Set up an integral for finding the laplace transform of f(t)=t−6. f(s)=l{f(t)}=∫ba e^(-s*t)(t-6)dt equation editorequation editor (formulas) where a= 0 equation editorequation editor and b= inf equation editorequation editor . find the antiderivative (with constant term 0) corresponding to the previous part. equation editorequation editor evaluate appropriate limits to compute the laplace transform of f(t): f(s)=l{f(t)}= equation editorequation editor where does the laplace transform you found exist? in other words, what is the domain of f(s)? equation editorequation editor (inequalities)