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Engineering Mathematics Miscellaneous

Engineering Mathematics

  1. 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.
    1. 18
    2. 13
    3. 16
    4. 15
Correct Option: C

c F . r ds = ∫c F . dr = ∫c F1dx + F2dy

R
δF2
- δF1
dxdy
δδ

F1 = y, F2 = 2x
R (2 - 1)dxdy



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