I think it will help me if look at examples. So, in other words, let's say we have an exact differential form:
$$\alpha = (yz-z)dx + (xz+z)dy + (xy-x+y)dz$$
How can I find a differential form $\omega$ such that the exterior derivative of $\omega$ is $\alpha$? Is it just integration? And if so, how would that look? I don't yet have a good understanding of integrating differential forms.
And is it a different or more difficult process if we have an exact 2-form?
For instance, say we have the 2-form:
$$\beta = 2xy^2 dxdy +z dydz$$
Thanks very much!