(adsbygoogle = window.adsbygoogle || []).push({}); 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!

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# Homework Help: Simple Integration Doubt regarding integral of dy

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