elow, we see a region bounded by two curves. (graph not necessarily to scale)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.5: Equations Of Lines
Problem 50E: The y-axis along with the graphs of y=-2x+7 and y=x+2 encloses a triangular region. Find the area of...
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Below, we see a region bounded by two curves. (graph not necessarily to scale)
Part 1.
The region shaded in light blue is bounded by two curves, y = —
[
0
-5
+
-10
Suppose that we wish to integrate with respect to x to find the value of the shaded area. Fill in the blanks so that the resulting
sum of integrals (with respect to x) will describe the area of the shaded region.
0
Part 2.
y
−3x² + x (in dark red) and y = x³ (in dark blue).
Note: Set up the integral so that the lower limit of integration is less than the upper limit of integration.
Finally, after evaluating the integrals above, we find that the area of the shaded region equals
Transcribed Image Text:Below, we see a region bounded by two curves. (graph not necessarily to scale) Part 1. The region shaded in light blue is bounded by two curves, y = — [ 0 -5 + -10 Suppose that we wish to integrate with respect to x to find the value of the shaded area. Fill in the blanks so that the resulting sum of integrals (with respect to x) will describe the area of the shaded region. 0 Part 2. y −3x² + x (in dark red) and y = x³ (in dark blue). Note: Set up the integral so that the lower limit of integration is less than the upper limit of integration. Finally, after evaluating the integrals above, we find that the area of the shaded region equals
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