I have found out the inverse laplace of $\log\frac{s+4}{s-4}$ which is $\frac{2 sinh(4t)}{t}$ But I do not know how to proceed. The multiplication by s property does not seem to hold good here as the denominator has t, which would imply f(0) would be 0/0 Any help is greatly appreciated.
EDIT: I think I have found the final answer ($4 [\frac{2t cosh(4t) - sinh(4t)}{t^2}]$, but need to verify it. Could anyone suggest any math calculator which gives answers to inverse laplace transform questions?