Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2006-04-05 04:19:01

alternat
Member
Registered: 2006-04-05
Posts: 1

Complicated integration

I need to integrate this;

fX (x) = e^xt [e^((x−a)/b)]/b[1 + e^((x−a)/b)]^2, for − ∞ < x < ∞,
where the parameters a and b satisfy −∞ < a < ∞ and b > 0

in order to get a function in terms of t.

If it makes things easier, [e^((x−a)/b)]/b[1 + e^((x−a)/b)]^2 integrates to -1/(e^(x-a/b))+1. I tried integration by parts, and then tried to integrate the second part of the answer, but everything cancelled out...sigh. Help me out, guys!

Offline

#2 2006-04-05 14:01:38

George,Y
Member
Registered: 2006-03-12
Posts: 1,306

Re: Complicated integration

difficult, lol

Last edited by George,Y (2006-04-05 14:34:18)


X'(y-Xβ)=0

Offline

#3 2006-04-05 16:18:40

George,Y
Member
Registered: 2006-03-12
Posts: 1,306

Re: Complicated integration

is a hyperfunction, which cannot have an explicit expression

Last edited by George,Y (2006-04-05 22:40:47)


X'(y-Xβ)=0

Offline

Board footer

Powered by FluxBB