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Math Help - multiple integrals3

  1. #1
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    multiple integrals3

    evaluate multiple integrals3-codecogseqn-8-.gif by changing the order of integration

    it can be solved by slicing through the x plane

    but how to solve by slicing it through the y plane please help

    note:i think two regions will be obtained by slicing
    but not sure
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: multiple integrals3

    The given domain is D=D_1\cup D_2 where: D_1\equiv \left \{ \begin{matrix}0\leq y\leq 1\\0\leq x\leq\sqrt{y}\end{matrix}\right. \;,\quad D_2\equiv \left \{ \begin{matrix}1\leq y\leq 2\\0\leq x\leq 2-y\end{matrix}\right.
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