From Conservative Vector Field to Potential Energy function

[bingo92]

What if when I'm finding the repeated terms from integrating the vector field with respect to x and then y, i come across two terms that are same except one is negative and the other positive. What does that mean, and how do i represent that in the overall potential function I'm finding?

 

[HallsofIvy]

I have no clue what you mean by "two terms that are same except one is negative and the other positive". Could you post a specific example?