Caculating integral with binomial coefficient

[cielo]

Homework Statement

Homework Equations

What is the integral of

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

The Attempt at a Solution

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

 

[Dick]

It looks like a beta function to me.

 

[cielo]

It looks like a beta function to me.

Thank you for your good idea Dick! =)