Improper Integrals of Type II (Discontinuous Integrand) in 12 Minutes

In this video we talk about how to compute Improper Integrals of Type II (discontinuous integrand) and determine whether the integrals are convergent or divergent. We present three examples here:

0:20 - integrand not continuous at the lower limit
2:35 - integrand not continuous at the upper limit
5:55 - integrand not continuous at an interior point of the interval

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[justinsmith]

Phenomal lesson, I have a test next period and you just made my day. Thanks a ton! Very clear and concise.

[oliverm]

WOW! you are a great teacher. so clear. You need way more subscribers

[beyz]

Hey! Tysm actually this video is really easy to understand thanks again😀

[seabasszamarripa]

Excellent video. Very well organized and explained for the 3 examples of type II improper integrals. Thank you!

[bluedreamtv]

Great videos very clear and concise explanations 👍🏿

[crazyjester]

6:41 in case v.a. gained is not equivalent to any upper or lower limit then break the integral into two improper integral with gained one being the middle one

[chaimabensafi]

Thank you so much, you're a life saver ❤❤❤❤

[林沐學-si]

In question 3, does we know the second one is equal to positive infinity? Therefore negative infinity and positive infinity will cancel each other. So we get a finite number and it is convergence.

[floatingspongebob]

How do we know it limit is approaching from right side or left skde

[mennaahmed]

How do you know it’s approaching negative infinity, I don’t get it ?

[hesherbanter]

Thank you so much, I have one question - how do you know which one is discontinuous, like in example -2 why we didn't choose 0 instead of 4 ?

[ryzn_]

Question, in the last one, one of them only diverges, doesn’t that mean we should see if the second once also diverges or converges?

[Bryan-lo]

my proffessor sucks in my calc 2 class i can barely understand bro