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spanishmaths
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Homework Statement
Im getting very confused with working out how to integrate the following double integral with an absolute value:
[tex]\int^{2}_{-2}\int^{2}_{-2}\left|x^{2}+y^{2}-1\right|dxdy[/tex]
Homework Equations
The Attempt at a Solution
I know you have to split it down into where it is positive and negative, so when evaluating the inside one (ie with respect to x), we would have three sections, between -2 and 1 , between -1 and 1 (here we would multiply the function by -1) and then between 1 and 2.
This should give a function of y , which we would then integrate with respect to y and evaluate at exactly the same limits.
Is this correct? I have done it and it gives a very funny looking answer, so I thought I'd check here.
Thanks in advance.