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\int \frac{1}{2}\mathrm{d}x
Evaluate the indefinite integral first.
\frac{x}{2}
Find the integral of \frac{1}{2} using the table of common integrals rule \int a\mathrm{d}x=ax.
\frac{1}{2}\times 3-\frac{1}{2}\times 2
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.
\frac{1}{2}
Simplify.