Help with a line integral (Fundamental Theorem of Line Integrals)

I am trying to use the Fundamental Theorem of Line integrals to solve this problem. Basically, my problem is to find out if the following function is a gradient function:

**H** = -y**i** + x**j**

I tried integrating both terms, but I cant seem to find any function where the gradient is equal to **H**. The path I am moving along is from the origin to (3,0), and then from there in a circle of radius 3 around the origin to the point (3/sqrt(2),3/sqrt(2)).

Could anyone help me here?

Re: Help with a line integral (Fundamental Theorem of Line Integrals)

Quote:

Originally Posted by

**Pink** I tried integrating both terms, but I cant seem to find any function where the gradient is equal to **H**.

Notice that $\displaystyle \nabla \times \vec{H}\neq \vec{0}$ .