(a) Let R > 5 and let CR be the closed, anticlockwise contour obtained by joining the line segment [—R, R] and the upper semicircle SÅ that connects R to −R via iR. i. Evaluate the integral Sen ii. Use part i. to evaluate the real integral 1 (z² - 6z+25)² (You may use the inequality Von SR without proof.) 1 10 (47² - 6x + 25)² -∞ 1 (2² − 6z+25)2 dz ≤ - dz. dx. TR (R² – 6R – 25)² for all R > 5

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