Integral of ln(x+1)/(x^2+1) from 0 to 1, this integral was on the Putnam exam back in 2005. We will use a trig substitution and some integral properties to take care of this problem!
This integral is also called the Serret's Integral. Subscribe to @blackpenredpen for more fun math videos.
Check out Mu Prime's video on the integral of ln(x^2+1)/(x+1) from 0 to 1, https://youtu.be/Y6ZQMgk3A8s