Find the line integral along the given path C. - vidx, where C: x=t. y =7t+3, for Ots 8 C (x - y)dx = CEvaluate J xy dx + (x + y)dy along the curve y = 3x- from ( - 3,27) to (2, 12). C xy dx + (x + y)dy = C (Type an integer or a simplified fraction.)Find the work done by the force F = xyi + (y - x)j over the straight line from (1,2) to (2,3). The amount of work done is (Type an integer or a simplified fraction.)Find the circulation and the flux of the field F = - y i - x j around and across the following curves. a. The circle r(t) = (cos t)i + (sin t)j, Ost= 2x b. The ellipse r(t) = (cos t)i + (5 sin t)j, Osts2x a. The circulation of F around the circle is (Type an exact answer.)