Optimal. Leaf size=11 \[ -5+e^{7-e^x} \]
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Rubi [A] time = 0.01, antiderivative size = 9, normalized size of antiderivative = 0.82, number of steps used = 2, number of rules used = 2, integrand size = 12, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.167, Rules used = {2282, 2194} \begin {gather*} e^{7-e^x} \end {gather*}
Antiderivative was successfully verified.
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Rule 2194
Rule 2282
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-\operatorname {Subst}\left (\int e^{7-x} \, dx,x,e^x\right )\\ &=e^{7-e^x}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.01, size = 9, normalized size = 0.82 \begin {gather*} e^{7-e^x} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.60, size = 7, normalized size = 0.64 \begin {gather*} e^{\left (-e^{x} + 7\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.14, size = 7, normalized size = 0.64 \begin {gather*} e^{\left (-e^{x} + 7\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 8, normalized size = 0.73
method | result | size |
derivativedivides | \({\mathrm e}^{-{\mathrm e}^{x}+7}\) | \(8\) |
default | \({\mathrm e}^{-{\mathrm e}^{x}+7}\) | \(8\) |
norman | \({\mathrm e}^{-{\mathrm e}^{x}+7}\) | \(8\) |
risch | \({\mathrm e}^{-{\mathrm e}^{x}+7}\) | \(8\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.35, size = 7, normalized size = 0.64 \begin {gather*} e^{\left (-e^{x} + 7\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.04, size = 8, normalized size = 0.73 \begin {gather*} {\mathrm {e}}^7\,{\mathrm {e}}^{-{\mathrm {e}}^x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.10, size = 5, normalized size = 0.45 \begin {gather*} e^{7 - e^{x}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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