My professor's teaching online for the semester so she can just reuse all her old videos from the last 3 semesters. This 15 minute-series explains everything way better than her 30-minute video could ever hope to
Please someone tell me which application is used by Sal, besides using Bamboo tablet? Not the recording app, but the app that Sal uses to write on? Is it Smoothdraw?
FIFA Lords & Legends True. If you didn't change the limits, you could have still gotten the problem right by substitutions the original expression you had for u back into the equation, but that would be longer and can lead to tiny errors. Changing the limits is the best way to do it.
Pretty good but hesitates to call ds a tangent since he thinks like others that a tangent is a point with no length. Used the term "loosey goosey" when deriving the ds formula (ha ha). Yet they integrate tangents to get length of a curve.
at 2:15 cant we just leave it as √(1+((3/2)x^(1/2))^2)? that way the square root cancels out the square so we would just have to integrate 1+(3/2)x^(1/2)?
My professor's teaching online for the semester so she can just reuse all her old videos from the last 3 semesters. This 15 minute-series explains everything way better than her 30-minute video could ever hope to
So many professors are getting paid fat $100k+ salaries while essentially not working at all.
I like how you write your radicals, I might have to adopt that
some times i hate math,i come here,back to being a lover.
this is perfect for before test review!!
I finally started passing my exams after I remembered Kahn Academy existed lol
Thank you very much!
Please someone tell me which application is used by Sal, besides using Bamboo tablet? Not the recording app, but the app that Sal uses to write on? Is it Smoothdraw?
Thank you so much I understand how to do it now!
Wolfram alpha thanks for your help in doing my homeworks!!
thank you very much
why do we change the boundaries of the definite integral? is it because we used u-sub?
Yes, the integral was with respect to x and you changed the integral with respect to u so you must change your limits.
not necessarily a must. It's just an alternative way of doing it.
FIFA Lords & Legends True. If you didn't change the limits, you could have still gotten the problem right by substitutions the original expression you had for u back into the equation, but that would be longer and can lead to tiny errors. Changing the limits is the best way to do it.
Yea
if you don't change bounds to be with respect to u, you must un-sub u so your expression in it terms of x. You can't mix u and x.
Thank you so much. 😘
Pretty good but hesitates to call ds a tangent since he thinks like others that a tangent is a point with no length. Used the term "loosey goosey" when deriving the ds formula (ha ha).
Yet they integrate tangents to get length of a curve.
Good
What conceptual proof video from before is he talking about? I must see it.
Isn't there suppose to be a 2Pie in front of the integral? Or is that only for finding the surface area of the arc?
yeah its for the surface area only i think
at 2:15 cant we just leave it as √(1+((3/2)x^(1/2))^2)? that way the square root cancels out the square so we would just have to integrate 1+(3/2)x^(1/2)?
You can't distribute exponents over a polynomial. sqrt(1+x^2) does not equal sqrt(1) + sqrt(x^2).
Cease before the math police comes to arrest you
Sqrt(a+b) and sqrt(a)+sqrt(b) are not the same thing. Go study well enough before watching these videos.
Isn't it 8 when we multiply (32/9)(9/4)?
Yes
You have to add 1 by formula
( +1)
he just said
Yes, it is. And 8+1=9, isn't it?
Who pauses the video to work on it 👁 👁
*no one*
when i did the u sub for the bounds i got u = 8 not 9
If f(X)=x^2 then find the length of arc
What bounds tho dude
Integrate sqrt(1+4*x^2) wrt x
is there a unit for the lenght?
It's just unit. We're im coordinate plane and we use x and y distance.
The Ghosts of Departed Quantities (that is the differentials) would approve, I think. Very nice if infinitesimally quirky presentation.
4:27 Me be like: What? Dealing with me?
so, I can throw away my abacus now? :)
what i wanna duuu ( derivative of d with respect to u joke)
My teacher sucks
Mine's even worse
Isn't there suppose to be a 2Pie in front of the integral? Or is that only for finding the surface area of the arc?
+lisky4u surface area