I started this question and got stuck;

Show that the differential form in the integral is exact. Then evaluate the integral:

Integral from (0,0,0) to (3,3,1) of 2xdx - y^2dy - 4/(1+z^2)dz

This is what I've done so far:

M=2x , N=-y^2 , P=-4/(1+z^2)

Then I showed that it is conservative because;

dp/dy=dn/dz , dm/dz=dp/dx , dn/dx=dm/dy

*(I wasn't sure what it meant by showing it was exact, I thought that meant conservative)*

from here I did;

df/dx=2x ---> f(x,y,z)=x^2 + g(y,z)

But then df/dy=x^2 + dg/dy = y^2 so this is where I didn't understand what to do....

Please help if you know this!!!