The graph shows a linear function, together with a shaded region below it. Complete the notation for the integral representing the area of the shaded region. + -10 9 8 7 16 4 3 2 1 1 2 3 4 5 6 7 8 9 10 1 dr
The graph shows a linear function, together with a shaded region below it. Complete the notation for the integral representing the area of the shaded region. + -10 9 8 7 16 4 3 2 1 1 2 3 4 5 6 7 8 9 10 1 dr
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:The graph displays a linear function with a shaded rectangular region beneath it. The objective is to complete the notation for the integral that represents the area of this shaded region.
**Graph Details:**
- The linear function is drawn as a straight line that slopes downward from left to right.
- The line starts slightly above the 10 on the y-axis and continues downward beyond the shown range on the right side.
- The shaded region is a rectangle, located between x = 2 and x = 5.
- The rectangle's height reaches up to the point where x = 2 and the line intersects the y value at just above 4, extending to when x = 5 where the line intersects at just above 2.
**Integral Notation:**
The integral is set up to calculate the area under the linear function from x = 2 to x = 5. Fill in the limits of integration and the function of the line.
Boxes to Complete:
- First box: Upper limit of integration (5)
- Integral expression: Function of the line (e.g., the equation)
- Last box: Lower limit of integration (2)
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