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Could you help me with this question? I'm not sure how to solve for the values. I'd appreciate the help.

 

Here is the question again (Evaluate the line integrals Z
C F · dr of the vector field F = h−y, xi where C is the positively oriented semicircle r(t) = h4 cost, 4 sin ti above x−axis.)

Evaluate the line integrals
F. dr of the vector field F = (-y, x) where C is the positively oriented
%3D
semicircle r(t) = (4 cos t, 4 sin t) above r-axis.
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Transcribed Image Text

Evaluate the line integrals F. dr of the vector field F = (-y, x) where C is the positively oriented %3D semicircle r(t) = (4 cos t, 4 sin t) above r-axis.