## 7.1. Riemann Integral

### Examples 7.1.2(b):

If we want to divide*[a, b]*into

*n*subintervals so that each of them has the same width, then we must choose the width of those subintervals to be

*. Moreover, the partition would consist of the following*

^{b - a}/_{n}*n+1*points:

x= b_{0}= a = a + 0^{.}^{b - a}/_{n}

x_{1}= a + 1^{.}^{b - a}/_{n}

...

x_{n-1}= a + (n-1)^{.}^{b - a}/_{n}

x_{n}= a + n^{.}^{b - a}/_{n}