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\int _{0}^{3}6\mathrm{d}x
Cancel out x in both numerator and denominator.
\int 6\mathrm{d}x
Evaluate the indefinite integral first.
6x
Find the integral of 6 using the table of common integrals rule \int a\mathrm{d}x=ax.
6\times 3-6\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.
18
Simplify.