Converting a Riemann Sum to a Definite Integral

This video shows how to convert Riemann Sum written in Sigma notation to a definite integral.

[ithingys]

I've been stuck on my AP Calc final for almost an hour now because of this question, but this video helped me get it done in like 10 minutes where have you been all my life???

[daniel]

In a year of calculus I never understood Riemann sums... Suddenly I do. God bless you.

[jasonegay]

Studying for a bug AP Calc test and seriously needed this as I didn't have a clue what the heck I was doing. Thank you so much!

[kennethhowell]

Thank you for saving me from, three weeks worth of work, in one three minute explanation. Thank you!

[nathancc]

I really miss your vids I'm in 9 th now I have been following you since COVID started and now you stopped uploading 😭 thank you for making me learn calc at this young age

[LinaTalalhafnaoui]

oh my god im so grateful for you thank you so much I’ve been trying to understand this for the past hour and I understood it in 3 mins thank you

[WheatleyOS]

This makes a hundred times more sense now..
Only I still don't really get how to do it for a problem that's at all more complicated.

[naeemghafori]

Very short and very good one i understood, thanks we are waiting for more.

[alika]

Oh my god this is the only resource that has helped me figure this out ily

[K_J_Coleman_Composer]

God bless you, Ma'am, God bless you.

[SirThreepio]

She is using "k" for 2 different things but no acknowledgement for this, because the function is already engineered so those 2 "k"s are equal. I think this approach is useful for some students but those more inclined to abstract thinking would rather have a more general approach or just be given clues and derive the general process at home.

[jacobrosspark]

Wow. This was tremendously helpful. Thank you.

[haubro]

How can you be certain that f(x) wasn't sin(5+x) and that a was actually 0?

[madeline]

thank you!! ap test tomorrow. we getting 5's

[ahmedrazim]

Replace k/n with x ; 1/n with dx ; 1->n implies 0->1. Thats it! Function changes but not the Integral.

[lavenderlemons]

this is the most simplest way to do it with the layout perfectly aligned. What happens when it isn't in that form?
For example, my question is: (Sigma, k=1, n) 2/n * e^(4k/n)

[bilgekaganozsahin]

What if our integral as x goes 0 to 3 sin(5+x) I can t figured it out

[kolewenger]

I must have missed it and I've actually never taken a Calc class, but I miss where delta X equals b-a/n.

[ckjain_maths]

Changing a definite integral to Riemann sum is simple and procedural. But changing a Riemann sum into integral is based on speculations and approximations. I have not come across a clear cut procedure.

[IrakleiosTheGreat]

Can the counting measure method be used instead?