Optimal. Leaf size=11 \[ \frac{x^{n+1}}{n+1} \]
[Out]
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Rubi [A] time = 0.00693595, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 3, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.333 \[ \frac{x^{n+1}}{n+1} \]
Antiderivative was successfully verified.
[In] Int[x^n,x]
[Out]
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Rubi in Sympy [A] time = 0.613254, size = 7, normalized size = 0.64 \[ \frac{x^{n + 1}}{n + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x**n,x)
[Out]
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Mathematica [A] time = 0.00182262, size = 11, normalized size = 1. \[ \frac{x^{n+1}}{n+1} \]
Antiderivative was successfully verified.
[In] Integrate[x^n,x]
[Out]
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Maple [A] time = 0.003, size = 12, normalized size = 1.1 \[{\frac{{x}^{1+n}}{1+n}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x^n,x)
[Out]
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Maxima [F] time = 0., size = 0, normalized size = 0. \[ \text{Exception raised: ValueError} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^n,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.213276, size = 14, normalized size = 1.27 \[ \frac{x x^{n}}{n + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^n,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.030976, size = 12, normalized size = 1.09 \[ \begin{cases} \frac{x^{n + 1}}{n + 1} & \text{for}\: n \neq -1 \\\log{\left (x \right )} & \text{otherwise} \end{cases} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x**n,x)
[Out]
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GIAC/XCAS [A] time = 0.205615, size = 15, normalized size = 1.36 \[ \frac{x^{n + 1}}{n + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^n,x, algorithm="giac")
[Out]