The integralegral (\integral\_0^1x(1-x)^n dx) is equal to : | Mathematics | SolveeIt | Solveeit

Today, August 20

Question

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

A

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

B

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

C

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

D

$\frac{1}{(n-1)(n-2)}$

Answer

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

Explanation

Solution

The correct option is (B):

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