Although they are not defined on all of space R³, the fields associated with are conservative. Find a potential function for each field and evaluate the integrals as in Example 6.

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EXAMPLE 6 Show that y dx + x dy + 4 dz is exact and evaluate the integral (2,3,-1) y dx + x dy + 4 dz (1,1,1) over any path from (1, 1, 1) to (2, 3, -1).