I am trying to integrate the following
Integral of x*n!/x!(n-x)! *p^(x)*(1-p)^(n-x)dx limits being (x=0,n)
I applied the rule of integration by parts as follows -
Let u = x & dv = n!/x!(n-x)!*p^(x)*(1-p)^(n-x)dx
V= integral n!/x!(n-x!)*p^(x)*(1-p)^(n-x)dx
I am unable to proceed beyond this point. Can somebody help me here? What would be the final solution for this if we apply limits (0,n)?