Optimal. Leaf size=12 \[ \frac {(10 e)^x}{1+\log (10)} \]
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Rubi [A]
time = 0.00, antiderivative size = 12, 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 = {2225}
\begin {gather*} \frac {(10 e)^x}{1+\log (10)} \end {gather*}
Antiderivative was successfully verified.
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Rule 2225
Rubi steps
\begin {align*} \int (10 e)^x \, dx &=\frac {(10 e)^x}{1+\log (10)}\\ \end {align*}
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Mathematica [A]
time = 0.00, size = 12, normalized size = 1.00 \begin {gather*} \frac {(10 e)^x}{\log (10 e)} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.02, size = 15, normalized size = 1.25
method | result | size |
gosper | \(\frac {\left (10 \,{\mathrm e}\right )^{x}}{\ln \left (10 \,{\mathrm e}\right )}\) | \(15\) |
derivativedivides | \(\frac {\left (10 \,{\mathrm e}\right )^{x}}{\ln \left (10 \,{\mathrm e}\right )}\) | \(15\) |
default | \(\frac {\left (10 \,{\mathrm e}\right )^{x}}{\ln \left (10 \,{\mathrm e}\right )}\) | \(15\) |
norman | \(\frac {{\mathrm e}^{x \ln \left (10 \,{\mathrm e}\right )}}{1+\ln \left (10\right )}\) | \(16\) |
risch | \(\frac {5^{x} 2^{x} {\mathrm e}^{x}}{1+\ln \left (2\right )+\ln \left (5\right )}\) | \(18\) |
meijerg | \(-\frac {1-{\mathrm e}^{x \left (1+\ln \left (10\right )\right )}}{1+\ln \left (10\right )}\) | \(20\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 2.01, size = 14, normalized size = 1.17 \begin {gather*} \frac {\left (10 \, e\right )^{x}}{\log \left (10 \, e\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.70, size = 14, normalized size = 1.17 \begin {gather*} \frac {e^{\left (x \log \left (10\right ) + x\right )}}{\log \left (10\right ) + 1} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.03, size = 10, normalized size = 0.83 \begin {gather*} \frac {\left (10 e\right )^{x}}{1 + \log {\left (10 \right )}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.49, size = 13, normalized size = 1.08 \begin {gather*} \frac {\left (10 \, e\right )^{x}}{\log \left (10\right ) + 1} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.07, size = 12, normalized size = 1.00 \begin {gather*} \frac {{10}^x\,{\mathrm {e}}^x}{\ln \left (10\right )+1} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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