Question

O Evaluate the integral \int_{0}^{1} \int_{-1}^{1} \int_{-\sqrt{1-x^{2}}}^{\sqrt{1-x^{2}}} \sin \left(x^{2}+y^{2}\right) d y d x d z by converting to cylindrical coordinates and then evaluating. ) Based upon the limits in the integrated integrals, express the solid E algebraically. (b) Sketch the solid E. c) Express the solid E algebraically suing cylindrical coordinates. (d) Change the iterated integral in cylindrical coordinates, and then evaluate the iter-ated integral.

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