Double integral ∫∫D xydxdy where D={(x, y); 0≤x≤1, 0≤y≤1, xy≤1/2}

[Raelius]

Double integral ∫∫D xydxdy where D={(x, y); 0≤x≤1, 0≤y≤1, xy≤1/2}

Hi,

I have the following problem:
"Evaluate the double integral ∫∫_D xydxdy [FONT=MathJax_Math]where D={(x, y); 0≤x≤1, 0≤y≤1, xy≤1/2} in the real plane."

Could somebody show me how to solve this step by step?

Thanks.
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[Deleted member 4993]

Hi,

I have the following problem:
"Evaluate the double integral ∫∫_D xydxdy [FONT=MathJax_Math]where D={(x, y); 0≤x≤1, 0≤y≤1, xy≤1/2} in the real plane."

Could somebody show me how to solve this step by step?

Thanks.
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1) sketch the region establish the limit

2) establish the limits of integration

3) show your work.....