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Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Integral Calculus
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Integrate $\int \limits_0^1 x(1-x)^n dx. n \in N$

\[\begin {array} {1 1} (a)\;\frac{1}{n}-\frac{1}{n+1} \\ (b)\;\frac{1}{n+1}-\frac{1}{n+2} \\ (c)\;\frac{1}{n+2}-\frac{1}{n+3} \\ (d)\;None \end {array}\]

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