# multiple integrals3

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• Nov 22nd 2012, 09:20 PM
prasum
multiple integrals3
evaluate Attachment 25855 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
• Nov 22nd 2012, 10:29 PM
FernandoRevilla
Re: multiple integrals3
The given domain is $D=D_1\cup D_2$ where: $D_1\equiv \left \{ \begin{matrix}0\leq y\leq 1\\0\leq x\leq\sqrt{y}\end{matrix}\right. \;,\quad D_2\equiv \left \{ \begin{matrix}1\leq y\leq 2\\0\leq x\leq 2-y\end{matrix}\right.$