Consider the shaded region between the curves z = f(y) and r g(y) in the image below. %3D - () (3,2) -2 (3, -2) (a) Write a single definite integral which represents the area of the shaded region. (b) as the sum of four definite integrals, with each integral representing the area of a different piece. (Your integrand must not contain any absolute values.) The shaded region above is broken into four pieces. Write the area of the entire shaded region

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Consider the shaded region between the curves r =
f(y) and r g(y) in the image below.
%3D
-3
(3,2)
-2
-1
(3,-2)
(a)
Write a single definite integral which represents the area of the shaded region.
) The shaded region above is broken into four pieces. Write the area of the entire shaded region
(b)
as the sum of four definite integrals, with each integral representing the area of a different piece. (Your
integrand must not contain any absolute values.)
Transcribed Image Text:Consider the shaded region between the curves r = f(y) and r g(y) in the image below. %3D -3 (3,2) -2 -1 (3,-2) (a) Write a single definite integral which represents the area of the shaded region. ) The shaded region above is broken into four pieces. Write the area of the entire shaded region (b) as the sum of four definite integrals, with each integral representing the area of a different piece. (Your integrand must not contain any absolute values.)
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