In these line if we use Stoke's theorem in plane won't it be zero on converting it to double integral as the partial derivative of coefficient of y w.r.t x minus that of x w.r.t y is 0 . but its answer is given to be 1 . if my approach is wrong why can't we use stoke's theorem here? What alternate approach can be used?
problem on line integral using stoke's theorem
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vector-analysis
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2Stoke's theorem (or Green's theorem since we are in $\mathbb{R}^2$) is about a closed curve. Is $C$ closed? – 2017-01-21
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2No. I got it . thanks – 2017-01-21