The value of the integral I= _ 0 ^ 1 x(1-x)^ n d x is:

Mathematics · JEE Main · NTA Exams — Integral Calculus

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

Answer

(B) 1 n+1 - 1 n+2

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