5:46 "now is the first time that we get some restrictions for f" I think that this wrong, because the mean value theorem also imposes some requirements on f.
Correct. To be precise, it actually requires that f(x) is continuous and diffirantiable on (a,b). Also, the formula presented in the video I believe is wrong. F(x,b)-F(x,b+h) should be in fact F(b,t)-F(b+h,t), since we're intagrating with respect to x.
why at 1:15 do you say I (as in integral) is both a function of x and t when it is clearly only a function of t since x is a dummy variable and will play no role in the final result?
![Megan Thee Stallion - Neva Play (feat. RM) [Official Video]](http://i.ytimg.com/vi/TpYTyAaTRts/mqdefault.jpg)
5:46 "now is the first time that we get some restrictions for f"
I think that this wrong, because the mean value theorem also imposes some requirements on f.
Correct. To be precise, it actually requires that f(x) is continuous and diffirantiable on (a,b).
Also, the formula presented in the video I believe is wrong. F(x,b)-F(x,b+h) should be in fact F(b,t)-F(b+h,t), since we're intagrating with respect to x.
Your channel is SOOOO underrated and underappreciated! Love your videos, keep going! ❤
Hell yeah!
We doin proofs now!!!
Two of my favorite creators here
In 3:38 I believe it should be F(b+ deltab, t) - F(b, t)
Thanks! amazing video
why at 1:15 do you say I (as in integral) is both a function of x and t when it is clearly only a function of t since x is a dummy variable and will play no role in the final result?
upper and lower bounds of integral also depend of x, so it will end up being a func5ok of the parameter t, and x as well
@@sashaguzman7792 what no they depend only on t, when you carry out the integration x will go away, you're not calculating an antiderivative here
Excellent video!
love the video quality!
Love ur determination ❤
Wikipedia: Leibniz integral rule
splendid
Love measure theory ❤
I'll subscribe just for the name of your channel.
why did u private your most recent video, mistake?
There's been 15s of poorly adjusted sound. Got rid of it:)
@@Brodosomemaths dziękuje.