The graph of y = f(x) is shown below. -1 3 19 1 -1 -2 -3 -4 Evaluate: 2 [f(x) dx = 9 [ f(x) dx = 2 3 7 8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The graph of \( y = f(x) \) is shown below. The graph consists of two line segments:

1. The first segment starts at point (0, 3) and decreases linearly to point (2, -1).
2. The second segment is a horizontal line starting at point (2, -1) and continuing to point (9, -1).

Evaluate the following integrals:

\[ \int_{0}^{2} f(x) \, dx = \]

\[ \int_{0}^{9} f(x) \, dx = \]
Transcribed Image Text:The graph of \( y = f(x) \) is shown below. The graph consists of two line segments: 1. The first segment starts at point (0, 3) and decreases linearly to point (2, -1). 2. The second segment is a horizontal line starting at point (2, -1) and continuing to point (9, -1). Evaluate the following integrals: \[ \int_{0}^{2} f(x) \, dx = \] \[ \int_{0}^{9} f(x) \, dx = \]
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