Evaluate the following integrals over the specified region 1 (1 + x + y) JS R dA;

Evaluate the following integrals over the specified region

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1 (1 + x² + y²)² JS R dA; R = {(r, 0): 1 ≤ r ≤ 4,0 ≤ 0 ≤ πT}