SET UP the double integral to find the area of e right by the parabola y = x², on the left by the line x Cture of your 2-Dimensional region

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 3YT
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picture of your 2-Dimensional region to support your limits of integration
SET UP the double integral to find the area of the "triangular" region in the xy-plane that is bounded on
the right by the parabola y = x2, on the left by the line x + y = 2, and above by the line y = 4. You must DRAW a
Vy
"y=x²
J=2-X
Y=x2
SS
R
J
2-X
da
dx
x==2=-
X
y = 4
X=1
x²+x-2=0
(x + 2) (x - 1) = 0 P ²
0
= 2
Transcribed Image Text:picture of your 2-Dimensional region to support your limits of integration SET UP the double integral to find the area of the "triangular" region in the xy-plane that is bounded on the right by the parabola y = x2, on the left by the line x + y = 2, and above by the line y = 4. You must DRAW a Vy "y=x² J=2-X Y=x2 SS R J 2-X da dx x==2=- X y = 4 X=1 x²+x-2=0 (x + 2) (x - 1) = 0 P ² 0 = 2
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