Work A particle moves along the path
(x, y)  (0, 0) 



(1, 1) 
F(x, y) 





To calculate: The work done by the force field by using Simpson’s rule or graphing utility if a if a particle moves along the path
Given:
A particle moves along the path
Formula Used:
The work done can be calculated as
Simpson’s rule is
Calculation:
As the particle moves along the path
And,
Therefore,
Differentiate
And,
Now, rewrite the values of the force field in vector form,
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