The value of the integral I = ∫₀¹ x (1 - x)ⁿ dx is

Integral Calculus: JEE Main 2003 Mathematics question

JEE Main 2003 · Annual, Paper 1 · Q3330

JEE Main 2003Annual, Paper 1MathematicsEasyIntegral Calculus369× since 2002

The value of the integral

I = \int\limits_0^1 {x{{\left( {1 - x} \right)}^n}dx}

JEE Main 2003 · Annual, Paper 1 · Q3330

JEE Main 2003Annual, Paper 1MathematicsEasyIntegral Calculus369× since 2002

The value of the integral

I = \int\limits_0^1 {x{{\left( {1 - x} \right)}^n}dx}