# Homework Help: Riemann Sum to Integral

1. Jan 26, 2012

### turbokaz

1. The problem statement, all variables and given/known data
For which integral, is the below example, a Riemann sum approximation.?
The example is: 1/30( sqrt(1/30) + sqrt(2/30) + sqrt(3/30)+...+sqrt(30/30))
A. Integral 0 to 1 sqrt(x/30)
B. Integral 0 to 1 sqrt(x)
C. (1/30) Integral 0 to 30 sqrt(x)
D. (1/30) Integral 0 to 1 sqrt(x)
E. (1/30) Integral 0 to 1 sqrt(x/30)

2. Relevant equations

3. The attempt at a solution
Honestly, I don't have a clue on how to ascertain this question. I understand that Riemann sums are basically a crude estimation of the area under a curve using rectangles. Can someone tell me which one is right and say why.

2. Jan 27, 2012

### 80past2

try writing out what the terms look like and see if you can figure out what it looks like. think about what each term means. distribute the 1/30. and think how reimann sums are constructed. see if that helps.

3. Jan 27, 2012

### 80past2

What I meant in my previous post was to actually graph your problem. Then superimpose the curve over it. It should be pretty obvious at that point what you're approximating.