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Improper Integrals Example 5: 1/sqrt(x-2)

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First published at 06:28 UTC on June 3rd, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over another example on improper integrals and this time solve the integral of the function 1/sqrt(x-2) from x =2 to x = 5. This integral is a Type 2 improper integral because the integrand has an infinite discontinuity or vertical asymptote at x = 2. But when we write this integral as a limit of a definite integral, the limit ends up converging to the value 2*sqrt(3) and thus represents the area under the curve.

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

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/improper-integrals-example-5-1-sqrt-x-2

Related Videos:

Improper Integrals: Type 2: Discontinuous Integrands: https://youtu.be/livlGUBuM54
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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