Answer
18
Work Step by Step
Integrate with respect to dx first:
$\int[xy-y^2sinx]dy$ with x limits from 0 to π/2
$=\int(π/2\times y+y^2)dy$
Integrate with respect to dy:
$π/4\times y^2+1/3\times y^3$ with y limits from -3 to 3
$=9π/4+9-(9π/4-9)=18$
