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\int \log_{10}\left(3\right)\mathrm{d}x
Evaluate the indefinite integral first.
\log_{10}\left(3\right)x
Find the integral of \log_{10}\left(3\right) using the table of common integrals rule \int a\mathrm{d}x=ax.
x\log_{10}\left(3\right)
Simplify.
\ln(3)\ln(10)^{-1}\times 1-\ln(3)\ln(10)^{-1}\times 0
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.
\log(3)
Simplify.