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adm_strat
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[SOLVED] Absolute Value in a double integral
If [tex]\Omega[/tex] = [-1,1] x [0,2], evaluate the double integral [tex]\int\int_{\Omega} \sqrt{|y-x^{2}|} dA[/tex] given that it exists.
None
I know that in order to integrate with the absolute value I have to split the integral into two parts: When [tex]x^{2} > y ---> \sqrt{x^{2}-y} [/tex] and [tex]y > x^{2} ---> \sqrt{y-x^{2}} [/tex]
I just can't get of the limits of the integral. Anyone have any advice on where to start or how to look at it to discover the limits? TIA
Homework Statement
If [tex]\Omega[/tex] = [-1,1] x [0,2], evaluate the double integral [tex]\int\int_{\Omega} \sqrt{|y-x^{2}|} dA[/tex] given that it exists.
Homework Equations
None
The Attempt at a Solution
I know that in order to integrate with the absolute value I have to split the integral into two parts: When [tex]x^{2} > y ---> \sqrt{x^{2}-y} [/tex] and [tex]y > x^{2} ---> \sqrt{y-x^{2}} [/tex]
I just can't get of the limits of the integral. Anyone have any advice on where to start or how to look at it to discover the limits? TIA