Chapter 5.4, Problem 49E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

The area of the region that lies to the right of the *y*-axis and to the left of the parabola *x* = 2*y* − *y*^{2} (the shaded region in the figure) is given by the integral
*x* = 2*y* − *y*^{2} from *y* = 0 to *y* = 2.) Find the area of the region.

To determine

**To find:** The area of the shaded region.

Explanation

**Given information:**

The shaded region is bounded by a curve with

The region lies between

Find the area of the shaded region (*A*) as shown below:

Here, the curve function is *x*, the lower limit is *a*, and the upper limit is *b*.

Substitute *x*, 2 for *b*, and 0 for *a* in Equation (1).

Sect-5.1 P-1ESect-5.1 P-2ESect-5.1 P-3ESect-5.1 P-4ESect-5.1 P-5ESect-5.1 P-6ESect-5.1 P-7ESect-5.1 P-8ESect-5.1 P-13ESect-5.1 P-14E

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