quick question, I was watching an MITOCW physics lecture and I want to know where a principle breaks down.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int^t_0 \frac{dp}{dt} dt = \int^{p(t)}_{p(0)} dp [/tex]

how do I know such a thing is allowed? where does this break down? does it break down if p or t does not have property such as smoothness?

here is the little section of the lecture where I saw it:

http://www.youtube.com/watch?v=Lkuo6nZ6nZM#t=12m30s

I am never comfortable until I know what is being assumed and where something breaks. Thanks!

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# Calculus breakdown

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