Evaluate $\int \limits_0^ 1 x(1-x)^n dx$

Question

$\begin{array}{1 1} (A) I=\bigg(\large\frac{1}{n+1}-\frac{1}{n+2}\bigg) \\ (B) I=\bigg(\large\frac{1}{n-1}-\frac{1}{n-2}\bigg) \\ (C) I=\bigg(\large\frac{1}{n+2}-\frac{1}{n+1}\bigg) \\ (D) I=\bigg(\large\frac{1}{n+1}+\frac{1}{n+2}\bigg) \end{array}$