If f(t)= ( frac{1}{b}e^{at}sinh(bt) ), then its Laplace transform is?

• A. 1/s
• B. Indeterminate
• C. ( frac{b}{(s-a)^2-b^2} )
• D. (f(t)= frac{1}{(s-a)^2-b^2} )