Evaluate I = fc (sin(x) + 4y) dx + (9x + 7y) dy for the nonclosed path ABCD in the figure.

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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**Question 5 of 15**

Evaluate \( I = \int_C (\sin(x) + 4y) \, dx + (9x + 7y) \, dy \) for the nonclosed path \( ABCD \) in the figure.

**Graph/Diagram Explanation:**

The graph depicts a path on a coordinate plane with the following points:
- Point \( A \) at \( (0, 0) \)
- Point \( D \) at \( (0, 6) \)
- An intermediate point on the path at \( (2, 4) \)
- Another intermediate point on the path at \( (2, 2) \)

The path connects these points in the sequence \( A \to (2, 2) \to (2, 4) \to D \).

\[
\text{(Give your answer as an exact or a whole number.)}
\]

\( I = \underline{\hspace{3cm}} \) 

The source of the problem is "Rogawski 4e Calculus Early Transcendentals," published by W.H. Freeman.
Transcribed Image Text:**Question 5 of 15** Evaluate \( I = \int_C (\sin(x) + 4y) \, dx + (9x + 7y) \, dy \) for the nonclosed path \( ABCD \) in the figure. **Graph/Diagram Explanation:** The graph depicts a path on a coordinate plane with the following points: - Point \( A \) at \( (0, 0) \) - Point \( D \) at \( (0, 6) \) - An intermediate point on the path at \( (2, 4) \) - Another intermediate point on the path at \( (2, 2) \) The path connects these points in the sequence \( A \to (2, 2) \to (2, 4) \to D \). \[ \text{(Give your answer as an exact or a whole number.)} \] \( I = \underline{\hspace{3cm}} \) The source of the problem is "Rogawski 4e Calculus Early Transcendentals," published by W.H. Freeman.
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