Line integral

Calculus Level 3

Let CC be the arc of the parabola x=4y2x = 4-y^2 between the points (5,3)(-5,-3) and (0,2)(0,2). What is the value of

N=C(y2 dx+x dy)? N = \int_C \big(y^2\ dx + x\ dy\big) ?

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