Optimal. Leaf size=19 \[ -25 \left (e+e^3-e^x-x+x \log (3)\right ) \]
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Rubi [A]
time = 0.01, antiderivative size = 15, normalized size of antiderivative = 0.79, 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 = {2225}
\begin {gather*} 25 e^x+25 x (1-\log (3)) \end {gather*}
Antiderivative was successfully verified.
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Rule 2225
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=25 x (1-\log (3))+25 \int e^x \, dx\\ &=25 e^x+25 x (1-\log (3))\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 12, normalized size = 0.63 \begin {gather*} 25 \left (e^x+x-x \log (3)\right ) \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.30, size = 14, normalized size = 0.74
method | result | size |
default | \(25 \,{\mathrm e}^{x}+25 x -25 x \ln \left (3\right )\) | \(14\) |
norman | \(\left (-25 \ln \left (3\right )+25\right ) x +25 \,{\mathrm e}^{x}\) | \(14\) |
risch | \(25 \,{\mathrm e}^{x}+25 x -25 x \ln \left (3\right )\) | \(14\) |
derivativedivides | \(25 \,{\mathrm e}^{x}+25 \left (1-\ln \left (3\right )\right ) \ln \left ({\mathrm e}^{x}\right )\) | \(17\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.29, size = 13, normalized size = 0.68 \begin {gather*} -25 \, x \log \left (3\right ) + 25 \, x + 25 \, e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.38, size = 13, normalized size = 0.68 \begin {gather*} -25 \, x \log \left (3\right ) + 25 \, x + 25 \, e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.02, size = 12, normalized size = 0.63 \begin {gather*} x \left (25 - 25 \log {\left (3 \right )}\right ) + 25 e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.41, size = 13, normalized size = 0.68 \begin {gather*} -25 \, x \log \left (3\right ) + 25 \, x + 25 \, e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.05, size = 14, normalized size = 0.74 \begin {gather*} 25\,{\mathrm {e}}^x-x\,\left (25\,\ln \left (3\right )-25\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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