# Riemman Sum Homework

1. May 4, 2008

### MillerL7

The following sum
Sqrt(5+5/n) * (5/n) + Sqrt(5 +10/n) * (5/n)....

is a right Riemann sum for the definite integral
a=3 and b= 8

what does f(x) equal? I got a and b but could not find f(x)

It is also a Riemann sum for the definite integral
Sqrt(5+5/n) * (5/n) (same as above)

With the same sum, we got a different a and b
a=5 and b=10
What is g(x)?
The limit of these Riemann sums as n approaches infinity = ?

2. May 5, 2008

### daniel_i_l

Do you know how the definite integral is defined using Riemann sums?

3. May 5, 2008

### HallsofIvy

Staff Emeritus
A Riemann sum is always of the form $\Sigma f(x^*) \Delta x$. Which part of your sum is "$\Delta x$" and which part is "$f(x^*)$"?