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# integrals of exact forms Watch

1. Let be an exact form and let be a chain.
Calculate .
I'm almost certain the answer's 0 but I'm not sure why, could someone please explain it.

(If it helps this possibly has something to do with stokes theorem and cohomology.)
2. Just use the definition of exact i.e. for some

and then Stokes' theorem which in this context says

and then the basic property of the boundary that allows one to define cohomology.
3. (Original post by abbii)
Let be an exact form and let be a chain.
Calculate .
I'm almost certain the answer's 0 but I'm not sure why, could someone please explain it.

(If it helps this possibly has something to do with stokes theorem and cohomology.)
What does it mean for a form to be exact? Then use stokes' theorem.
4. (Original post by Mark85)
Just use the definition of exact i.e. for some

and then Stokes' theorem which in this context says

and then the basic property of the boundary that allows one to define cohomology.
Thanks, so simple, I don't know how I didn't see it.

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