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MathGroup Archive 2007

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Re: Improper Integral & Mathematica

  • To: mathgroup at smc.vnet.net
  • Subject: [mg80615] Re: Improper Integral & Mathematica
  • From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
  • Date: Sun, 26 Aug 2007 23:18:46 -0400 (EDT)
  • Organization: The Open University, Milton Keynes, UK
  • References: <faraa2$4k6$1@smc.vnet.net>

expizzaiolo at gmail.com wrote:

> how to solve:
> 
> Integrate[(e^x) / (1 + e^(2x)), {x, - Infinity, + Infinity }]
> 
> using Mathematica? I'm trying "e^x = t" but won't work...

Beware that Mathematica built-in functions and symbols start with a 
capital letter. For instance, pi is Pi, i (imaginary unit) is I, and e 
(base of the natural logarithm) is E. Therefore, your integral is

In[1]:= Integrate[E^x/(1 + E^(2*x)), {x, -Infinity, Infinity}]

Out[1]= \[Pi]/2

Regards,
-- 
Jean-Marc


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