Integral of a sigmoid equation: y= L / (1+EXP-(k(x-c)))

[glenh]

Can somebody please tell me what is the integral d(x) of the following sigmoid curve.


y= L / (1+EXP-(k(x-c)))

 

[Deleted member 4993]

Can somebody please tell me what is the integral d(x) of the following sigmoid curve.


y= L / (1+EXP-(k(x-c)))

I would try substitution:

u = EXP^[-(k(x-c)]

du = ?

Continue...

 

[glenh]

Answer ?

Does anybody know the answer to my problem please ???

 

[stapel]

Does anybody know the answer to my problem please ???

Are you not able to see the reply that was provided to you a few weeks ago? That post said the following:

I would try substitution:

u = EXP^[-(k(x-c)]

du = ?

Continue...

Please reply with your working and results. Thank you!

 

[Steven G]

Does anybody know the answer to my problem please ???

Yes, many people know the answer. The issue is that we do not do problems for students. Instead we help them. You were asked to make a substitution. Did you try? I'll assume that you not know how to do that so I'll help you along.

If u = e^(rx),, then du = re^(rx). Not that e^(rx+s) = e^s*e^rx, where, r and s are constants. If u= e^(rx+s), do you know what du equals? To find du you do NOT have to use the fact that e^(rx+s) = e^s*e^rx, but you can if you prefer.