SOLUTION: From a Putnam competition: Evaluate the integral {{{int(ln(x+1)/(x^2+1), dx, 0,1)}}}.

SOLUTION: From a Putnam competition: Evaluate the integral {{{int(ln(x+1)/(x^2+1), dx, 0,1)}}}.

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Question 1033411: From a Putnam competition:
Evaluate the integral .
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Since ,
.
Let . ==> tanw = x. Now if x = 0, w = 0, and when x = 1, .
==> .
Now
=
=
=.
But by using the substitution on the left integral.
Hence
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