[See Steps] Sketch the region of integration and then evaluate the following by changing to cylindrical or spherical coordinates: ∫_-2^0 ∫_0^√4-y^2
Question: Sketch the region of integration and then evaluate the following by changing to cylindrical or spherical coordinates:
- \(\int_{-2}^{0} \int_{0}^{\sqrt{4-y^{2}}} \int_{0}^{5} e^{x^{2}+y^{2}} d z d x d y\)
- \(\int_{0}^{3} \int_{0}^{\sqrt{9-x^{2}}} \int_{\sqrt{x^{2}+y^{2}}}^{\sqrt{18-x^{2}-y^{2}}} z \sqrt{x^{2}+y^{2}+z^{2}} d z d y d x\)
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