For the integral

${\displaystyle \underset{-3}{\overset{0}{}}}{\displaystyle \underset{-\sqrt[\phantom{2}]{25-x^2}}{\overset{0}{}}}3xydydx$

sketch the region of integration and evaluate the integral.

Your sketch should be approximately the same as one of the graphs shown below; which is the correct region? Graph

Then ${\displaystyle \underset{-3}{\overset{0}{}}}{\displaystyle \underset{-\sqrt[\phantom{2}]{25-x^2}}{\overset{0}{}}}3xydydx=$

$$

Graphs: