simplifying a summation / integral

*To*: mathgroup at smc.vnet.net*Subject*: [mg64765] simplifying a summation / integral*From*: Patrik <hosanagar at gmail.com>*Date*: Thu, 2 Mar 2006 06:48:21 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

I need a simple closed form expression for: Sum [(qCr)*(x^r)/r] where qCr is q choose r, i.e., (q!/(r!(q-r)!) and r is summed from 1 to q Any thoughts? I know that the above expression is the same as Integral[((1+x)^q - 1)/x] So, it'd help if someone can help computing the integral instead. Thanks, Kartik