Explanation Given : The graphs of x = sin y and x = 1 − cos y are given as shown. Formula used : Area bounded by two curves is calculated using the formula as given below, A r e a = ∫ a b ( C u r v e t o t h e r i g h t – C u r v e t o t h e l e f t ) d y Calculation : If we look carefully, the curve x = sin y is the one at the right and x = 1 − cos y is at the left. Therefore, area bounded by the two curves is given by ∫ 0 π 2 ( sin y − ( 1 − cos y ) ) d y Simplifying the above expression, we get, ∫ 0 Π 2 ( sin y + cos y − 1 ) d y Integrating above expression to get the area bounded, we get

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 6.1, Problem 21E

To determine

The area under two curves $x = \sin y$ and $x = 1 - \cos y$ when $0 \leq y \leq \frac{π}{2}$ .

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Chapter 6.1, Problem 20E

Chapter 6.1, Problem 22E

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Chapter 6 Solutions

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