# Math Help - Path independence ...

1. ## Path independence ...

Suppose that
If , find .

2. Originally Posted by iwonder
Suppose that
If , find .

Integrating the i, j, and k components with respect to x, y, z (respectively) yields the potential function $f=yze^{x^2}+C$. You know that $f(0,0,0)=-3$. So your constant of integration is -3. Therefore your potential function is $f=yze^{x^2}-3$

Evaluate that potential function at the point (1,1,7).