A level integration help

I have tried to solve an integration question however have made a mistake somewhere but i can't find it.
Any help would be appreciated
picture of the question and working will be below

Original post by firestudent

Looks ok, as
ln(1/9) = -2ln(3)

Reply 3

firestudent

Original post by mqb2766

Looks ok, as
ln(1/9) = -2ln(3)

Ok i get it now, thanks for the help

Reply 4

mqb2766

Original post by firestudent

Ok i get it now, thanks for the help

You could have simplified it a bit similar to the hint so
u = 3x
and the limits become -1 to 1 and the integral is
1/3 Int 1 + 2/(u-2) - 2/(u+2) du
which saves a bit of heartache.

(edited 2 months ago)

Reply 5

π/2=Σk!/(2k+1)!!