# Math Help - Velocity, Displacement

1. ## Velocity, Displacement

I am stuck on this question, I'm supposed to integrate the velocity equation right? I got 6t^2 + C, is that right? I've attached the question as an image.

2. Originally Posted by Leitzge
I am stuck on this question, I'm supposed to integrate the velocity equation right? I got 6t^2 + C, is that right? I've attached the question as an image.
$v = e^{-2t} + 12t$

did you forget to integrate the first term of the velocity function?

3. I don't know... could you show me how you did that please?

4. Originally Posted by Leitzge
I don't know... could you show me how you did that please?
I didn't do anything ... I just pointed out the omission in your "solution".

Are you saying that you do not know how to find the antiderivative of $e^{-2t}$ ?

5. yeah

6. for $k$ a konstant ...

$\int e^{kt} \, dt = \frac{1}{k}e^{kt} + C$