# Summation(sigma) notation and Riemann Sums

Subject
Resource Type
Product Rating
File Type

PDF (Acrobat) Document File

464 KB|10 pages
Share
Product Description

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).

Total Pages
10 pages
N/A
Teaching Duration
2 days
Report this Resource
\$5.99
More products from STEM Creations

Teachers Pay Teachers is an online marketplace where teachers buy and sell original educational materials.