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Double Integals, Polar Coordinates and Surface Integrals

A) Make use of the polar coordinates to evaluate ∫∫R√x2 + y2 dR; where R is the region bounded by the semicircle y = √2x - x2 and the line y = x.

b) Evaluate the surface integral ∫∫S x2 dS, where S is the upper half of the
sphere x2 + y2 + z2 = 4.

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