1. (20 points 4 pages max) Evaluate the double integral dx dy I (p, R) := √ √ p (p² + x² + y²) p over the circular disk D = {(x, y)|x² + y² ≤ R²}. Determine those values of p for which I (p, R) tends to a limit as R→ +∞. For those values of p for which a limit exists, determine the limit. Justify your answer.