Optimal. Leaf size=13 \[ -3-e^x+\log (2)+x \log (5) \]
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Rubi [A]
time = 0.00, antiderivative size = 10, normalized size of antiderivative = 0.77, number of steps
used = 2, number of rules used = 1, integrand size = 8, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.125, Rules used = {2225}
\begin {gather*} x \log (5)-e^x \end {gather*}
Antiderivative was successfully verified.
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Rule 2225
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=x \log (5)-\int e^x \, dx\\ &=-e^x+x \log (5)\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 10, normalized size = 0.77 \begin {gather*} -e^x+x \log (5) \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 6.17, size = 10, normalized size = 0.77
method | result | size |
default | \(x \ln \left (5\right )-{\mathrm e}^{x}\) | \(10\) |
norman | \(x \ln \left (5\right )-{\mathrm e}^{x}\) | \(10\) |
risch | \(x \ln \left (5\right )-{\mathrm e}^{x}\) | \(10\) |
derivativedivides | \(-{\mathrm e}^{x}+\ln \left (5\right ) \ln \left ({\mathrm e}^{x}\right )\) | \(12\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.28, size = 9, normalized size = 0.69 \begin {gather*} x \log \left (5\right ) - e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.39, size = 9, normalized size = 0.69 \begin {gather*} x \log \left (5\right ) - e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.03, size = 7, normalized size = 0.54 \begin {gather*} x \log {\left (5 \right )} - e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.41, size = 9, normalized size = 0.69 \begin {gather*} x \log \left (5\right ) - e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.04, size = 9, normalized size = 0.69 \begin {gather*} x\,\ln \left (5\right )-{\mathrm {e}}^x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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