## 7.1. Riemann Integral

### Examples 7.1.2(a):

To find a partition of the interval*[0, 2]*into

*10*equally spaced subintervals means to find points

*x*,

_{0}*x*, ...

_{1}*x*inside that interval so that each point has the same distance from its predecessor. Therefore, the points are:

_{10}Therefore, the norm of this partition is

x_{0}= 0/10 = 0x_{1}= 2/10x_{2}= 4/10x_{3}= 6/10x_{4}= 8/10x_{5}= 10/10x_{6}= 12/10x_{7}= 14/10x_{8}= 16/10x_{9}= 18/10x_{10}= 20/10 = 2

*2/10*.