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Questions  >>  CBSE XII  >>  Math  >>  Integrals
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Evaluate $\int \limits_0^ 1 x(1-x)^n dx$

$\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} $

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