Summation(sigma) notation and Riemann Sums

Summation(sigma) notation and Riemann Sums
Summation(sigma) notation and Riemann Sums
Summation(sigma) notation and Riemann Sums
Summation(sigma) notation and Riemann Sums
Summation(sigma) notation and Riemann Sums
Summation(sigma) notation and Riemann Sums
Summation(sigma) notation and Riemann Sums
Summation(sigma) notation and Riemann Sums
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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
Answer Key
N/A
Teaching Duration
2 days
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