Thread: Urgent: Review problem for Final: Path Independence and Potential Functions

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

Originally Posted by FalconPUNCH!

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

Find a scalar function such that :

.... (1)


.... (2)


Solve the above simultaneous partial differential equations for .

The line integral is equal to .