Optimal. Leaf size=7 \[ \frac {x^3}{3} \]
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Rubi [A] time = 0.00, antiderivative size = 7, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 3, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.333, Rules used = {30} \begin {gather*} \frac {x^3}{3} \end {gather*}
Antiderivative was successfully verified.
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Rule 30
Rubi steps
\begin {align*} \int x^2 \, dx &=\frac {x^3}{3}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 7, normalized size = 1.00 \begin {gather*} \frac {x^3}{3} \end {gather*}
Antiderivative was successfully verified.
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IntegrateAlgebraic [F] time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int x^2 \, dx \end {gather*}
Verification is not applicable to the result.
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fricas [A] time = 1.13, size = 5, normalized size = 0.71 \begin {gather*} \frac {1}{3} x^{3} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.10, size = 5, normalized size = 0.71 \begin {gather*} \frac {1}{3} \, x^{3} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 6, normalized size = 0.86 \begin {gather*} \frac {x^{3}}{3} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.42, size = 5, normalized size = 0.71 \begin {gather*} \frac {1}{3} \, x^{3} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.01, size = 5, normalized size = 0.71 \begin {gather*} \frac {x^3}{3} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 3, normalized size = 0.43 \begin {gather*} \frac {x^{3}}{3} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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