#algebra 

## Суммы Дарбу
![[Pasted image 20250224051113.png]]
![[Pasted image 20250224051128.png]]

Очевидно, что $\LARGE s(f, \tau) \leq \displaystyle \int_a^b f(x)dx \leq S(f, \tau)$

## [[Интеграл|Интегралы]] Дарбу
![[Pasted image 20250224051629.png]]

### Теорема Дарбу
![[Pasted image 20250224051742.png]]
![[Pasted image 20250224051748.png]]
![[Pasted image 20250224051759.png]]
### Понятие колебания
![[Pasted image 20250224052252.png]]

### Критерий интегрируемости Дарбу
![[Pasted image 20250224052316.png]]
![[Pasted image 20250224052330.png]]
![[Pasted image 20250224052344.png]]