This isn't homework but it's on our review for our final and I can't figure out the second part to save my life.
Question: Let
. Show that the line integral
is independent of the path, and then find the value of the integral from (0,1) to (5,3).
The * is supposed to mean dot.
I know you're supposed to have a F(x) = the i part and F(y) = the j part, take the derivative with respect to x of the i part and take the derivative with respect to y for the j part. I don't know where to go from there.
thanks