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Differentiate w.r.t. x
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\int \frac{3}{2}\mathrm{d}y
Evaluate the indefinite integral first.
\frac{3y}{2}
Find the integral of \frac{3}{2} using the table of common integrals rule \int a\mathrm{d}y=ay.
\frac{3}{2}\left(2-x\right)-\frac{3}{2}\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.
3-\frac{3x}{2}
Simplify.