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March 26, 2017

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Evaluate ∬R xy dA, where R is the region bounded by x^2+y^2≤36, x≥0 and y≥0.

  • Calculus - ,

    ∫[0,6] ∫[0,√(36-x^2)] xy dy dx
    ∫[0,6] 1/2 xy^2 [0,√(36-x^2)] dx
    ∫[0,6] 1/2 x (36-x^2) dx
    9x^2 - 1/8 x^4 [0,6]
    162

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