# Improper integral and rectangle method

1. Sep 16, 2006

### lokofer

Improper integral and "rectangle" method

If we have a definite integral then..using "rectangle" method we can get the approximation:

$$\int_{a}^{b}f(x)dx \sim \sum_{n=0}^{N}f(a+nh)h$$

My question is..how do you define this method when b-->oo (Imporper integral?)...

2. Sep 16, 2006

### AKG

The upper limit N must be such that a + Nh = b. If b -> oo, then make the upper limit N = oo.

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?