Further Maths - Improper Integrals

2021-04-27
1 min read

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Flashcards

What two things mean an integral is improper??
  • One or both of its limits are infinite
  • It is undefined anywhere in $[a, b]$.
What do you call an improper integral that exists (has a defined value)??

Convergent.

What do you call an improper integral that does not exist??

Divergent.

$$\int^\inft_0 e^{-x} dx$$ What would you write instead to see if it has a defined value??

$$ \lim_{t \to \infty} \int^t_0 e^{-x}dx $$


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date: 2021-04-27 16:22
tags:
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- '@?school'
- '@?public'
- '@?methods-in-calculus'
title: Further Maths - Improper Integrals