The average particle speed in a Maxwell-Boltzmann distribution

[@DeadPeople1000]

Bruh, I feel so called out: "I left some room in the recording right there in case anybody had to groan out loud" 💀 Thanks for the help with this one!

[@jacmac225]

so real. soooo so so real.

[@chronikuru]

You just saved my life on my calc homework dude, I totally missed that substitution before the integration by parts and I was in hell. Thanks for putting this up!

[@ArunKumar-fi1wv]

you are a good man .. my exams were coming and i was terribly scared, you saved my life .. hope you dont get corona

[@ArunKumar-fi1wv]

@Davion Darius 😘😘

[@MrDeyvid34]

Holy, thanks brother, just what i needed

[@justincain4634]

It would be helpful if there was a video on how to integrate v^2 and the maxwell-boltzmann distribution since root mean square velocity is equal to the square root[average of v^2]. Gaussian techniques need to be used, apparently, and there are no examples on the Internet.

[@arturzych138]

beautifully explained

[@let6062]

Can you explain how to get the most probable velocity?

[@brenobarbosa7254]

You just take the first derivation of the Maxwell distribution and make it equal to zero (because it is the top of the distribution).

[@johnr1875]

i get why multiplying by v makes it a big difference. But why are we multiplying by v? Ive never taken stats.

[@luisgaposadas]

Its not stats, it is a theorem of calculus, the average value of a function f(x) over a range (a,b) is equal to the integral of the function multiplied by x { f(x) . x } from a to b.

[@longvu-kb4ue]

its because there is something in stats called the expected value of a function or mean of a function and when the function is a probability density function like it is here the expected value will be the integral from -ve infinity to +ve infinity of xf(x) dx Here's the source it'll be under "Random variables with density":en.wikipedia.org/wiki/Expected_value