s = var("s")
t = var("t")
a = var("a")
b = var("b")
f = exp((-s)*t)*((b*(t-a))/a)  #since laplace transform is an integral from 0 to infinity our and our function # is zero for t > 2
while a>0:
    F = f.integrate(t, 0, a)
show(F)

Saurabh Agrawal, Student, IIT Roorkee Arnab Basu, Student, IIT Roorkee Rachit Jha, Student, IIT Roorkee