I usually don’t need to ask these any more, but I’m not seeing how one step proceeds to the next.
xln(2x+1) – x + 1/2ln(2x+1) + C
becomes, in the solutions manual:
1/2(2x+1)ln(2x+1) – x + C
Where did the x go? How is it that ln is only in front of one of the (2X+1) terms? How did it go from adding to multiplying? ln rule of lnx+lny = lnxlny, but why is there only an ln in front of one of the terms? What hte heck happened there? Thanks.