integral evaluation help

lethalasian

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Feb 14, 2020
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15
integral e^x / sqrt(1-e^(2x)) DX

The chapter I am on is strategies for integration.

Would I substitute e^x = U
and then go on to do (1-u^2) using trig substitution?
I am stuck on this question any help would be appreciated :)
 

pka

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Jan 29, 2005
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This is rather straightforward. We get \(\displaystyle\int {\frac{1}{{\sqrt {1 - {u^2}} }}du = \arctan (u)} \)
 

Jomo

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Dec 30, 2014
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You need to be complete. If u =e^x, then du =e^xdx.

This yields the integral posted by pka which is supposed to be known to you.
 
Last edited:

topsquark

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Aug 27, 2012
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920
You need to be complete. If u =e^x, then du =e^dx.

This yields the integral posted by pka which is supposed to be known to you.
aka \(\displaystyle du = e^x ~ dx\)

-Dan
 
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