Calc II: What is the I'th Subinterval?

  • Thread starter Thread starter bmed90
  • Start date Start date
Click For Summary
SUMMARY

The discussion centers on the concept of the "ith subinterval" in Calculus II, specifically in relation to the Riemann integral. The Riemann integral involves dividing an interval [a, b] into n subintervals, which are sequentially numbered from left to right. The "ith subinterval" refers to the specific subinterval labeled with the index "i". Understanding this concept is crucial for grasping the fundamentals of integration and summation in calculus.

PREREQUISITES
  • Understanding of Riemann integrals
  • Basic knowledge of interval notation
  • Familiarity with summation notation
  • Concept of limits in calculus
NEXT STEPS
  • Study the properties of Riemann integrals
  • Learn about partitioning intervals in calculus
  • Explore the concept of definite integrals
  • Investigate the relationship between Riemann sums and integrals
USEFUL FOR

Students in Calculus II, educators teaching integration concepts, and anyone seeking to deepen their understanding of Riemann integrals and subintervals in calculus.

bmed90
Messages
99
Reaction score
0
Hello, I've been in calc II for awhile and for some reason I cannot grasp the concept of what is ment by the ith subinterval. I know it has to do with summing up n number of slices. Can anyone please elaborate? Maybe have a simple explanation for what the ith subinterval is ? Thanks
 
Physics news on Phys.org
I suspect you are talking about the Riemann integral. To define the integral on some interval [a, b], you divide it into n "subintervals". If you then number them 1, 2, 3, ..., from, say, left to right, you have the "first subinterval", the "second subinterval", etc. The "ith subinterval" is just the subinterval that is numbered "i".
 

Thread 'How does this derivative work? And why the speed of light remains?'

Relativistic Momentum, Mass, and Energy Momentum and mass (...), the classic equations for conserving momentum and energy are not adequate for the analysis of high-speed collisions. (...) The momentum of a particle moving with velocity ##v## is given by $$p=\cfrac{mv}{\sqrt{1-(v^2/c^2)}}\qquad{R-10}$$ ENERGY In relativistic mechanics, as in classic mechanics, the net force on a particle is equal to the time rate of change of the momentum of the particle. Considering one-dimensional...
View full post »

Similar threads

What are the definitions and properties of Riemann sums?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Advice toward Mastering Challenging Vector Calc Problems
  • · Replies 4 ·
Replies
4
Views
1K
High School Direct sum decomposition into orthogonal subspaces
  • · Replies 2 ·
Replies
2
Views
1K
Do I need a new book? (Using Calculus: The elements by Comenetz)
  • · Replies 14 ·
Replies
14
Views
3K
What are some helpful websites for understanding concepts in Calc II?
  • · Replies 2 ·
Replies
2
Views
1K
Programs Catch Up as Math Major: Calc II, Linear Algebra, DiffEq & Analysis
  • · Replies 8 ·
Replies
8
Views
2K
Graduate Summing over continuum and uncountable numerocities
  • · Replies 1 ·
Replies
1
Views
3K
Graduate What exactly is a "rare event"? (Poisson point process)
  • · Replies 12 ·
Replies
12
Views
4K
What should I study in my free time when school starts?
  • · Replies 9 ·
Replies
9
Views
3K
Undergrad Ways to put n balls in m boxes such that exactly k boxes are empty?
  • · Replies 29 ·
Replies
29
Views
4K