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The value of the integral $\begin{align*}I = \int_0^1 x(1-x)^n dx \end{align*}$ is :


( A ) $\frac{1}{n+1} + \frac{1}{n+2}$
( B ) $\frac{1}{n+1}$
( C ) $\frac{1}{n+1} - \frac{1}{n+2}$
( D ) $\frac{1}{n+2}$

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