# Given f(x) cos(2x) and the interval [0, 3 frac{pi}{4}] approximate the area bounded by the graph of f(x) and the axis on the interval using a left, right, and mid point Riemann sum with n = 3

Given and the interval

approximate the area bounded by the graph of f(x) and the axis on the interval using a left, right, and mid point Riemann sum with $n=3$
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dessinemoie

Step 1
Interval is to be devided into 3 sub-intervals whos length is given by

Sep 2
Therefore, the three sub-intervals are

Step 3
Area bounded by the graph of f(x) and the axis on the interval using a left end point Riemann sum id given by

Step 4
Area bounded by the graph of f(x) and the axis on the interval using a right end point Riemann sum is given by

Step 5
Area bounded by the graph of f(x) and the axis on the interval using a mid point Riemann sum is given by