Hi I'm just getting back into education and I've been given some practice questions but this one kind on thrown me.

Ive been given the expression

v=12te^(t/2) +5 for velocity

I had work out what the velocity is at t= 4.5 s

i got 10.69m/s

Then I had to obtain an expression for acceleration and calculate the force acting on a body of 5kg at t = 4.5s so I used product rule and finally got an answer.

but the last part of the question again asks for an expression this time for displacement s of the body after t seconds, given that when t=0, s=0. Hence calculate the displacement of the body at time t=4.5 seconds

I was thinking definite intergrals but its been a while since I studied it so any ideas please?