how to setup partial fractions (all cases)

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just learnt this in school, but the teacher never bothered to actually explain. god bless ya, man

fun-damentals
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this, is HANDS DOWN, the BEST explanation on this entire website, maybe even in this entire universe

waleedd
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the most captivating part is the way he switches between the 2 markers with one hand

lyndonmensah-cooley
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This is great. I've done a lot of calculus and watched a lot of math videos, but don't know that I'd ever had it explained this way before.

willbishop
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You actually don't know how much I appreciate this video, i've had this question looming over my head for like 3 years! This was actually astonishing to see! Thanks!

farhansadik
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Finally this question is answered in an intuitive way:)) I’ve been wondering this for ages

martinezfalcon
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Insane mind muscle coordination they way you just swap the blue and red pens absolutely insane... And the explanation absolutely crystal clear

Williamsantosh.
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This is the best explanation I've seen for this. Great job.

luisaleman
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Thank you so much. This was extremely helpful as I was very confused about the setup of integral functions like this.

krystalh
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For me, the math is more intuitive this way, but it gets to the same place. Looking just at the (x + 2)^2 part, we could express its partial fraction as (Bx + C) / (x + 2)^2. Then we could algebrize that numerator into "(B(x + 2) + (C - 2B))", and since we're dealing with as-yet undetermined coefficients, we could replace "(C - 2B)" with "D". So that leaves us with a numerator of "B(x + 2) + D", and when we divide by "(x + 2)^2", we're left with "B/(x + 2) + D/(x + 2)^2".

kingbeauregard
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This was so helpful, listing all the possibilities and literally answering all the questions just as I was asking myself!

stemwithme
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I wish my university math teachers were like this guy!

JohnSmith-pvjq
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The best way to do partial fraction, is not to do partial fraction! ... I wish, But it seems impossible!
I'm always struggling with Partial fractions!
Thank you Teacher

wuyqrbt
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I needed a quick reminder before exams thanks

Kevin.nworie
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useful for inverse laplace transform !

saurabpoudel
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thank you kind sir, taking calc 2 as a 4.5 week summer course and its rough

lindseysekhon
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this was the best someone have ever explained me. It was to the point and not too overwhelming. By the way, that poke-ball mic is on point!!

vaishnavimajumdar
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Another nice video...❤ I revise My concepts watching your videos...

garv_g
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very useful to solve some kind of integrals and differential equations

AlfonsoNeilJimenezCasallas
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Good thing this answer got revealed during our algebra lecture when we were proving that every polynomial fraction can be expressed as the sum of the polynomial simple fractions.

Bruh-bkyo