Cross Post from Classical Physics: Calculus in Impulse Momentum Theorem

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SUMMARY

This discussion focuses on two primary topics: the use of embedded LaTeX for formatting mathematical expressions and the calculus involved in the impulse momentum theorem. Users seek guidance on specific LaTeX commands and their application within embedded code blocks. Additionally, the conversation addresses the simplification of the integral expression I = ∫(dp/dt) dt to the change in momentum p2 - p1, emphasizing the importance of understanding the fundamental theorem of calculus in this context.

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  • Embedded LaTeX syntax and commands
  • Fundamental theorem of calculus
  • Integral calculus concepts
  • Impulse momentum theorem fundamentals
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  • Research tutorials on embedded LaTeX usage
  • Study the fundamental theorem of calculus in detail
  • Explore integral calculus techniques for momentum analysis
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Students and educators in physics, mathematicians focusing on calculus, and anyone interested in mastering LaTeX for scientific documentation.

elementbrdr
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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!
 
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Well, there's a dedicated thread on PF which explains you how to use LaTex.

As for the

[tex]I= \int\limits_{t_1}^{t_2} \frac{dp}{dt} \, dt =...[/tex]

Just apply the fundamental theorem of calculus. What's the antiderivative of the integrand equal to ?
 

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