Riemann sums in summation notation | Accumulation and Riemann sums | AP Calculus AB | Khan Academy
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- Опубліковано 9 лют 2025
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Generalizing the technique of approximating area under a curve with rectangles. Created by Sal Khan.
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This is the greatest explanation EVER for Riemann sums.
I'd like to see the series of videos in there entirety. The Previous Lesson link in the video description is on worked examples of sigma notation.
My mind has been blown 18 times in the last second lol
I think I just feel in love with this channel
Very helpful
u did a great job thnk u
awesome!
Thank you 🙏
Thank you
Khan academy is awesome!
nxt video pls..😊👍
I Actually Had To Look At That One..! Resel..! Lol you got mii on this one
why aren't these vids on the Khan website?
What's the difference between a pure reimann upper sum and a general upper sum?
they are D: under calculus, and then definite integrals.
what I don't understand is why the approximation is 8.735 when in the last video it was 8.75 :D
2 minutes of time spent double checking my sanity level that I will never get back
Someone needs to make a video on finding the exact area under a function using Riemann sums...just saying.
Not possible
take the limit as n goes to infinity
dafug do "arbitrary mean"
ar·bi·trar·y
ˈärbəˌtrerē/
adjective
based on random choice or personal whim, rather than any reason or system.
"his mealtimes were entirely arbitrary"
synonyms:capricious, whimsical, random, chance, unpredictable
3:12 the nth rectangle should be above the curve not under the curve.
Oh no. You are choosing the value on the left as the height of your triangle. And since the function is concave upward, the value on the nth x value is going to be slightly smaller than the value at b. Therefore he is right.
Thanks! I've had trouble navigating their site (although, since they've changed it around it's become easier).
If you haven't heard of it--check out coursera.org (free online university classes!!)...
Why isn't the index value i = a?
Then with the equation you’d have f(x sub -1)Δx, and we’re not interested in that value. Only values from a to b.
why is the notation Xn-1?
he explains it at 3:06
hey
For the first time ever, Sal has failed to help me understand.
mathy notation
Σ