Optimal. Leaf size=5 \[ e^{-5+x} \]
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Rubi [A] time = 0.00, antiderivative size = 5, 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 = {2194} \begin {gather*} e^{x-5} \end {gather*}
Antiderivative was successfully verified.
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Rule 2194
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=e^{-5+x}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 5, normalized size = 1.00 \begin {gather*} e^{-5+x} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.52, size = 4, normalized size = 0.80 \begin {gather*} e^{\left (x - 5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.38, size = 4, normalized size = 0.80 \begin {gather*} e^{\left (x - 5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 5, normalized size = 1.00
method | result | size |
gosper | \({\mathrm e}^{x -5}\) | \(5\) |
derivativedivides | \({\mathrm e}^{x -5}\) | \(5\) |
default | \({\mathrm e}^{x -5}\) | \(5\) |
norman | \({\mathrm e}^{x -5}\) | \(5\) |
risch | \({\mathrm e}^{x -5}\) | \(5\) |
meijerg | \(-{\mathrm e}^{-5} \left (1-{\mathrm e}^{x}\right )\) | \(11\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.37, size = 4, normalized size = 0.80 \begin {gather*} e^{\left (x - 5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 5, normalized size = 1.00 \begin {gather*} {\mathrm {e}}^{-5}\,{\mathrm {e}}^x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 3, normalized size = 0.60 \begin {gather*} e^{x - 5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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