4. Consider the line integral _C F dr where C is the quarter circle r(t)= cos(t)i + sin(t)j,0 t /2 and F = j (a constant field). 1. Compute this integral by the Fundamental Theorem, finding first a function f such that F =f . 2. Since F is conservative, in computing _C F dr the curve C may be replaced by any other path with the same initial and end points. Find a path that goes from (1,0) to the origin and then to (0,1) for which the line integral of F is obviously equal to one.