Non-Elementary Integration · Easy problem

Using $B(a,b)=\displaystyle\int_0^1 x^{a-1}(1-x)^{b-1}\,dx=\dfrac{(a-1)!\,(b-1)!}{(a+b-1)!}$ for positive integers $a,b$, evaluate $\displaystyle\int_0^1 x^5(1-x)^2\,dx$.