Integration By Parts With Given Conditions

Let $w$ be a function with a continuous derivative. Given that $w(-2) = 5$, $w(1) = 11$, and $\displaystyle\int_{-2}^1 w(x)\,dx = 18$, what is the value of $\displaystyle\int_{-2}^1 x^2 w'(x)\,dx$?