Explanation Given: The given curve are y = x and y = sin ( π 2 x ) . Calculation: First we find the point of intersection of both curve and in first quadrant. So, we equate both equation equal and solve for x sin ( π 2 x ) = x x = 0 , 1 Point of intersection: ( 0 , 0 ) , ( 1 , 1 ) Sketch the both curve: Now, we find the area under the curve. A = ∫ a b ( y U − y L ) d x Where, a = 0 , b = 1 , y U = sin ( π 2 x ) , y L = x

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 6.1, Problem 16E

To determine

To sketch the curve and find the area.

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Chapter 6.1, Problem 15E

Chapter 6.1, Problem 17E

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Chapter 6 Solutions

CALCULUS (CLOTH)

Ch. 6.1 - Prob. 1PQ Ch. 6.1 - Prob. 2PQ Ch. 6.1 - Prob. 3PQ Ch. 6.1 - Prob. 4PQ Ch. 6.1 - Prob. 5PQ Ch. 6.1 - Prob. 6PQ Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E

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To sketch the curve and find the area.

Solution Summary: The author explains how to sketch the curve and find the area under it.

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To sketch the curve and find the area.

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Chapter 6 Solutions