August 5th, 2017, 04:29 AM  #1 
Member 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?

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 xyplane as 2x+ 2y= 2, the line from (1, 0) to (0, 1). That is y= 1 x. To cover the area bounded by the xaxis, the yaxis, and y= 1 x, take x from 0 to 1 and, for each x, y from 0 to 1 x. That would be $\displaystyle \int_0^1\int_0^{1 x} dy dx$. 

Tags 
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  aaronmath  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 