1. Oct 9, 2013 #1

   abubakar_mcs

   

   Hi! Need help in solving this double integral:
   
   1 1
   ∫ ∫ |x-y| dydx
   0 0
   
   
   Thanks in anticipation.
   
   Regards,
   Aby.

    

   abubakar_mcs, Oct 9, 2013
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3. Oct 9, 2013 #2

   pasmith

   

   Homework Helper

   [tex]
   \int_0^1 |x - y|\,dy = \int_0^x |x - y|\,dy + \int_x^1 |x - y| \,dy
   [/tex]

    

   pasmith, Oct 9, 2013
4. Oct 9, 2013 #3

   mathman

   

   Science Advisor

   Change |x-y| to x-y for y < x. Change |x-y| to y-x for y > x.
   You now have two double integrals which you can do easily (y integral inner for both).

    

   Last edited: Oct 9, 2013

   mathman, Oct 9, 2013
5. Oct 9, 2013 #4

   abubakar_mcs

   

   Thanks mathman, but how to write the new expression i.e. how to change the limits of the integral...??? Is the one I wrote below right??
   
   11 11
   ∫∫ (x-y) dydx + ∫∫ (y-x) dydx
   00 00

    

   abubakar_mcs, Oct 9, 2013
6. Oct 9, 2013 #5

   arildno

   

   Science Advisor

   Homework Helper

   Gold Member

   Dearly Missed

   Split the y-interval into 0 to x, and x to 1, as pasmith showed

    

   arildno, Oct 9, 2013

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