Optimal. Leaf size=16 \[ -24 \left (4+\frac {1}{2} \left (1-e^{16}\right )\right ) x \]
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Rubi [A] time = 0.00, antiderivative size = 10, normalized size of antiderivative = 0.62, number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {8} \begin {gather*} -12 \left (9-e^{16}\right ) x \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-12 \left (9-e^{16}\right ) x\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 10, normalized size = 0.62 \begin {gather*} -108 x+12 e^{16} x \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.65, size = 9, normalized size = 0.56 \begin {gather*} 12 \, x e^{16} - 108 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.24, size = 7, normalized size = 0.44 \begin {gather*} 12 \, x {\left (e^{16} - 9\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 9, normalized size = 0.56
method | result | size |
default | \(\left (12 \,{\mathrm e}^{16}-108\right ) x\) | \(9\) |
norman | \(\left (12 \,{\mathrm e}^{16}-108\right ) x\) | \(9\) |
risch | \(12 x \,{\mathrm e}^{16}-108 x\) | \(10\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.41, size = 7, normalized size = 0.44 \begin {gather*} 12 \, x {\left (e^{16} - 9\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.00, size = 8, normalized size = 0.50 \begin {gather*} x\,\left (12\,{\mathrm {e}}^{16}-108\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.04, size = 7, normalized size = 0.44 \begin {gather*} x \left (-108 + 12 e^{16}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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