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March 28, 2017

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Compute the average value of following fuction over the region R?

f(x,y)= sinxsiny
R= { (x,y): 0 ≤ x ≤pi, 0 ≤ y ≤pi}

  • Calculus 3 - ,

    The integral of sin(x)sin(y)dxdy over the region is... (it is easy, the integral factorizes into two one dimensional integrals.

    Then you must divide this integral by...(the integral is the average times... )

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