Q: $\displaystyle f(x) \equiv \frac{1}{(x+2)(x^2+4)}$. Express $\displaystyle f(x)$ in partial fractions.

Show that $\displaystyle \displaystyle\int^2_0 f(x) \, \mathrm{d}x = \frac{(\pi + 2 \ln 2)}{32}$

I can't seem to get the partial fraction right. If possibe, can someone help me with this question for me. Thanks. .