Optimal. Leaf size=12 \[ 5+e^{7-x}-x \]
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Rubi [A] time = 0.00, antiderivative size = 11, normalized size of antiderivative = 0.92, number of steps used = 2, number of rules used = 1, integrand size = 11, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.091, Rules used = {2194} \begin {gather*} e^{7-x}-x \end {gather*}
Antiderivative was successfully verified.
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Rule 2194
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-x-\int e^{7-x} \, dx\\ &=e^{7-x}-x\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.01, size = 11, normalized size = 0.92 \begin {gather*} e^{7-x}-x \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.76, size = 10, normalized size = 0.83 \begin {gather*} -x + e^{\left (-x + 7\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.19, size = 10, normalized size = 0.83 \begin {gather*} -x + e^{\left (-x + 7\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 11, normalized size = 0.92
method | result | size |
default | \(-x +{\mathrm e}^{-x +7}\) | \(11\) |
norman | \(-x +{\mathrm e}^{-x +7}\) | \(11\) |
risch | \(-x +{\mathrm e}^{-x +7}\) | \(11\) |
derivativedivides | \({\mathrm e}^{-x +7}+\ln \left ({\mathrm e}^{-x +7}\right )\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.36, size = 10, normalized size = 0.83 \begin {gather*} -x + e^{\left (-x + 7\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 4.32, size = 10, normalized size = 0.83 \begin {gather*} {\mathrm {e}}^{7-x}-x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.07, size = 5, normalized size = 0.42 \begin {gather*} - x + e^{7 - x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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