The area of the region that lies to the right of the y-axis and to the left of the parabola x=6y-y² (the shaded region in the figure) is given by the if (by (6y-y²) dy. (Turn your head clockwise and think of the region as lying below the curve x=6y-y² from y=0 to y = 6.) Find the area of the integral region. 9 x=6y-y² X

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
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The area of the region that lies to the right of the y-axis and to the left of the parabola x=6y-y² (the shaded region in the figure) is given by the
= f (by-
(6y-y²) dy. (Turn your head clockwise and think of the region as lying below the curve x=6y-y² from y=0 to y = 6.) Find the area of the
integral
region.
x=6y-y²
X
Transcribed Image Text:The area of the region that lies to the right of the y-axis and to the left of the parabola x=6y-y² (the shaded region in the figure) is given by the = f (by- (6y-y²) dy. (Turn your head clockwise and think of the region as lying below the curve x=6y-y² from y=0 to y = 6.) Find the area of the integral region. x=6y-y² X
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