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How do i integrate this?

  • Thread starter Dell
  • Start date
  • #1
590
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how do i integrate this??

how do i integrate this function?

[tex]\int[/tex]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

[tex]\int[/tex]dx/(ex-1)0.5

===>t=ex; dt=exdx

[tex]\int[/tex]dt/t*([tex]\sqrt{t-1}[/tex])

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

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

dv=dt/t
v=ln(t)

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

how else can i solve this
 
Last edited:

Answers and Replies

  • #2
6
0


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

Integrals are hard
 
  • #3
302
0


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

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