x^5 - x^2 + 1,x, algorithm="giac")
[Out]