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Discovery Project: Patterns in Integrals: Question 1: 1/((x+a)(x+b))

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First published at 23:38 UTC on August 9th, 2019.

Math Easy Solutions

MES

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In this video I go over an interesting section in my Calculus book called Discovery Project and go over Question 1 of the Patterns in Integrals project. The Discovery Project section explores specific topics in calculus in greater detail. In this video I use a Computer Algebra System (CAS) to go over the family of functions in the form of the integral of 1/((x+a)(x+b)) and show how we can derive the general integral formula by using a CAS to determine answers to different examples and finding the pattern in the answers. I also go over the solution by hand using the method of partial fractions to double check that the CAS formula guessing method is correct, which indeed it is. This is a very important video as it shows the power of computers to derive formulas for entire families of integrals so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIheQU2Hzv5ozfBL0Vzw

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/discovery-project-patterns-in-integrals-question-1-1-x-a-x-b

Related Videos:

Integration using Computer Algebra Systems (CAS): Example 1: http://youtu.be/kO8FjLnp56I
Integration using Tables of Integrals: Example 1: http://youtu.be/AOToFP-4Mfg
Can We Integrate All Continuous Functions?: http://youtu.be/OFEDLJYqYps
Integration by Partial Fractions: http://youtu.be/r07NnKf76og .

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