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Integration (e)

  • Thread starter physnoob
  • Start date
  • #1
15
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Homework Statement


[tex]\int dx/(e^{x}\sqrt{1-e^{-2x}}) [/tex]

Homework Equations





The Attempt at a Solution


I have absolutely no idea of how to start the problem, any help is greatly appreciated!
thanks!

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
31
Try a substitution of maybe u=e-x. Then you should get it into a form where the anti-derivative should be easily found.
 
  • #3
33,496
5,188
Also, note that 1/ex = e-x.
 
  • #4
15
0
hmm, can i get a little more hint? if i do a u sub. of u = e[tex]^{-x}[/tex], how do i get rid of
e[tex]^{-2x}[/tex]? I have tried do a u sub. of u = [tex]\sqrt{1-e^{-2x}}[/tex], but i ended up getting the [tex]\int du/e^{-x}[/tex], which i dont know how to proceed after this. What am i doing wrong?
 
  • #5
rock.freak667
Homework Helper
6,230
31
e-2x=(e-x)2, so in terms of u it is?
 
  • #6
33,496
5,188
Doesn't e-x*e-x = e-2x?
 
  • #7
15
0
o boy, that was embarrassing lol
just want to make sure, is the answer cos[tex]^{-1}[/tex](e[tex]^{-x}[/tex]) + C?
 
  • #8
rock.freak667
Homework Helper
6,230
31
That should be correct.

I think -sin-1(e-x)+C should work as well.
 

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