# Velocity, Displacement

• Mar 17th 2010, 09:54 AM
Leitzge
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.
• Mar 17th 2010, 10:13 AM
skeeter
Quote:

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.

$\displaystyle v = e^{-2t} + 12t$

did you forget to integrate the first term of the velocity function?
• Mar 17th 2010, 11:01 AM
Leitzge
I don't know... could you show me how you did that please?
• Mar 17th 2010, 11:08 AM
skeeter
Quote:

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 $\displaystyle e^{-2t}$ ?
• Mar 17th 2010, 11:10 AM
Leitzge
yeah
• Mar 17th 2010, 11:24 AM
skeeter
for $\displaystyle k$ a konstant ...

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