# Integration (Velocity to Displacement or Position)

by kieran1black2
Tags: displacement, integration, position, velocity
 P: 47 This is the integration in LaTeX, if anyone else can't see it: $v = \frac{e^{\frac{t - 1205.525}{-100}}-142000}{30}$ $s = \int v dt$ $s = \int \frac{e^{\frac{t - 1205.525}{-100}}-142000}{30} dt$ Do you know how to integrate exponential functions? EDIT: I don't know what is up with the LaTeX, but there should be only one expression on each line. So ignore the bit after the second equals sign on the first line. And there shouldn't be an 's' after the fraction on the first line. No idea why it is doing this, there's nothing wrong with the code as I put it in.
 HW Helper P: 2,688 Integration (Velocity to Displacement or Position) First, I would sugest splitting the integral up into as many smaller integrals as possible. HINT:$$e^{a+b}=e^ae^b$$ Using this relationship, plus splitting the integral up, you should end up with two smaller, easier integrals of known forms.