I'm trying to find the integral of
using integration by partial fractions, but I keep getting stuck at
-4 (/int/ (1/2)/(e^x+1) + /int/ (5/2)/(e^x+5))
I'm not sure if I messed up on one of the intermediate steps. If not, how do I proceed from here to finish integrating?
Note: the answer is supposed to be -4x+2ln(1+e^x)+2ln(5+e^x), but I have no idea how to get there.
Any help would be appreciated, thank you!