Integration Using Arctan function

In this video, I showed how to integrate a rational function with a quadrratic sum in the denominator using the arctan derivative substitution.

[@willwill3917]

The explanation on this is genius

[@carnagemedia6043]

Boss, your explanation are👏 👌

[@tactaillike]

Good concise explanation. Was stumped on how to get the integrand looking more like a normal derivative of arctan(x), didn't realize you can just do some factoring there as well. Thanks!

[@radjaazouaghi]

شكرا لك من الجزائر 🇩🇿🇩🇿🇩🇿🇩🇿

[@Rockerfeller26]

Great video✨️

[@AntonGson]

Really helped me this one, thank you for the work!

[@goodmanphumlani1145]

You are the best❤

[@victorlegrand7189]

The goat thank you

[@nokuphiwobhubesi]

Thank you.

[@Ni999]

8:15 "This is not an angle we can read off of the tan chart because _it's not on the unit circle."_ Would you please clarify that last part or am I taking it the wrong way? It's not a big deal, I enjoyed the problem. 👍😀

[@PrimeNewtons]

The angle is not any of these in degrees (0, 30, 45, 60, 90) or the negatives.

[@Ni999]

@@PrimeNewtons Yep, it's not trivial. I'm more curious about how it's "not on the unit circle" when it is. 🤔 Is it just semantics?

[@PrimeNewtons]

😂 You are correct. It's on the unit circle just not nice. And we don't want to find out , so we leave it like that. That's what humans do...lol

[@ghanshyams.bachhav2932]

Sir next video permutation and combination tricks pls🙂

[@jan-willemreens9010]

... Two questions to you Ghanshyam: You have 5 numbered (1 to 5) chairs available and 5 persons; Q1) In how many " ways " can these 5 persons sit on your 5 numbered chairs? Q2) How would you call " ways " in this situation ... permutations or combination? Good luck! ...

[@PrimeNewtons]

I'll see. I try to focus on calculus for now

[@nicogehren6566]

good

[@user-yh6wz9tx5b]

yeah buddy, you're GOAT'ed

[@nicolascamargo8339]

Genial

[@odumosuadeniyilukman]

Can't we apply used the other of 1/A tan iverse of (z/A) + c

[@PrimeNewtons]

Yes you could. Just be sure to use the correct (z/A)

[@IrvinMoonga-rw4ul]

Very nice,,,,,, show how to integrate √(5-3x²)dx for me please!,,,, I seek clarity!

[@PrimeNewtons]

Irvin, that's your video.

[@IrvinMoonga-rw4ul]

@@PrimeNewtons thanks for your clarity!

[@wira2562]

RIP Hyper Scientific Calculator.😂😂😂

[@PrimeNewtons]

Lol. I use that too.