The line integral along a path is the work done along that path.
That is Work done
Therefore, Work done
In order to completely express an integral in terms of x, swap out the values of y and dy.
Since x increases from 1 to 2 as we proceed from (1,0) to (2,1), we shall integrate from 1 to 2 with respect to x.
Work done along the path is the line integral along that path denoted as:
F(x,y) dot product with
Given that CL
Replace the value of y and dy in Eq 1
Limits of x are 1 to 2 respectively
Evaluate limits to obtain
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