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Single Variable Calculus

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Difficult

Find Definite Integral by Drawing Region

SVCALC-JYPCQU

Find $\int_3^7 \sqrt{4-(x-5)^2} \ dx$ by sketching a graph of the integrand, shading the region corresponding to the integral, and calculating the area of the shaded region.

A

$\dfrac{\pi}{ 2}$

B

$0$

C

$2 \pi$

D

$\pi$