Homework Statement
Take the Inverse Laplace Transform of F(s) where
F(s)=((s)(tan-1(1/s)))
Homework Equations
The Attempt at a Solution
i know that f(t)=L-1(F(s))=(-1/t)L-1(F'(s))
and d/ds(1/tan-1(x))=1/x^2 +1
but the example I'm given with an inverse laplace of tan-1 is way...