I've got an integration problem which my teachers can't solve and are telling me to ignore. However, I'd really like to figure out how to solve it so any help will be much appreciated.

Given that In = INT [between 0 to 1] 1/[(1+x^2)^2] dx, show that, for n>/=2,

2(n-1)In = 2^(1-n) + (2n-3)In-1

Thanks.