Using Green's Theorem for Clockwise-Oriented C

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Green's Theorem can be applied to clockwise-oriented curves by reversing the orientation to counterclockwise. This is achieved by multiplying the integral by (-1), effectively changing the sign of the area integral. The discussion emphasizes the importance of maintaining the correct orientation for accurate results. Participants highlight that reversing the direction is crucial for proper application of the theorem. Understanding these adjustments is essential for correctly utilizing Green's Theorem in various mathematical contexts.
DavidLiew
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How to use green's theorem when the C is oriented clockwise
 
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DavidLiew said:
How to use green's theorem when the C is oriented clockwise

Multiply by (-1)(-1) and use one of the minuses to reverse the direction.
 

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