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Improper Integrals: Type 2: Discontinuous Integrands

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First published at 20:58 UTC on June 4th, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over the Type 2 Improper Integrals, which is the case when there are discontinuities in the integrand (i.e. the function being integrated). Basically, the only difference between the Type 1 and Type 2 improper integrals is that we are dealing with an infinite horizontal region in Type 1, and an infinite vertical region in Type 2. The discontinuities in Type 2 improper integrals arise from a vertical asymptote and like the Type 1 case, we can define the improper integral as a limit of a definite integral. If this definite integral converges to a number, then the integral is convergent otherwise it is said to be divergent and the limit does not exist.

Download the notes in my video: http://1drv.ms/1p7Duq1

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/improper-integrals-type-2-discontinuous-integrands

Related Videos:

Improper Integrals: Type 1: Infinite Intervals: https://youtu.be/9ZlsCy3wdZU

Improper Integrals: Introduction: https://youtu.be/ud44W-0jC-c
The Definite Integral - Brief Introduction: http://youtu.be/vhMP5SKbQjU
Integrals and Areas Between Curves: http://youtu.be/2F03KMLIzbk
Infinite Limits - Precise Definition: http://youtu.be/QyVTgSzn7dE
Infinite Limits - Vertical Asymptotes: http://youtu.be/H-5Txa8SOwQ .

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