a special integral of ln(x)/(x+1)

[@headshotgaming6808]

What is Li2

[@الكِتابُوالسُنّة-ض2ج]

forget Li2 if you have ln(X+1) over x just multiple by 2 ( ln(x+1) power 2 over 2 )

[@alanaduarte_]

Hellooo thank you for your amazing videos also first again!

[@danksourav]

Amazing

[@wckewhbckea]

cool video

[@leonardobarrera2816]

100th like!!! ¿And what is Li2?

[@matteocilla9482]

dilogarithme bro

[@leonardobarrera2816]

@@matteocilla9482 thanks!!!

[@saharhaimyaccov4977]

But why not Taylor series in 1:30??...

[@hydropage2855]

You totally could. The logarithm integral is just a nice and compact notation to talk about that integral. You could expand a lot of non-elementary things with series, but using their formal references is the same effect really. In the end you can’t solve them

[@Ninja20704]

That poly-logarithm function answer comes from the taylor series. The definition is Li_s (x) = sum of x^n/n^s, n=1 to inf. So we can show the result that he used using taylor series.

[@animekid3947]

secondd!!!!!!!!!!!!!!!

[@wetwillyis_1881]

Can someone who is more well versed explain to me why we can get rid of the absolute value, please? I understand the concept of the absolute value, but I don’t understand why we can get rid of it, so simply.

[@prodromoskonstandas155]

becauce the original integral contains lnx which requires x>0 so x+1 is always positive and for positive numbers |x+1|=x+1

[@wetwillyis_1881]

@@prodromoskonstandas155 Thank you for the explanation.