First let me define the Fourier Transform of f to be

$\displaystyle \mathcal{F}_x[f](\lambda) = \int_{-\infty}^{+\infty}\! f(x) e^{ix\lambda}\,dx$

I am trying to transform $\displaystyle x^2\cdot sin(x)$, but I haven't a clue where to begin here. I am sure that I am just not seeing some trick. Thanks in advance.