QUESTION $1$

Given the double integral ${\displaystyle \underset{-3}{\overset{1}{}}}{\displaystyle \underset{0}{\overset{\sqrt[\phantom{2}]{y+3}}{}}}(x^2+y)dxdy$

i$)$ Sketch the region of integration.

ii$)$ Evaluate the integral by reversing the order of integration.

$(9$ marks$)$

PLEASE REFER TO THE QUESTION BELOW IN THIS PAPER TO ANSWER THIS QUESTION