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Re: Help for solving this Integrate[Sqrt[t*(1-t)* (t-z),{t,0,z} ] NEW!!!!

  • To: mathgroup at smc.vnet.net
  • Subject: [mg112820] Re: Help for solving this Integrate[Sqrt[t*(1-t)* (t-z),{t,0,z} ] NEW!!!!
  • From: Peter Breitfeld <phbrf at t-online.de>
  • Date: Sat, 2 Oct 2010 05:43:33 -0400 (EDT)
  • References: <i84acn$guf$1@smc.vnet.net>

Hugo wrote:

> Could any body help me to solve the following integral in
> mathematica?
>
> Integrate[sqrt[t * (1-z)*(t-z),{t,0,z}];  t and z are reals; z>0
>
> I did make a mistake posting the wrong equation yesterday, I apologize
> for that.
>
> Any help would be appreciate,
>
> Hugo
>

Maybe I misunderstand something, but I get

In[25]:= Integrate[Sqrt[t*(1 - z)*(t - z)], {t, 0, z}, 
 Assumptions -> {z > 0}]

Out[25]= 1/8 \[Pi] Sqrt[-1 + z] z^2

-- 
_________________________________________________________________
Peter Breitfeld, Bad Saulgau, Germany -- http://www.pBreitfeld.de


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