Evaluate
2\ln(3)\approx 2.197224577
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\int _{1}^{3}\log_{e}\left(3\right)\mathrm{d}x
Cancel out x in both numerator and denominator.
\int \log_{e}\left(3\right)\mathrm{d}x
Evaluate the indefinite integral first.
\log_{e}\left(3\right)x
Find the integral of \log_{e}\left(3\right) using the table of common integrals rule \int a\mathrm{d}x=ax.
\ln(3)x
Simplify.
\ln(3)\times 3-\ln(3)
The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.
2\ln(3)
Simplify.
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