Finding the area between curves. Below, we see a region bounded by two curves. (graph not necessarily to scale) 60 58 40 10 The region shaded in light blue is bounded by two curves, y = : (x − 1)² + 6 (in dark red) and y = 2(x − 3)² – 2 (in dark blue). - Part 1. 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 integral (with respect to x) will describe the area of the shaded region. Note: Set up the integral so that the lower limit of integration is less than the upper limit of integration.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 40E
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Finding the area between curves.
Below, we see a region bounded by two curves. (graph not necessarily to scale)
Part 1.
68
The region shaded in light blue is bounded by two curves, y = (x − 1)² + 6 (in dark red) and y = 2(x − 3)² – 2 (in dark blue).
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
integral (with respect to x) will describe the area of the shaded region.
Part 2.
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:Finding the area between curves. Below, we see a region bounded by two curves. (graph not necessarily to scale) Part 1. 68 The region shaded in light blue is bounded by two curves, y = (x − 1)² + 6 (in dark red) and y = 2(x − 3)² – 2 (in dark blue). 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 integral (with respect to x) will describe the area of the shaded region. Part 2. 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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