# multiple integrals3

• November 22nd 2012, 08:20 PM
prasum
multiple integrals3
evaluate Attachment 25855 by changing the order of integration

it can be solved by slicing through the x plane

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