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jkh4
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What's the different between a 'converge' and 'diverge' integral?
d_leet said:Do you mean what is the difference between a convergent integral and a divergent integral?
jkh4 said:yea, the different between a convergent integral and a divergent integral
A 'converge' integral is an integral that has a finite limit as the limit of the partition of the interval approaches zero.
A 'diverge' integral is an integral that does not have a finite limit as the limit of the partition of the interval approaches zero.
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.
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.
'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.