Calculus Methods
17 Numerical Integration
1)
Calculate the width of each step, 
,
where 
and 
are
the starting and ending limits of the integral and 
is the number of
intervals.
2) For Trapezoidal Rule,
It is important to remember the pattern:
3)
For Simpson's Rule, 
must be even,
It is important to remember the pattern:
Example: Using both the Trapezoidal Rule and Simpson's Rule to
approximate the integral
using 4 intervals.
1)
2)
3)
The better approximate value is easily found using Error
Functions, and is approximately:
On to Method 18 - Euler's Method