What's the different between a 'converge' and 'diverge' integral?

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In summary, a 'converge' integral is an integral with a finite limit as the limit of the partition of the interval approaches zero, while a 'diverge' integral does not have a finite limit. The main difference between the two is that a 'converge' integral can be determined, while a 'diverge' integral cannot. However, a 'converge' integral can become a 'diverge' integral if the limit of the partition of the interval changes. Both types of integrals are used in real-world applications in various fields, including physics, engineering, and economics, to calculate the area under a curve and solve problems involving rates of change in continuous systems.
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jkh4
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What's the different between a 'converge' and 'diverge' integral?
 
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Do you mean what is the difference between a convergent integral and a divergent integral?
 
  • #3
d_leet said:
Do you mean what is the difference between a convergent integral and a divergent integral?

yea, the different between a convergent integral and a divergent integral
 
  • #4
jkh4 said:
yea, the different between a convergent integral and a divergent integral

One converges and one diverges..? One has a finite limit, the other has an infinite limit..? One evaluates to a number and the other does not( it has an infinite limit approaching one of the bounds).
 

Related to What's the different between a 'converge' and 'diverge' integral?

1. What is the definition of a 'converge' integral?

A 'converge' integral is an integral that has a finite limit as the limit of the partition of the interval approaches zero.

2. What is the definition of a 'diverge' integral?

A 'diverge' integral is an integral that does not have a finite limit as the limit of the partition of the interval approaches zero.

3. What is the difference in behavior between a 'converge' and 'diverge' integral?

The main difference is that a 'converge' integral will have a finite limit, while a 'diverge' integral will not. This means that the value of a 'converge' integral can be determined, while the value of a 'diverge' integral cannot.

4. Can a 'converge' integral become a 'diverge' integral?

Yes, a 'converge' integral can become a 'diverge' integral if the limit of the partition of the interval changes and approaches a different value, causing the integral to no longer have a finite limit.

5. How are 'converge' and 'diverge' integrals used in real-world applications?

'Converge' and 'diverge' integrals are used in many areas of science and mathematics, such as physics, engineering, and economics. They are used to calculate the area under a curve and are essential for solving problems involving rates of change in continuous systems.

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