Really nice insights! I like the way you motivated the steps and how you brought back everything to connect seamlessly at the end. All done in 8 minutes and some change. Well done! Thank you.
Nice use of symmetries to compute this integral. I would have naively parametrized the problem by replacing log(1+x) with log(1+ux), then derived with respect to u to obtain a rational form which can be integrated over x, and then integrate again over u between 0 and 1 (the integral is zero when u=0). Of course this would have taken more time and is less elegant.
Really nice insights! I like the way you motivated the steps and how you brought back everything to connect seamlessly at the end. All done in 8 minutes and some change. Well done! Thank you.
Thanks so much, I’m glad you enjoyed! It really is a rewarding one
J=I by King's rule if I'm not mistaken.
yup!
Nice use of symmetries to compute this integral. I would have naively parametrized the problem by replacing log(1+x) with log(1+ux), then derived with respect to u to obtain a rational form which can be integrated over x, and then integrate again over u between 0 and 1 (the integral is zero when u=0). Of course this would have taken more time and is less elegant.
I actually like this approach as well. If you take it further it can become elegant when recognizing that expression as an integral u.