Integrals in strips Consider the integral I = OR dA 11 +

Chapter 13, Problem 73

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Integrals in strips Consider the integral I = OR dA 11 + x2 + y2 22 , where R = 51x, y2: 0 x 1, 0 y a6. a. Evaluate I for a = 1. (Hint: Use polar coordinates.) b. Evaluate I for arbitrary a 7 0. c. Let aS _ in part (b) to find I over the infinite strip R = 51x, y2: 0 x 1, 0 y 6 _6.

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