JEE Math Practice Question
The value of the integral $$I = \int\limits_0^1 {x{{\left( {1 - x} \right)}^n}dx} $$ is
- A.$${1 \over {n + 1}} + {1 \over {n + 2}}$$
- B.$${1 \over {n + 1}}$$
- C.$${1 \over {n + 2}}$$
- D.$${1 \over {n + 1}} - {1 \over {n + 2}}$$
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