Consider the line integral I = O rydy – y dx where C is the square cut from the first quadrant by the lines r =1 and y = 1. (i) Find the line integral I using the circulation form of Green's Theorem. (ii) Find the line integral I using the flux form of Green's Theorem.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Use Green's Theorem to find the following line integral

Consider the line integral I =
O xydy – y dx where C is the square cut from the first quadrant by
the lines x = 1 and y = 1.
(i) Find the line integral I using the circulation form of Green's Theorem.
(ii) Find the line integral I using the flux form of Green's Theorem.
Transcribed Image Text:Consider the line integral I = O xydy – y dx where C is the square cut from the first quadrant by the lines x = 1 and y = 1. (i) Find the line integral I using the circulation form of Green's Theorem. (ii) Find the line integral I using the flux form of Green's Theorem.
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