PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
Summation or sigma notation is a way to express a long sum into a single compact expression.
FINDING THE AREA UNDER THE CURVE OF A FUNCTION BY USING RECTANGLES
Given a continuous function that is defined over an interval [a,b], we can approximate or find the exact the area under the curve of f(x) by using Riemann sums. This can be done by evaluating a lower or upper Sum of areas of (rectangles that lie above or below the graph) of f(x).
Finally, find the exact area by evaluating:
STEPS: The process outlined here can be duplicated for any continuous function
i. Find the width of each rectangle
ii. Find the i-th subinterval xi = a + i*deltax
iii. evaluating a lower or upper Sum of areas of (rectangles that lie above or below the graph) of f(x).