Posted by T.Gracken on November 08, 2002 at 18:27:29:
In Reply to: Troubled by an integral.. posted by Anonymous Coward on November 08, 2002 at 18:09:30:
: Okay, I'm supposed to determine whether the following infinite series is convergent or divergent with the integral test: n/(2^n)... However, I can't for the life of me remember how to integrate n/(2^n).. Can any of the wise math gurus out there offer any help?
use integration by parts.
let u = n (then du = dn)
let dv = 2-n (then v = -2-n/[ln(2)])
And... integral of (u*dv) = u*v - integral of (v*du)
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