The shaded region shown in the figure above is trapped between the graphs of æ + y = 0 and ¤ = y² + 3y. Which of the following integrals finds the area of the shaded region?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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x+y=0
x=y^2+3y
-5
(-2.25, -1.5)
(4, -4)
The shaded region shown in the figure above is trapped between the graphs of x + y = 0 and x =
y? + 3y.
Which of the following integrals finds the area of the shaded region?
S*2 25 (1) – (y² + 3y) dy
o sº,(-y) – (y² + 3y) dy
S22% (x + y) – (y² + 3y) dæ
sºa (y² + 3y) – (-y) dæ
Transcribed Image Text:x+y=0 x=y^2+3y -5 (-2.25, -1.5) (4, -4) The shaded region shown in the figure above is trapped between the graphs of x + y = 0 and x = y? + 3y. Which of the following integrals finds the area of the shaded region? S*2 25 (1) – (y² + 3y) dy o sº,(-y) – (y² + 3y) dy S22% (x + y) – (y² + 3y) dæ sºa (y² + 3y) – (-y) dæ
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