Answer:
Step-by-step explanation:
n=8 f(x) = x² - 4x
convert [0,2] into 8 subintervals
width of each interval is

All subintervals are:
[0, 0.25], [0.25, 0.5], [0.5, 0.75], [0.75, 1], [1, 1.25], [1.25, 1.5], [1.5, 1.75] and [1.75, 2]
Let,
be the right end point of each interval i=1,..8

Reiman sum is
![R_8=\delta x[f(x_1)+f(x_2)+...f(8)]\\\\0.25[f(0.25)+f(0.5)+...+f(2)]\\\\0.25\times[-23.25]\\=-5.8125](https://tex.z-dn.net/?f=R_8%3D%5Cdelta%20x%5Bf%28x_1%29%2Bf%28x_2%29%2B...f%288%29%5D%5C%5C%5C%5C0.25%5Bf%280.25%29%2Bf%280.5%29%2B...%2Bf%282%29%5D%5C%5C%5C%5C0.25%5Ctimes%5B-23.25%5D%5C%5C%3D-5.8125)