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The value of the line integral ∮F . rds , where C is a circle of radius units is ________
Here, F ( x, y ) = yî + 2xĵ and r̂ is the UNIT tangent vector on the curve C at an arc length s from a reference point on the curve î and î are the basis vectors in the x – y Cartesian reference. In evaluating the line integral, the curve has to be traversed in the counterclockwise direction.
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Correct Option: C
∫c F . r ds = ∫c F . dr = ∫c F1dx + F2dy
∬R | dxdy | δ | δ |
F1 = y, F2 = 2x
∬R (2 - 1)dxdy