- #1

karush

Gold Member

MHB

- 3,269

- 5

\textsf{Evaluate the double integral}$

\begin{align*}\displaystyle

I_a&=\iint\limits_{R} xy\sqrt{x^2+y^2} \, dA \\

R&=[0,2]\times[-1,1]

\end{align*}

Ok, just want to see if I made the first step correct.

this looks like simply a rectangle so x and y are basically interchangeable

\begin{align*}

&=\int_{-1}^{1} \int_{0}^{2} xy\sqrt{x^2+y^2} \,dx \,dy

\end{align*}

however the next step looks kinda daunting