Suppose
F(x, y) = 6 sin(x/2) sin(y/2)i – 6 cos (x/2) cos(y/2)j and C is the curve from P to Q in the figure. Calculate the line integral of F along the curve C. The labeled points are P=(−3π/2,3π/2), Q=(−3π/2,−3π/2), R=(3π/2,3π/2), and S=(3π/2,−3π/2). The curves PR and SQ are trigonometric functions of period 21 and amplitude 1.
