# How do i integrate this?

1. Apr 12, 2009

### Dell

how do i integrate this??

how do i integrate this function?

$$\int$$dx/(ex-1)0.5

i have tried all the methods i know and havent cracked it, the best try i have had so far is

$$\int$$dx/(ex-1)0.5

===>t=ex; dt=exdx

$$\int$$dt/t*($$\sqrt{t-1}$$)

now from here i tried integration in parts and got really complicated

u=1/$$\sqrt{t-1}$$
du=-dt/2(t-1)1.5

dv=dt/t
v=ln(t)

=$$\int$$dt/t*$$\sqrt{t-1}$$=ln(t)/$$\sqrt{t-1}$$-$$\int$$-ln(t)dt/2(t-1)1.5

how else can i solve this

Last edited: Apr 12, 2009
2. Apr 12, 2009

### Tomboland

Re: how do i integrate this??

http://integrals.wolfram.com/index.jsp?expr=(e^x-1)^-0.5&random=false

Integrals are hard

3. Apr 12, 2009

### daudaudaudau

Re: how do i integrate this??

Use the substitution t=sqrt(exp(x)-1) => x=ln(t^2+1)

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