||'''Book'''|| Advanced Engineering Mathematics ||
 ||'''Author'''|| Erwin Kreyszig ||
 ||'''Edition'''|| 8th Edition ||

/* code_begins */

{{{
s = var("s")
t = var("t")
f1 = exp((-s)*t)*(t)
f2 = exp((-s)*t)*(1)  #since laplace transform is an integral from 0 to infinity our and our function # is zero for t > 2
F = f1.integrate(t, 0, 1) + f2.integrate(t, 1, 2)
F.simplify_full()
show(F)
}}}

/* code_ends */

 * '''Solution by''': 
Saurabh Agrawal, Student, IIT Roorkee
Arnab Basu, Student, IIT Roorkee
Rachit Jha, Student, IIT Roorkee