Explanation Given: ∫ 0 π 2 ∫ 0 π 2 cos ( x ) sin ( 2 y ) d x d y Calculation: Step 1: ∫ 0 π 2 cos ( x ) sin ( 2 y ) d x = Compute the indefinite integral ∫ cos ( x ) sin ( 2 y ) d x Take the constant out: sin ( 2 y ) ∫ cos ( x ) d x = sin(2y)sin(x) + C (Adding a constant to a solution) Step 2: Compute the boundaries ∫ 0 π 2 cos ( x ) sin ( 2 y ) d x Formula used: ∫ a b f ( x ) d x = F ( b ) − F ( a ) = lim x → b − ( F ( x ) ) - lim x → a + ( F ( x ) ) lim x

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 16.1, Problem 39E

To determine

The value of the integral $\int_{0}^{\frac{π}{2}} \int_{0}^{\frac{π}{2}} \cos (x) \sin (2 y) d x d y$

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Chapter 16.1, Problem 38E

Chapter 16.1, Problem 40E

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Chapter 16 Solutions

CALCULUS (CLOTH)

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