Let D be the region bounded by y = 1 − x2, y = 4 − x2, and the x- and y-axes. Evaluate the integral     Dx dA by dividing the region D into two regions of Type I.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Let D be the region bounded by
y = 1 − x2, y = 4 − x2,
and the x- and y-axes.
Evaluate the integral
 
 
D
x dA
by dividing the region D into two regions of Type I.
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