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Double integral absolute value.

  • Thread starter Kuma
  • Start date
  • #1
134
0

Homework Statement



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

http://imgur.com/1RL7e

1RL7e.png


Homework Equations





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?
 

Answers and Replies

  • #2
CompuChip
Science Advisor
Homework Helper
4,302
47
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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