integral over a finite sum with unknown upper limit
Subject: integral over a finite sum with unknown upper limit
From: Jaime E. Villate
Date: Fri, 30 Jun 2006 13:36:03 +0100
On Fri, 2006-06-30 at 11:56 +0200, i_inbox at tn-home.de wrote:
> I would like to get
>
> sum( q[k]/(k+1), k, 1, n )
>
> out of the input
>
> integrate( sum( q[k]*u[k](s), k, 1, n ), s, 0, 1)
why not
(%i7) sum( integrate(q[k]*s^k, s,0,1), k, 1, n );
(%o7) 'sum(q[k]/(k+1),k,1,n)
?
Jaime