Calculus in Impulse Momentum Theorem

[elementbrdr]

Hi,

This is my first post. Sorry for the mistakes it certainly contains.

I have two questions. First, is there a tutorial for using embedded LaTex? I found some general tutorials on LaTex, but I couldn't get some of the commands listed in that tutorial to work in the embedded LaTex code block. Second, can someone explain the calculus behind the impulse momentum theorem to me? I understand how to get to I = integral{t1 to t2} dp/dt dt. But I don't understand how that simplifies to p2 - p1. I probably just need to brush up on my integral calculus a bit, but I would appreciate it if someone could point me in the right direction.

Thanks!

 

[bp_psy]

It goes like this:
$$I=\int_{t_1}^{t_2}F dt =\int_{t_1}^{t_2}\frac{dp}{dt} dt=\int_{t_1}^{t_2}dp=p(t_2)-p(t_1)=p_2-p_1$$

 

[The_Duck]

I understand how to get to I = integral{t1 to t2} dp/dt dt. But I don't understand how that simplifies to p2 - p1.

This is exactly the fundamental theorem of calculus--an important thing to make sure you understand well.