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MathGroup Archive 2006

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Re: Please help carry out the integral

  • To: mathgroup at smc.vnet.net
  • Subject: [mg71739] Re: Please help carry out the integral
  • From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
  • Date: Tue, 28 Nov 2006 06:03:51 -0500 (EST)
  • Organization: The Open University, Milton Keynes, UK
  • References: <ekecgi$k9$1@smc.vnet.net>

aaronfude at gmail.com wrote:
> Hi,
> 
> I need to integrate the following expression in x from 0 to c, assuming
> all parameters are positive.
> 
> x*(-Log[Sqrt[d^2 + x^2] + x*Cos[\[Alpha]]] +  Log[a - (a*x)/c +
> x*Cos[\[Alpha]] + Sqrt[(a^2*(c - x)^2 + c^2*(d^2 + x^2) + 2*a*c*(c -
> x)*x*Cos[\[Alpha]])/c^2]])

f being your expression, the following line should be a good start:

Assuming[a > 0 && c > 0 && d > 0 && \[Alpha] > 0, Integrate[f, {x, 0, c}]]

Regards,
Jean-Marc


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