The value of the integral $I = \int\limits_0^1 {x{{\left( {1 - x} \right)}^n}dx} $ is

Question

${1 \over {n + 1}} + {1 \over {n + 2}}$

${1 \over {n + 1}}$

${1 \over {n + 2}}$

${1 \over {n + 1}} - {1 \over {n + 2}}$

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