# Math Help - multiple integrals3

1. ## multiple integrals3

evaluate 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

2. ## Re: multiple integrals3

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