i tried this and really have no idea how to approach this particular question:

apparently, i have to first substitute e^x=u and therefore du=e^xdx which gives du/u=dx but when i replace these values, i find that A/(u+2) + B/(u+3)du/u...From there, i find that A=-2 and B=-15 but when i substitute these values, i find (-2ln(e^x+2)-15ln(e^x+3))/e^x. The final answer is supposed to be: -6x+ln(2+e^x)+5ln(3+e^x). Where am i going wrong?

Thanks.