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Re: integrate problem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg98865] Re: [mg98837] integrate problem
  • From: Lou Talman <talmanl at mscd.edu>
  • Date: Mon, 20 Apr 2009 19:10:28 -0400 (EDT)
  • References: <200904200939.FAA12325@smc.vnet.net>

On Apr 20, 2009, at 3:39 AM, sean_incali at yahoo.com wrote:

> But the following gives the integral itself.
>
> Integrate[1/(s[t] + a), t]


As it should.  This isn't a problem with Mathematica---it's a problem  
with your understanding of integration.

>
>
> If the function that needs to be integrated w.r.t time is 1/(s[t] +
> a), how do I accomplish that?

You don't.  At least, you don't without knowing the function s[t].   
For example, if s[t] = t, the integral is Log[t + a], while if s[t] =  
t^2, the integral is Arctan[t/Sqrt[a]]/Sqrt[a].

--Louis A. Talman
   Department of Mathematical & Computer Sciences
   Metropolitan State College of Denver

   <http://clem.mscd.edu/%7Etalmanl>


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