Solved

Can the result of a definite integral be negative?

Posted on 2011-03-07
3
604 Views
Last Modified: 2012-08-13
If I am integrating a definite integral, sometimes it is possible to end up with a negative value - but I thought a definite integral was an area, so what happens if my result is negative?
0
Comment
Question by:purplesoup
[X]
Welcome to Experts Exchange

Add your voice to the tech community where 5M+ people just like you are talking about what matters.

  • Help others & share knowledge
  • Earn cash & points
  • Learn & ask questions
3 Comments
 
LVL 6

Accepted Solution

by:
akajohn earned 250 total points
ID: 35055418
This link best explains this.

http://www.teacherschoice.com.au/Maths_Library/Calculus/area_under_a_curve.htm

As a summary areas under the x-axis are negative and above the x-axis are positive.

So integrating a function like y=x from -3 to 3 will yield zero because the negative areas exactly cancels the positive area.

Hope this hleps,

A>
0
 
LVL 18

Expert Comment

by:deighton
ID: 35055954
the area below the X axis is counted as negative.  Also you have probably integrated from say 1 to 3 where 1 is at the bottom and 3 is at the top, well if you switch 1 to the top and 3 to the bottom, the integral comes out as -1 x the first integral.
0
 
LVL 32

Assisted Solution

by:phoffric
phoffric earned 250 total points
ID: 35056274
You should find these EE questions of use:
    http://rdsrc.us/CWGwJg

    http://rdsrc.us/Ifx2A1

The area can even be zero:
    http://rdsrc.us/ka98W8

0

Featured Post

Free Tool: IP Lookup

Get more info about an IP address or domain name, such as organization, abuse contacts and geolocation.

One of a set of tools we are providing to everyone as a way of saying thank you for being a part of the community.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

Suggested Solutions

Title # Comments Views Activity
What C#.NET support is there for a rules engine? 4 50
Homework Help 5 130
Least Squares Curve Fitting 4 133
What is sqrt( (x+b/2a)^2) 35 93
A Guide to the PMT, FV, IPMT and PPMT Functions In MS Excel we have the PMT, FV, IPMT and PPMT functions, which do a fantastic job for interest rate calculations.  But what if you don't have Excel ? This article is for programmers looking to re…
Introduction On a scale of 1 to 10, how would you rate our Product? Many of us have answered that question time and time again. But only a few of us have had the pleasure of receiving a stack of the filled out surveys and being asked to do somethi…
Although Jacob Bernoulli (1654-1705) has been credited as the creator of "Binomial Distribution Table", Gottfried Leibniz (1646-1716) did his dissertation on the subject in 1666; Leibniz you may recall is the co-inventor of "Calculus" and beat Isaac…
Finds all prime numbers in a range requested and places them in a public primes() array. I've demostrated a template size of 30 (2 * 3 * 5) but larger templates can be built such 210  (2 * 3 * 5 * 7) or 2310  (2 * 3 * 5 * 7 * 11). The larger templa…

734 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question