# Caculating integral with binomial coefficient

1. Sep 28, 2010

### cielo

1. The problem statement, all variables and given/known data

2. Relevant equations
What is the integral of

$$\int^{0}_{1} nCy x^{y} (1-x)^{n-y} dx$$ ?

3. The attempt at a solution
$$\left(nCy\right)$$ $$\int^{0}_{1} x^{y} (1-x)^{n-y} dx$$

2. Sep 28, 2010

### Dick

Re: integral

It looks like a beta function to me.

3. Sep 29, 2010

### cielo

Re: integral

Thank you for your good idea Dick! =)