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101/1000, how to convert a limit of a Riemann sum to an integral

• bprp calculus b… 오래 전 2026.08.16 16:00 인기
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@afamoustatuein… 　오래 전

101=LOL

2026-08-16 19:37

[ytcid:UgxiULvf26Z4IASLXjV4AaABAg] 101=LOL



@hail-hydra-911 　오래 전

But isn't every part of the sum 0 since sin(kpi)=0 (k€N)?

2026-08-16 17:48

[ytcid:UgyfPQO3bWAruaCvXKJ4AaABAg] But isn't every part of the sum 0 since sin(kpi)=0 (k€N)?



@vikramrawat526… 　오래 전

Day 101

2026-08-16 17:34

[ytcid:Ugww6JTfsvA68lKmT9t4AaABAg] Day 101



@MATHMASTERPRO 　오래 전

Heyyy

2026-08-16 17:21

[ytcid:UgxkrlcuaE-RNYSFtn94AaABAg] Heyyy



@bio_nerd_genev… 　오래 전

I don't know why, but I have always enjoyed Reimann sum problems. I know that integrals are usually faster to compute, but something about setting up a Reimann sum to compute the area under a curve is satisfying. Maybe that's just because I am a geometer at heart.

2026-08-16 17:08

[ytcid:UgxHBDdGJvnsZh-OKWF4AaABAg] I don't know why, but I have always enjoyed Reimann sum problems. I know that integrals are usually faster to compute, but something about setting up a Reimann sum to compute the area under a curve is satisfying. Maybe that's just because I am a geometer at heart.



@seba-goat 　오래 전

Reminds me of the Fourier transform idk why

2026-08-16 16:59

[ytcid:UgwBhkQpn7tKf6FQrXt4AaABAg] Reminds me of the Fourier transform idk why



@AOOA926 　오래 전

14 minutes ago?

2026-08-16 16:15

[ytcid:Ugx9MVgkgw8Taq72WHF4AaABAg] 14 minutes ago?



@philstubblefie… 　오래 전

10.1% and counting...  ?

2026-08-16 16:07

[ytcid:UgxrOqZTqx99q1YxVZF4AaABAg] 10.1% and counting... ?



@MrConverse 　오래 전

I fully understood the first one hundred problems, but this one? No.

2026-08-17 05:58

[ytcid:UgxufXnEkDDOI-8aKdp4AaABAg] I fully understood the first one hundred problems, but this one? No.



@TimelessTimers… 　오래 전

so cool

2026-08-17 02:41

[ytcid:UgyS3SB_Z1ewoowI0vJ4AaABAg] so cool



@coralkhieu 　오래 전

Say the formula for Riemann sum is (delta)x × sum(f(a+i(delta)x)) from i=1 to n. Is it true that you have to start the integral at a?

2026-08-17 01:31

[ytcid:UgzTY4AP0uSW3t5chkB4AaABAg] Say the formula for Riemann sum is (delta)x × sum(f(a+i(delta)x)) from i=1 to n. Is it true that you have to start the integral at a?



@ChristopherEve… 　오래 전

whooey who what now?

2026-08-16 23:44

[ytcid:UgxK2WKCHoXB9SWkzt54AaABAg] whooey who what now?



@mnek742 　오래 전

Side note: there's actually a closed-form expression for the finite sum! So in this case the limit can in principle be evaluated with precalculus-level limit techniques

2026-08-17 10:38

[ytcid:UgwHQk2UxWTKK_8PU6F4AaABAg] Side note: there's actually a closed-form expression for the finite sum! So in this case the limit can in principle be evaluated with precalculus-level limit techniques



@dowmanvarn7160 　오래 전

Lovin' this series!

2026-08-19 09:02

[ytcid:Ugz0d3o2wavC1GSuQEZ4AaABAg] Lovin' this series!