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Re: calculate the area

  • To: mathgroup at smc.vnet.net
  • Subject: [mg112667] Re: calculate the area
  • From: "Sjoerd C. de Vries" <sjoerd.c.devries at gmail.com>
  • Date: Sat, 25 Sep 2010 02:21:19 -0400 (EDT)
  • References: <i7hmlq$i4q$1@smc.vnet.net>

I assume you don't have Mathematica? This is too easy...

In[188]:= Solve[y/(1 - y) == c*x/(1 - x), y]

Out[188]= {{y -> (c x)/(1 - x + c x)}}

In[189]:= Integrate[(c x)/(1 - x + c x), x]

Out[189]= c (x/(-1 + c) - Log[1 - x + c x]/(-1 + c)^2)

Obviously, 1 - x + c x and x-1 shouldn't be zero

Cheers -- Sjoerd

On Sep 24, 10:14 am, Steven <stevenwang.... at gmail.com> wrote:
> Hi All,
>
> I need to calculate the area for the following curve:
>
> y/(1-y)=c*x/(1-x)
>
> Can any one help me to get a formula? Thanks!
>
> Steven



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