Question:

The integral \(\int_0^1x(1-x)^n dx\) is equal to :

Updated On: May 21, 2024

\(\frac{1}{(n+2)(n+3)}\)
\(\frac{1}{(n+1)(n+2)}\)
\(\frac{1}{n(n+1)}\)
\(\frac{1}{(n-1)(n-2)}\)

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The Correct Option is B

Solution and Explanation

The correct option is (B):

\(\frac{1}{(n+1)(n+2)}\)

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