Answered: Evaluating a double integral Express…

Evaluating a double integral Express the integral ∫∫R 2x2y dA as an iteratedintegral, where R is the region bounded by the parabolas y = 3x2 and y = 16 - x2. Then evaluate the integral.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.CR: Chapter 8 Review

Problem 14CR

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Question

Evaluating a double integral Express the integral ∫∫_R 2x²y dA as an iterated
integral, where R is the region bounded by the parabolas y = 3x² and y = 16 - x². Then evaluate the integral.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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