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Set up an integral in rectangular coordinates equivalent to the integral

∫([itex]0 ≤ θ ≤ \frac{∏}{2})[/itex]∫([itex]1 ≤ r ≤ \sqrt{3})[/itex]∫(1 ≤ z ≤ √(4-r

^{2})) r

^{3}(sinθcosθ)z

^{2}dz dr dθ

Arrange the order of integration to be z first,then y,then x.

I manage to convert,however the answer has 2 parts and I only managed to get 1 part.How do I know if the answer will have more than 1 part?

thanks in advance!