Originally Posted by

**godiva** I just can't get my head around these line integrals and their difference.

When do I use:

$\displaystyle \int_C F \cdot dr = f(B) - f(A)$

Green's theorem which is $\displaystyle \oint_C F\cdot T ds = \int \int (curlF) \cdot k dxdy$

Divergence theorem: $\displaystyle \int \int_S F \cdot n d\sigma = \int \int \int divF dV$

and Stokes theorem which is $\displaystyle \oint F \cdot dr = \int \int CurlF \cdot n d\sigma$

Can someone explain clearly when to use each one because to me, all the questions kind of look the same. Anyone know any tricks?