Calculate the following triple integral: 1 I = // / ₁ √² + R² + 2² where the solid S is defined as follows: dxdydz S = {(x, y, z) € R³: z² ≤ x² + y² ≤ 2z − z²} Obtain the equations of the surfaces involved and ske etch/describe the solid S. b) Perform the integration in cylindrical coordinates. le) State whether, in your opinion, it is better to proceed with an integration via cross-section method or shadow method. Both methods could also be equally plicable and there could be no "better" choice. Elaborate on your reasoning in (d) Write down the integral limits for both cases (cross-section method and shadow method), without performing the integration.

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