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\int \frac{3}{4}\mathrm{d}x
Evaluate the indefinite integral first.
\frac{3x}{4}
Find the integral of \frac{3}{4} using the table of common integrals rule \int a\mathrm{d}x=ax.
\frac{3}{4}\times 2-\frac{3}{4}\left(-3\right)
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{15}{4}
Simplify.