Consider the force functionF=i^yj^x. Take two paths starting at origin (0,0) and ending at (1,1). The first path is given by the line y = x. The second path is along x-axis from (0,0) to (1,0) and then the line x = 1 up to the point (1,1). Find the work done by finding the integralFdr along the two paths. Are the work done the same?

This is for classical mechanics.