# Homework Help: ∫ of (x^2) from 0 to 2 proof w/o using fundamental therom, but w/ Riemann Sums

1. Aug 15, 2012

### LearninDaMath

1. The problem statement, all variables and given/known data

$$\int_0^2 x^2 \, dx$$ using true definition involving Riemann Sums (w/o fundamental theorem).

2. Relevant equations

I don't know what the relevant equations may be, perhaps some type of lim$\sum f(x)(x_{j}-x_{j-1}$)

3. The attempt at a solution

No attempt. Just seeking the long proof for it. Would be grateful for any and all clues to where I could find the long solution to this.

2. Aug 15, 2012

### LCKurtz

Look at example 2 here for a similar, but different, example:

http://faculty.eicc.edu/bwood/math150supnotes/supplemental21.html [Broken]

Last edited by a moderator: May 6, 2017
3. Aug 15, 2012

### LearninDaMath

ah thanks, LC, I put that straight to my favorites. I believe that's all I would need to get the concept I'm looking to understand a little better. Appreciate your info.

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook