Monday, 24 December 2012

calculus - Evaluate inti0nftyfraclnx1+x2dx



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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