Date: May 2, 2014 6:56 AM
Author: quasi
Subject: Re: Compute integral
cootercrew wrote:

>cootercrew wrote:

>>

>>Compute the integral from 0 to 1 of ln(1+x)/(1+x^2)dx.

>>Hint: Use the substitution y+1=2/(x+1)

>>

>> ...

>>

>>Any help is appreciated! Thanks! This is just a practice

>>problem for a final and not something I have to turn in.

>

>I haven't looked through all the comments closely yet but

>to clear things up I did mean the integral of

>

> ln(1+x)

> ------

> (1+x^2)

Ah, in that case, the given hint makes sense.

>Also, this is a practice problem for a Real Analysis II class.

>I wish I as still in Calc II.

The plan outlined by Roland Franzius (essentially following

the given hint) works very well, yielding an answer of

(Pi/8)*ln(2).

quasi