Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 6 y dx + 3x*dy, where Cis the square with vertices (0, 0), (3, 0), (3, 3), and (0, 3) oriented counterclockwise. 6 y²dx -81

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Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly.

∮C6 y2dx+3 x2dy∮C6⁢ y2dx+3⁢ x2dy, where CC is the square with vertices (0,0)(0,0), (3,0)(3,0), (3,3)(3,3), and (0,3)(0,3) oriented counterclockwise.

Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly.
+ 3x*dy, where Cis the square with vertices (0, 0), (3, 0), (3, 3), and (0, 3) oriented counterclockwise.
6 y²dx
-81
Transcribed Image Text:Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. + 3x*dy, where Cis the square with vertices (0, 0), (3, 0), (3, 3), and (0, 3) oriented counterclockwise. 6 y²dx -81
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