Integration Bee Training for Advanced #4.4 - Trickier Manipulations with Inversions

[@anonkjvn]

omg don't stop these videos please

[@solardale7908]

Wolfram claims that the integral does not converge

[@Silver-cu5up]

oh no 0_0, which one?

[@solardale7908]

@@Silver-cu5up uh sorry that I didn't specify! timestamp 4:46, 2nd integral

[@Silver-cu5up]

It seems to work. www.wolframalpha.com/input?i=integrate+%28ln%28x%29ln%281%2Fx%29%2B1%29%2F%5B%28x%5E2%2B1%29%28ln%28x%29%2B1%29%5D+dx+from+0+to+inf

[@calcul8er205]

For the 2nd integral, ln(x)ln(1/x)+1=1-(lnx)^2 which cancels out nicely with the gross factor in the denominator using difference of two squares :))

[@Silver-cu5up]

oooooooooh, nice observation!!!

[@madhavanp.srivastava273]

Yes