Improper integrals discontinuous integrand

SMALL MISTAKE at 17:34 - The antiderivative should be x - 2 +2ln|x-2| + C; I forgot to transfer the coefficient 2 when I finished the u-substitution! Even with the coefficient 2 missing, the end result of the question is still the same, the integral diverges to negative infinity. Shout out to chalumba ngalu for catching the mistake!

In this video, I go through 4 examples showing how to evaluate improper integrals with a discontinuous integrand. I show cases where the integral converges and diverges. Also, I carefully explain the concept behind this particular integral so that it is easier to set up the correct expression to evaluate.

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[emilymoigenyanchera]

Best explanations, thank you for taking your time to lecture the best lectures

[raed_ksa]

holy shit! I was browsing vids to learn how to do this crap then solve my homework but u just solved my homework! gonna cram this subject I guess

[alertbanda]

You're a genius kingman!!..Well cooked

[nemoznacime]

Why is the last one diverging, wouldn't the other part of the integral, from 2 to 5 be diverging towards +inf and they might cancel out then ?

[crazyjester]

You could have used the integration of partial fraction here why didn't you use it 16:30
Don't forget negative number

[dpmike]

You made a mistake around the 21:18 mark..you forgot the 2 in front of the ln