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## Homework Statement

I am currently trying to prove:

S = ∫∫a

^{2}sinΦdΦdθ

Here is my work (note that in my work I use dS instead of S, this is an accident):

I end up with:

S = ∫∫a*da

^{2}sinΦdΦdθ

Where da is the infinitesimal thickness of the surface.

Why am I getting the wrong answer?