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
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Chapter2: Second-order Linear Odes
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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 

\[
\int_C 7y^2 \, dx + 8x^2y \, dy.
\]
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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