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Suppose $R$ is the shaded region in the figure. As an iterated integral in polar coordinates,

$\displaystyle \iint\limits_R f(x,y) \, dA = \int_A^B \!\! \int_C^D f(r\cos(\theta),r\sin(\theta)) \, r \, dr \, d\theta$

with limits of integration

A =
B =
C =
D =

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You can earn partial credit on this problem.