Determine the Laplace Transform for each of the functions

a$)f(t)=\{\begin{array}{cc}2*t,& 0t1\\ t,& t>1\end{array}$

b$)f(t)=sinh(a*t)$

c$)f(t)=cosh(a*t)$

d$)f(t)={\displaystyle \underset{0}{\overset{t}{}}}(u^2-u+e^{-u})du$