Problem 2. Compute the following line integrals. When computing these integrals, think carefully about whether there are any shortcuts that you can use, such as using symmetry or perpendicularity, using the Fundamental Theorem of Calculus of Line Integrals, or using Green's Theorem. If you use a shortcut, then youmust shor that it is valid. The following integrals have been given in random order, not in order of difficulty, so take an unbiased look at each one and try to find the best strategy to solve each problem in the most efficient way. . where is the curve y cos from (b) F-dr, where Ft(z, y) = y(z 3)I+ (1-2) (y 1 )y, and C is the square with vertices (0,0), The line integral (2,0), (2, 2), and (,2), oriented counterclockwise (c) The line integral r. where he quarter-circle shown (d) The line integral F-dr, where Flesh z) = 2rys+ (r2-2yz)/-y2k, and C is the f = 18 level curve on the graph off(r,y) = 2 2 + 2y2 in 3D space, oriented clockwise if we look upon the curve from above.