1. The problem statement, all variables and given/known data Determine the expression for the area bounded by a polar curve and the criterion for integrability using both Darboux and Riemann sums. 2. Relevant equations N/A 3. The attempt at a solution Any suggestions on how to correct any errors in the following proof, particularly in the steps determining the criterion for Riemann integrability are much appreciated. I'm not particularly great at proofs so constructive criticism is welcome. I had to convert the file to a pdf and it screwed up a couple of the equations, most notably, a factor of (ti - ti-1) appears in the denominator when it should not. Thanks!