Chapter 14.2, Problem 34E

Line integrals of vector fields in the plane Given the following vector fields and oriented curves C, evaluate ${\displaystyle \underset{C}{\int }F\cdot Tds}$.

34.    F = (–y, x) on the semicircle r(t) = (4 cos t, 4 sin t), for 0 ≤ t ≤ π