Using Integration by Parts

LiveToDream

1. The problem statement, all variables and given/known data
indefinite integral dx/((e^x)(sqrt(1-e(-2x))))
using integration by parts evaluate the integral.

2. Relevant equations

integral u*dv = u*v- integral v*du

3. The attempt at a solution

To be completely and entirely honest i am not even sure where to start with this problem. I have finished other integration by parts homework questions in this assignment but this one i can't find something to choose for u and dv that will work out correctly. I have been at this problem alone from almost 2 hours. Any help would be greatly appreciated.

imranq

Are you sure it wasn't

[tex] \sqrt {1-e^{-2x}} [/tex]

instead of [tex] \sqrt {1-e(-2x)} [/tex], since that is a very strange way of writing it.

If so, just remember that [tex] \frac {1}{e^{x}} = e^{-x} = \sqrt {e^{-2x}} [/tex] and set [tex] u = e^{-2x} [/tex]

LiveToDream

It was supposed to be
1/ [tex] \sqrt {1-e^{-2x}} [/tex]

**How did you get that equation to show up that way? I just copy and pasted what you had to make it work this time and was curious how i would go about doing that.

imranq

There is a \frac command in LaTex. To use it just type \frac {numerator}{denominator}

So your problem would show up as:

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

**Also check out this guide to LaTex typesetting
http://www.physicsforums.com/misc/howtolatex.pdf

LiveToDream

Thank You for your help. It is really appreciated.

HallsofIvy

If nothing else there is a "^" key on your computer that can be used to indicate exponents.