Double integral estimation

viddywell

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Feb 27, 2016
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The figure below shows level curves of a function f(x,y). Let the square R=[0,4]x[0,4]. Estimate the value of
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with the Midpoint rule and m=n=2. (Be careful to notice what R is defined to be!)

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I took f(1,1), f(1,3), f(3,1), and f(3,3), added them and multiplied by 4...... I got 360 which is apparently incorrect

Thoughts? Any help would be greatly appreciated
 

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