Evaluate
\pi \left(2-y\right)
Differentiate w.r.t. y
-\pi
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\int \pi \left(2-y\right)\mathrm{d}x
Evaluate the indefinite integral first.
\pi \left(2-y\right)x
Find the integral of \pi \left(2-y\right) using the table of common integrals rule \int a\mathrm{d}x=ax.
\pi \left(2-y\right)\times 1-\pi \left(2-y\right)\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.
\pi \left(2-y\right)
Simplify.
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