Double integral with absolute value of x-y

  • Thread starter Goalie_Ca
  • Start date
  • #1
102
0
int(int(abs(x-y)*6*x^2*y)) the range of x and y are 0,1. Normally i'd check to split it up and change the limits, but i think my brain is broken cuz i'm not seeing it at the moment.

simple question that i need to know how to do for stats without using maple :P
 

Answers and Replies

  • #2
Hurkyl
Staff Emeritus
Science Advisor
Gold Member
14,916
19
Well, try restating what you're trying to do. You're specifically interested in breaking things up based on |x - y|, so consider that all by itself... what are the pieces? How do you identify which piece a point is in?
 
  • #3
102
0
edit: I think i got it now. I plotted the abs function in 3d in maple. that helped.

Lol, why did i double it again? I should have just added both parts!!!!


Code:
> int(int(abs(x-y)*6*x^2*y,x=0..1),y=0..1);
* * * * * * * * * * * * * * * 1
* * * * * * * * * * * * * * * -
* * * * * * * * * * * * * * * 4
> int(int((x-y)*6*x^2*y,y=0..x),x=0..1);
* * * * * * * * * * * * * * * 1
* * * * * * * * * * * * * * * -
* * * * * * * * * * * * * * * 6
> int(int((y-x)*6*x^2*y,x=0..y),y=0..1);
* * * * * * * * * * * * * * * 1 
* * * * * * * * * * * * * * * --
* * * * * * * * * * * * * * * 12
 
Last edited:

Related Threads on Double integral with absolute value of x-y

Replies
4
Views
6K
Replies
2
Views
2K
Replies
1
Views
3K
  • Last Post
Replies
2
Views
2K
Replies
3
Views
2K
Replies
11
Views
859
  • Last Post
Replies
4
Views
19K
Replies
3
Views
5K
Replies
1
Views
4K
  • Last Post
Replies
3
Views
4K
Top