Simple Integration Doubt regarding integrals 1. The problem statement, all variables and given/known data What is the result of ∫dx??? is it x or x+C I thought about this two ways: 1) Through indefinite integration, it gives x+C 2) If I take a geometric interpretation, this integral gives me the area under the [f(x) and x] graph where f(x)=1 so by that the integral must be x(is there a C????) If it were x+C then in the khan academy video http://www.khanacademy.org/math/calculus/integral-calculus/v/simple-differential-equations [Broken] He puts ∫dy=y, wouldn't it be ∫dy=y+C 2. Relevant equations 3. The attempt at a solution Getting confused!