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Thread: Double integral of xy dA over R, where R is bounded by y = sqrt[x], y = 6 - x, y = 0

  1. #1

    Double integral of xy dA over R, where R is bounded by y = sqrt[x], y = 6 - x, y = 0

    I'm trying to solve this for a while now.. but I can't find my mistake the answer suppose to be 50/3

    14.2 21 1.jpg
    14.2 21 2.jpg

  2. #2
    Elite Member
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    Your second integral limits change from [4,6] to [0,4].

    Notes:
    1) It is VERY DIFFICULT to see what you are doing. Your 'x' and your 'u' (if there is one) and your '4' all look thee same. Find a way to distinguish them. Maybe just write more slowly and carefully.
    2) As if it were not already sufficiently confusing, you started using 'x' to mean multiplication. The multiplication 'x' did have a slightly different appearance, but it doesn't help with clarity. Generally, don't do that.


    Challenge. Can you set it up by changing the order of integration? It takes only one integral!
    "Unique Answers Don't Care How You Find Them." - Many may have said it, but I hear it most from me.

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