Optimal. Leaf size=8 \[ 3 x^2 (6+x) \]
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Rubi [A]
time = 0.00, antiderivative size = 11, normalized size of antiderivative = 1.38, number of steps
used = 1, number of rules used = 0, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {}
\begin {gather*} 3 x^3+18 x^2 \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=18 x^2+3 x^3\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 11, normalized size = 1.38 \begin {gather*} 18 x^2+3 x^3 \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.02, size = 12, normalized size = 1.50
method | result | size |
gosper | \(3 x^{2} \left (x +6\right )\) | \(9\) |
default | \(3 x^{3}+18 x^{2}\) | \(12\) |
norman | \(3 x^{3}+18 x^{2}\) | \(12\) |
risch | \(3 x^{3}+18 x^{2}\) | \(12\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.26, size = 11, normalized size = 1.38 \begin {gather*} 3 \, x^{3} + 18 \, x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.34, size = 11, normalized size = 1.38 \begin {gather*} 3 \, x^{3} + 18 \, x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.01, size = 8, normalized size = 1.00 \begin {gather*} 3 x^{3} + 18 x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.38, size = 11, normalized size = 1.38 \begin {gather*} 3 \, x^{3} + 18 \, x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.02, size = 8, normalized size = 1.00 \begin {gather*} 3\,x^2\,\left (x+6\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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