Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
2006
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*December
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2006

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: find area bounded by three linear functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg68372] Re: find area bounded by three linear functions
  • From: Peter Pein <petsie at dordos.net>
  • Date: Thu, 3 Aug 2006 06:06:30 -0400 (EDT)
  • References: <eaprqf$s4d$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

T Harris schrieb:
> How can I get Mathematica to find the area of the region bounded by all 
> three of the following linear functions?  I have tried searching and can't 
> find it.  What do I search for to find the commands to accomplish this?  I 
> calculated by hand and come up with about 3.1623 sq. units for area above 
> the x-axis and 8.8378 sq. units below it.  The total area for the scalene 
> triangle formed is 12 square units by my calculations using Heron's formula.
> 
> X=3Y;  X+Y=0;   7X + 3Y =24
> 
> Thanks,
> 
> T Harris 
> 

Hello,

use Boole[]:

Integrate[Boole[x >= 3*y && x + y >= 0 && 7*x + 3*y <= 24],
   {x, -Infinity, Infinity}, {y, -Infinity, Infinity}]

--> 12


Peter


  • Prev by Date: Re: Zero times a variable in numerical calculations
  • Next by Date: Re: MeanTest Function not Working
  • Previous by thread: Re: find area bounded by three linear functions
  • Next by thread: Re: find area bounded by three linear functions