Inverse Laplace Transformation of Inverse Tan function

**annamation** · Nov3-09, 01:28 AM

1. The problem statement, all variables and given/known data

Take the Inverse Laplace Transform of F(s) where
F(s)=((s)(tan-1(1/s)))

2. Relevant equations

3. 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 prettier than this problem. hint?

**foxjwill** · Nov3-09, 04:35 PM

Well, the first thing to note is that

$LaTeX Code: \\tan^{-1}\\left(\\frac{1}{s}\\right)=\\cot^{-1}{(s)}.$

Do you know the convolution theorem?

Also, if you're not going to use latex, please use the "sup" and "sub" buttons (they're the buttons that look like $LaTeX Code: \\text{X}^2$ and $LaTeX Code: \\text{X}_2$ ). And make sure you use parentheses for the denominators of fractions. That said, I highly recommend you learn at least some basic latex. It's not very difficult.