Integral of the Day 10.4.24 | IMPROPER Integral with Tricky Limit! | Math with Professor V

Here's your latest Integral of the Day! It's an IMPROPER INTEGRAL, and while the integration isn't too difficult, evaluating the limit at the end required a bit of work. Were you able to solve this?
If you need a refresher on the topics covered in this video, look no further:
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[@aaravshah3843]

Wow, rlly good problem! Makes you recall everything! 👍

[@mathwithprofessorv]

Right? Glad you liked it!

[@tony413chow]

Hi Professor V, thank you for your new video. I made the numerator to be 2x+2-2 and then the whole fraction was divided by 2. I still got the same result for the first part. But then, I was stuck at the second part showing the divergence of (xlnx-1)/x. Thank you for teaching me to solve the improper integral. Cheers.

[@mathwithprofessorv]

Nice work, as always! The limit was very tricky at the end, I don’t think most of my students would be able to do it the first time on their own. I thought it would be a good review of many limit concepts that often get forgotten. Keep up the excellent work. ☺️👍🏻

[@erikdurfey5576]

7 Ancient Wonders. 7 Indeterminate Forms. 7 minute abs

[@mathwithprofessorv]

And 7 deadly sins. 😉

[@beaumatthews6411]

Divergent = sucks

[@mathwithprofessorv]

🤣🤣 It’s so true though! I always get disappointed when the integral is divergent. 😔

[@Algebrainiac]

@@mathwithprofessorvsame lol. It’s like “oh gosh I did all that work only for it to be divergent”

[@mathwithprofessorv]

@@AlgebrainiacExactlyyyyyyyyy 😆