Optimal. Leaf size=15 \[ 15+5 \left (-2+\frac {e^{-5+x}}{4}\right ) \]
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Rubi [A]
time = 0.00, antiderivative size = 9, normalized size of antiderivative = 0.60, number of steps
used = 2, number of rules used = 2, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.222, Rules used = {12, 2225}
\begin {gather*} \frac {5 e^{x-5}}{4} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 2225
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {5}{4} \int e^{-5+x} \, dx\\ &=\frac {5 e^{-5+x}}{4}\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.01, size = 9, normalized size = 0.60 \begin {gather*} \frac {5 e^{-5+x}}{4} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.15, size = 14, normalized size = 0.93
method | result | size |
risch | \(\frac {5 \,{\mathrm e}^{x -5}}{4}\) | \(7\) |
meijerg | \(-\frac {5 \,{\mathrm e}^{-5} \left (1-{\mathrm e}^{x}\right )}{4}\) | \(11\) |
gosper | \(5 \,{\mathrm e}^{x -2 \ln \left (2\right )} {\mathrm e}^{-5}\) | \(14\) |
derivativedivides | \(5 \,{\mathrm e}^{x -2 \ln \left (2\right )} {\mathrm e}^{-5}\) | \(14\) |
default | \(5 \,{\mathrm e}^{x -2 \ln \left (2\right )} {\mathrm e}^{-5}\) | \(14\) |
norman | \(5 \,{\mathrm e}^{x -2 \ln \left (2\right )} {\mathrm e}^{-5}\) | \(14\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.27, size = 6, normalized size = 0.40 \begin {gather*} \frac {5}{4} \, e^{\left (x - 5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.39, size = 10, normalized size = 0.67 \begin {gather*} 5 \, e^{\left (x - 2 \, \log \left (2\right ) - 5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.03, size = 8, normalized size = 0.53 \begin {gather*} \frac {5 e^{x}}{4 e^{5}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.38, size = 10, normalized size = 0.67 \begin {gather*} 5 \, e^{\left (x - 2 \, \log \left (2\right ) - 5\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 = 0.40 \begin {gather*} \frac {5\,{\mathrm {e}}^{-5}\,{\mathrm {e}}^x}{4} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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