Optimal. Leaf size=10 \[ -2+e^{2 x} \log (25) \]
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Rubi [A] time = 0.00, antiderivative size = 8, normalized size of antiderivative = 0.80, 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, 2194} \begin {gather*} e^{2 x} \log (25) \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 2194
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=(2 \log (25)) \int e^{2 x} \, dx\\ &=e^{2 x} \log (25)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 11, normalized size = 1.10 \begin {gather*} \frac {1}{2} e^{2 x} \log (625) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.91, size = 8, normalized size = 0.80 \begin {gather*} 2 \, e^{\left (2 \, x\right )} \log \relax (5) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.12, size = 8, normalized size = 0.80 \begin {gather*} 2 \, e^{\left (2 \, x\right )} \log \relax (5) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 9, normalized size = 0.90
method | result | size |
gosper | \(2 \ln \relax (5) {\mathrm e}^{2 x}\) | \(9\) |
derivativedivides | \(2 \ln \relax (5) {\mathrm e}^{2 x}\) | \(9\) |
default | \(2 \ln \relax (5) {\mathrm e}^{2 x}\) | \(9\) |
norman | \(2 \ln \relax (5) {\mathrm e}^{2 x}\) | \(9\) |
risch | \(2 \ln \relax (5) {\mathrm e}^{2 x}\) | \(9\) |
meijerg | \(-2 \ln \relax (5) \left (1-{\mathrm e}^{2 x}\right )\) | \(13\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.36, size = 8, normalized size = 0.80 \begin {gather*} 2 \, e^{\left (2 \, x\right )} \log \relax (5) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 4.05, size = 8, normalized size = 0.80 \begin {gather*} 2\,{\mathrm {e}}^{2\,x}\,\ln \relax (5) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 8, normalized size = 0.80 \begin {gather*} 2 e^{2 x} \log {\relax (5 )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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