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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