My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum

Thanks Tree1Thanks
  • 1 Post By Country Boy
LinkBack Thread Tools Display Modes
August 5th, 2017, 04:29 AM   #1
Joined: May 2017
From: Slovenia

Posts: 89
Thanks: 0

Problem with integral bounds

Where P is the part of the plane 2x+2y+z=2 that lies in the first octant. I need to calculate this with Stoke's theorem. I know how to do it but in this case I'm not sure about the bound of the double integral. Any help?
Attached Images
File Type: png Capture.PNG (4.1 KB, 2 views)
sarajoveska is offline  
August 5th, 2017, 10:33 AM   #2
Math Team
Joined: Jan 2015
From: Alabama

Posts: 3,236
Thanks: 884

The plane 2x+ 2y+ z= 2 projects to the xy-plane as 2x+ 2y= 2, the line from (1, 0) to (0, 1). That is y= 1- x. To cover the area bounded by the x-axis, the y-axis, and y= 1- x, take x from 0 to 1 and, for each x, y from 0 to 1- x.

That would be $\displaystyle \int_0^1\int_0^{1- x} dy dx$.
Thanks from sarajoveska
Country Boy is offline  

  My Math Forum > College Math Forum > Calculus

bounds, integral, problem

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Double Integral bounds. IulianA Calculus 1 May 6th, 2014 01:10 PM
Help Finding the Bounds of a Triple Integral Beevo Calculus 2 December 2nd, 2012 09:20 AM
integral bounds aaron-math Calculus 6 June 23rd, 2012 09:58 PM
Bounds in triple integral mtl_math Calculus 2 December 3rd, 2011 07:12 AM
Bounds symmetry Algebra 1 May 10th, 2007 10:56 PM

Copyright © 2018 My Math Forum. All rights reserved.