Problem 7. Consider the line integral Z C y sin x dx ? cos x dy.(Please show all work)
a. Evaluate the line integral, assuming C is the line segmentfrom (0, 1) to (?, ?1).
b. Show that the vector field F = is conservative, and find apotential function V (x, y).
c. Evaluate the line integral where C is any path from (?, ?1)to (0, 1).
