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**how do i integrate this??**

how do i integrate this function?

[tex]\int[/tex]dx/(e

^{x}-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/(e

^{x}-1)

^{0.5}

===>t=e

^{x}; dt=e

^{x}dx

[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

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