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



quasi
Posts:
12,067
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



