differentiate/integrate a function

*To*: mathgroup at smc.vnet.net*Subject*: [mg92496] differentiate/integrate a function*From*: RG <gobithaasan at gmail.com>*Date*: Wed, 1 Oct 2008 18:35:13 -0400 (EDT)

Hi, i have been trying to differentiate to following term: Blince[u_]=\!\( \*SubsuperscriptBox[\(\[Integral]\), \(0\), \(t\)]\( FractionBox[\(\((S - u)\) \[Kappa]0 + \((1 + r)\) u\ \[Kappa]1\), \(r\ u\ + \ S\)] \[DifferentialD]u\)\) M6 seem to give inappropriate answers...When i do the following: x[s_] = x0 + \!\( \*SubsuperscriptBox[\(\[Integral]\), \(0\), \(s\)]\(Cos[ \*FractionBox[\(r\ t\ \((\(-\[Kappa]0\) + \[Kappa]1 + r\ \[Kappa]1)\) + \((1 + r)\)\ S\ \((\[Kappa]0 - \[Kappa]1)\)\ \((\(-Log[S]\) + Log[S + r\ t])\)\), SuperscriptBox[\(r\), \(2\)]]] \[DifferentialD]t\)\) The answer seemed very complex not readable... pls help. i also need to find the first derivative to x[s] or x'[s] thank you in advance