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Topic: Compute integral
Replies: 7   Last Post: May 2, 2014 1:36 PM

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 quasi Posts: 11,770 Registered: 7/15/05
Re: Compute integral
Posted: May 2, 2014 6:56 AM

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

Date Subject Author
5/2/14 Jeremy Johnson
5/2/14 Math Lover
5/2/14 Roland Franzius
5/2/14 quasi
5/2/14 Jeremy Johnson
5/2/14 quasi
5/2/14 Peter Percival
5/2/14 Virgil