Let C be the positively oriented square with vertices (0, 0), (3, 0), (3, 3), (0, 3). Use Theorem to evaluate the line integral S7y²x dx + 8x²y dy.
Let C be the positively oriented square with vertices (0, 0), (3, 0), (3, 3), (0, 3). Use Theorem to evaluate the line integral S7y²x dx + 8x²y dy.
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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![Let \( C \) be the positively oriented square with vertices \( (0, 0) \), \( (3, 0) \), \( (3, 3) \), \( (0, 3) \). Use Green's Theorem to evaluate the line integral
\[
\int_C 7y^2 \, dx + 8x^2y \, dy.
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F140bd83b-645e-45c3-8644-e53276eab044%2F7b12b41f-4a09-4af4-98ab-3219e60cdbe1%2Fmzyohv_processed.png&w=3840&q=75)
Transcribed Image Text:Let \( C \) be the positively oriented square with vertices \( (0, 0) \), \( (3, 0) \), \( (3, 3) \), \( (0, 3) \). Use Green's Theorem to evaluate the line integral
\[
\int_C 7y^2 \, dx + 8x^2y \, dy.
\]
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