# How do you find the area using the trapezoidal approximation method, given #(x^2-x)dx#, on the interval [0,2] with n=4?

##### 1 Answer

Aug 18, 2017

The interval

The first three intervals are actually triangles since they have

Using the points

#f(0)=0# #f(1/2)=-1/4# #f(1)=0# #f(3/2)=3/4# #f(2)=2#

we can calculate all the needed areas. The area for a trapezoid is given by

#=3/4#