Understanding Integration Minus Integration in FTOC Proof

  • Context: MHB 
  • Thread starter Thread starter Petrus
  • Start date Start date
  • Tags Tags
    Integration Proof
Click For Summary
SUMMARY

The discussion focuses on the concept of "integration minus integration" within the context of the FTOC (Fundamental Theorem of Calculus) Proof. The user initially expresses confusion regarding this concept but later confirms understanding after receiving assistance. The interaction highlights the importance of clarifying complex mathematical concepts for better comprehension.

PREREQUISITES
  • Understanding of the Fundamental Theorem of Calculus (FTOC)
  • Basic knowledge of integration techniques
  • Familiarity with mathematical proofs
  • Concept of limits in calculus
NEXT STEPS
  • Study the Fundamental Theorem of Calculus in detail
  • Explore various integration techniques, including definite and indefinite integrals
  • Learn about mathematical proof strategies and their applications
  • Investigate the concept of limits and their role in calculus
USEFUL FOR

Students of calculus, mathematics educators, and anyone seeking to deepen their understanding of the Fundamental Theorem of Calculus and its applications in mathematical proofs.

Petrus
Messages
702
Reaction score
0
Hello MHB,
I am trying to understand FTOC Proof but I struggle on a integration minus integration, how do that works?

2n66i54.jpg


Regards,
$$|\pi\rangle$$
 
Physics news on Phys.org
Hint :

$$-\int^x_a f(t)\, dt = \int^a_x f(t)\, dt$$
 
ZaidAlyafey said:
Hint :

$$-\int^x_a f(t)\, dt = \int^a_x f(t)\, dt$$
Got it now! Thanks for taking your time!:)

Regards,
$$|\pi\rangle$$
 

Similar threads

High School Question about change of variables
  • · Replies 29 ·
Replies
29
Views
5K
MHB Understanding Taylor's Theorem w/ Two Variables
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Help With a Proof using Contour Integration
  • · Replies 2 ·
Replies
2
Views
2K
MHB Chain Rule & Partial Derivative Proofs: Understand Easily!
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Should the function f to be continuous for applying MVTI or not?
  • · Replies 4 ·
Replies
4
Views
1K
MHB Understanding the Proof of a Bounded Function in a Closed Interval
  • · Replies 7 ·
Replies
7
Views
2K
High School Integral of cosecant function: understanding different approaches
  • · Replies 14 ·
Replies
14
Views
4K
High School Question about the limits of integration in a change of variables
  • · Replies 2 ·
Replies
2
Views
3K
MHB Is the Integral of (x-2)^3 from 0 to 4 Undefined?
  • · Replies 11 ·
Replies
11
Views
3K
Undergrad Variation sign and integral sign
  • · Replies 4 ·
Replies
4
Views
2K