Evaluate ∫∞0lnx1+x2 dx
I don't know where to start with this so either the full evaluation or any hints or pushes in the right direction would be appreciated. Thanks.
Answer
Hint
Write ∫∞0lnx(1+x2)dx=∫10lnx(1+x2)dx+∫∞1lnx(1+x2)dx For the second integral make a change of variable x=1y and see the beauty of the result.
I am sure that you can take from here.
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