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Unread 20-05-2002, 14:17
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For the second integral, use u substitution:

/
|e^x
|-------------dx
|1+e^(2x)
/


/
|e^x dx
|--------------
|1+(e^x)^2
/

Now, let u = e^x
so du = e^x dx

Substituting, we have:

/
|1
|------------du
|1 + u^2
/


= arctan(u) + C

= arctan(e^x) + C
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