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okay in this video we want to look at the notion of an integral of a differential to form in our n so lets go ahead and look at the set up so we have a function fee which is a smooth continuous infinitely differentiable function from D to RN D is a subset of r2 so we can think about that as parameterizing a two-dimensional surface inside of RN so think back to calculus 3 when you did surface integrals over say a sphere or a cylinder in r3 this is the same kind of idea back then you parameterised a cylinder or a sphere and r3 now what were doing is just parameterizing some surface a two-dimensional space in a much larger n dimensional space like I said our goal is to find the integral of a differential to form which well call Omega over the surface s now lets just recall what a differential to form is real quick we did this in a couple of previous videos check back on those if you need to but if we have a differential to form Omega then it has a two-stage evaluation so the first st