integral from 0 to 1 of ln(x)/(x+1) dx

[@slavinojunepri7648]

Good stuff! Thanks for sharing.

[@Billts]

Αυτά στο πανεπιστήμιο διδάσκονται;

[@user-zg8ny5tp4g]

How can I understand that when you express the (1 over x+1) to sum ??

[@mathemagicalpi]

If you recall the definition of a geometric series, sum from n=0 to infinity of ar^n =a/(1-r) provided r is in the open interval from (-1,1) , notice when a=1 and r=-x and using the formula you do indeed get 1/(1+x). Hope this makes more sense now.

[@user-zg8ny5tp4g]

@@mathemagicalpi I get it. Thank you so much

[@abhinavrawat6632]

I want tricks for integrals

[@mathemagicalpi]

Which tricks do you have in mind

[@chrisjuravich3398]

@@mathemagicalpi I don’t regard these as “tricks;” rather, they are techniques that need to be learned one at a time.