Consider the integral 2 0 2x x2 (2x + 1) dy dx. (a) Evaluate this integral. (b) Sketch

Chapter 5, Problem 1

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Consider the integral 2 0 2x x2 (2x + 1) dy dx. (a) Evaluate this integral. (b) Sketch the region of integration. (c) Write an equivalent iterated integral with the order of integration reversed. Evaluate this new integral and check that your answer agrees with part (a). I

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