Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Abs(x-y) dydx

  1. Jan 7, 2010 #1

    mnf

    User Avatar

    integrate:


    0101 abs(x-y) dydx
     
  2. jcsd
  3. Jan 7, 2010 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    Welcome to PF!

    Hi mnf! Welcome to PF! :smile:
    (no need to shout! :rolleyes:)

    Hint: split the integral into two regions, one with x > y, and one with x < y. :wink:
     
  4. Jan 7, 2010 #3

    mnf

    User Avatar

    Re: integrate

    I don't know how ,plz explain it
     
  5. Jan 7, 2010 #4

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    Instead of one integral, with limits 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1 (which is a square),

    split the square into two regions, one with x < y, and one with x > y,

    and then use two integrals, one for each region.
     
  6. Jan 7, 2010 #5

    mnf

    User Avatar

    Re: integrate

    i want to get answer in closed form
    because question is
    find B value

    B∫0101 abs(x-y) dydx =1
     
  7. Jan 7, 2010 #6

    CRGreathouse

    User Avatar
    Science Advisor
    Homework Helper

    Re: integrate

    If I didn't know better, I'd think you want us to solve it for you!
     
  8. Jan 8, 2010 #7

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Re: integrate

    If you honestly do not know what the absolute value of a number is, which is what you appear to be saying, you have no hope of doing this problem. Talk to your teacher about it!

    If you do know the absolute value function then you know that |x- y|= x- y as long as [itex]x\ge y[/itex] and |x-y|= y- x if x< y. The region [itex]0\le x\le 1[/itex], [itex]0\le y\le 1[/itex] is a square. [itex]x\ge y[/itex] below the diagonal from (0, 0) to (1, 1) and y> x above the diagonal. Integrate those two separately and add.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Abs(x-y) dydx
  1. Y^x = x^y (Replies: 3)

  2. Y^x = x^y (Replies: 20)

  3. (x^a)^b = x^(ab)? (Replies: 18)

Loading...