# Math Help - Integrals & Sigma Notation

1. ## Integrals & Sigma Notation

Consider the definite integral
Then the right Riemann sum obtained by subdividing the integral into equal parts is
where

(Your answer should contain the variables and .) After simplifying this algebraically and breaking it up into three parts, we can write this Riemann sum as
where

should only depend on and not on . After applying the formulas
we can rewrite the Riemann sum as the following function of :

Taking the limit of this as , we obtain that

Im stuck at the first part. I know that the delta x is supposed to be b-a/n so that would be 2/n. other than that I am not sure where to go

2. $f(x) = 3x^2 + 2x + 3$

Right Riemann sum in interval $[a,b]$ of $n$ equal parts is:
$\sum_{i=1}^n f(x_i)\Delta x$

Where $\Delta x = \frac{b-a}{n}$ and $x_i = a + i\Delta x$.

3. Also, this thread could be useful.

Fernando Revilla