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Double integral absolute value.

  1. Nov 27, 2011 #1
    1. The problem statement, all variables and given/known data

    I just need to know if what i did is correct. The question is as follows:

    http://imgur.com/1RL7e

    1RL7e.png

    2. Relevant equations



    3. The attempt at a solution

    What I did is as follows:

    I split this integral into two parts and solved.


    [integral from 0 to 1 [integral from x to -2x (e^(x+y)) dy] dx] +
    [integral from -1 to 0 [integral from -x to 2x (e^(x+y)) dy] dx]


    The way of thinking about it is that y goes from x to -2x when x goes from 0 to 1 and -x to 2x when x goes from -1 to 0.

    Is that right?
     
  2. jcsd
  3. Nov 27, 2011 #2

    CompuChip

    User Avatar
    Science Advisor
    Homework Helper

    Yep, the idea is good, just check which boundary is the upper and which is the lower one.
    For example, if 0 < x < 1, then -2|x| = -2x < 0 and |x| = x > 0.
     
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