I have a question regarding the Laplace transforms.
Suppose $F(s)=L$ {$f(t)$}. Can we calculate a definite integral like $\int_{a}^{b}f(t)dt$ by an integratin (or any operation) on $F(s)$ in the s-domain? I know the answer for the special case $\int_{0}^{t}f(t)dt=L^{-1}${$\frac{F(s)}{s}$}. But, I want $a$ and $b$ to be arbitrary constants. Parseval's theorem is also useless for this problem.
Thank you!