2. Evaluate - ysin x) dar + (cose + re") dy, where C is the curve x = 1-y' from (0, -1) to (0, 1). [Hint: It may be a good idea to "close the curve" by adding a line segment along the y axis and then apply the Green's theorem.ler - ysix Jax + (omx . we'lldy wa 1- y', id yet ME) = 1-tz dx = - 2tdt This, x.= 1= th yat vit) = t. dy = dt Both= ( 1-th, t ) te [-1, 1] t sin(1-43)(at) + (Gos( 1-12)+ (1-the* ) To cake is Simply closed curve we can add fired A with torn C. we A 'S gives by the Following most dredt did dy - t - 1 (1-y" )dy - (-1- 1) + 2 = (1- (-1) - (4-1-4)) +2