How was the second integral obtained? What rule was used? Why were we integrating with respect to distance, and then this was switched to integration with respect to momentum (mv)? And was this a def. integral from 0 to s at first, but transformed into a def. integral from 0 to momentum?
I know this already, and I still don't get it. I need a step by step explanation of how the second integral was made to appear.
Carter Walker
Thanks, now I understand why they integrated with respect to momentum. But why was the definite integral changed as being from 0 to s to 0 to momentum?
Charles Smith
Anyone?
Josiah White
oh my god integration is so friggin gay fuck my ass
Michael Bennett
>differential and upper bound are the same variable
absolutely disgusting
Jason Brown
I think it's an issue of being rigorous. There should be two integrals, one for the range of position (0 to s) and one for momentum (0 to mv). But they just write the one.
Zachary Lee
Why is it not a definite integral of vd(mv) from to 0 to s? Why is it from 0 to mv? I got how vd(mv) was obtained from d(mv)/dt ds. But why was the definite integral switched from being from 0 to s to 0 to mv?
Levi King
Anyone?
Kayden Barnes
bump
Jeremiah Mitchell
what class is this op
also, idk lel
Easton Powell
Fucking subscribe to chegg man or type that shit into wolfram. Math is hard, but you can do it with help, also youre not going to use that shit in the field really anyways. If you do, you can look that shit up.
Liam Scott
physics really pisses me off sometimes if it's not some unexpected infinity showing up, it's some asshole textbook author that skips the important steps and just leaves out an integral sign entirely why does this happen?
Jordan Roberts
>why does this happen? My professor was telling me they show double/triple integrals as single integrals in textbooks because they don't want to scare students.
Luis Gutierrez
are you serious
Justin Lopez
You guys are tards, i'm a NEET college dropout and even I can see that a) ds/dt =v b) its now summed to momentum because by doing step a) you've set s to be constant and c) they have done this so that they can integrate that final formula from 0 to v only seeing as m or s doesn't show up in it
Asher Murphy
>able to decipher textbook runes >NEET dropout you must hvae good kind of autism, like jacob barneet, or neil degrasse titan