Optimal. Leaf size=6 \[ 18 e^4 x \]
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Rubi [A]
time = 0.00, antiderivative size = 6, normalized size of antiderivative = 1.00, number of steps
used = 1, number of rules used = 1, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.200, Rules used = {8}
\begin {gather*} 18 e^4 x \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=18 e^4 x\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 6, normalized size = 1.00 \begin {gather*} 18 e^4 x \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 6.31, size = 6, normalized size = 1.00
method | result | size |
default | \(18 x \,{\mathrm e}^{4}\) | \(6\) |
norman | \(18 x \,{\mathrm e}^{4}\) | \(6\) |
risch | \(18 x \,{\mathrm e}^{4}\) | \(6\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.33, size = 5, normalized size = 0.83 \begin {gather*} 18 \, x e^{4} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.35, size = 5, normalized size = 0.83 \begin {gather*} 18 \, x e^{4} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.00, size = 5, normalized size = 0.83 \begin {gather*} 18 x e^{4} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.43, size = 5, normalized size = 0.83 \begin {gather*} 18 \, x e^{4} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.00, size = 5, normalized size = 0.83 \begin {gather*} 18\,x\,{\mathrm {e}}^4 \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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