Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise. 1 2 (2x + arctan y²) dy- [oy² + cos =) d - X dx, where C is the boundary of the square with vertices (5, 2), (8, 2), (8, 5), and (5, 5). ....

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise.
$(2x+
dy9y+ cos
1- [oy²
y²) dy
+ arctan y
(2x + arctan y²) dy - [9y² + cos ) dx = 0
C
(Type an exact answer.)
an example Get more help -
tv Sl
dx, where C is the boundary of the square with vertices (5, 2), (8, 2), (8,5), and (5, 5).
MacBook Air
……….
W
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Transcribed Image Text:Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise. $(2x+ dy9y+ cos 1- [oy² y²) dy + arctan y (2x + arctan y²) dy - [9y² + cos ) dx = 0 C (Type an exact answer.) an example Get more help - tv Sl dx, where C is the boundary of the square with vertices (5, 2), (8, 2), (8,5), and (5, 5). MacBook Air ………. W Clear all zoom Check answer
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