(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Finding the double integral of the following

[tex]\int\int xy / (x^2+y^2+1)^1/2 dA[/tex]

R = [(x,y): 0<=x<=1, 0<=y<=1]

2. Relevant equations

None

3. The attempt at a solution

ok I am having trouble integrating when I see the the quotient.

what I have done is,

[tex]\int\int xy(x^2+y^2+1)^-1/2 dy dx[/tex]

I can't remember the step taken to ingrate this.

I would add one to the exponent making it,

(2)xy(x^2+y^2+1)^1/2 <---but I am missing something else. I would need to integrate each y right?

so that would be

[tex]\int x(x^2+ (1/3)y^3 +1 ) ^1/2 dx[/tex]

and then I proceed integrating it again, this time for x... ???

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# Homework Help: Help finding double integrals

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