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