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\[\int\limits_{0}^{2\pi}\int\limits_{0}^{\sqrt{7 \over 2}} [5 - (7 - 2x^2 - 2y^2)] rdrd \theta \]

can't get the right answer. what is it supposed to be:)?

There must be a 2pi in the outer integral top bound.

I do not know what the answer is.

Then how can you say "can't get the right answer." ?

because the answer choices are 2pi, 3pi/2, pi/2, pi, and 5pi/2. and i'm not getting one of these.

Nah I unfortunately don't know what they want, sorry.