Optimal. Leaf size=7 \[ e^{9-x} \]
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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 = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.111, Rules used = {2194} \begin {gather*} e^{9-x} \end {gather*}
Antiderivative was successfully verified.
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Rule 2194
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=e^{9-x}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 7, normalized size = 1.00 \begin {gather*} e^{9-x} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.72, size = 6, normalized size = 0.86 \begin {gather*} e^{\left (-x + 9\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.13, size = 6, normalized size = 0.86 \begin {gather*} e^{\left (-x + 9\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 7, normalized size = 1.00
method | result | size |
gosper | \({\mathrm e}^{9-x}\) | \(7\) |
derivativedivides | \({\mathrm e}^{9-x}\) | \(7\) |
default | \({\mathrm e}^{9-x}\) | \(7\) |
norman | \({\mathrm e}^{9-x}\) | \(7\) |
risch | \({\mathrm e}^{9-x}\) | \(7\) |
meijerg | \(-{\mathrm e}^{9} \left (1-{\mathrm e}^{-x}\right )\) | \(13\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.36, size = 6, normalized size = 0.86 \begin {gather*} e^{\left (-x + 9\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 6, normalized size = 0.86 \begin {gather*} {\mathrm {e}}^{9-x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.07, size = 3, normalized size = 0.43 \begin {gather*} e^{9 - x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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