Partial Fraction Decompositions and Long Division

[mcovalt]

You're always so chill in these videos. I'm always SO fucking stressed when I watch these.

[slappytheelephant]

Thanks for this! I needed a refresher for my partial differentials test tomorrow!

[rtojj]

17:49 Thats what she Said!!!



[ICarnag3I]

I don't care what anyone says, we need to clone this guy.

[Tobby2010]

those who disliked should be left to wonder the desert on bare feet while carrying three 7th edition calc books by Stewart!!! Im done with calc and i still watch these vids to refresh on integration for my differential eqns

[patrickJMT]

@Tobby2010 ahhahaha, you tell 'em all!! :)

[1Look2Listen3Leap]

@Tobby2010 Totally! STEWART IS HORRIBLE!!!

patrickJMT rocks!

Thanks!

[phanlyna]

Thank you sooo much! You're a lifesaver! :D

[Mrjammintime1]

Thanks Patrick, I have my first Calc2 exam in a couple days and your videos are making a bit more confident with the material.

[gloryish1]

If I should have watched this video yesterday. i would have got a good score in our seatwork just lately :( how sad.. Anyway, a big credit to the owner of this video. Thumbs up for you dude!

[Skaterdude518]

Just curious what is your profession?

[patrickJMT]

@Skaterdude518 professional napper

[logos2600]

If you're like me and don't remember long division of polynomials heres his video /watch?v=l6_ghhd7kwQ

[SpnFan04]

you explain better than my prof and make it seem less scary! thanks so much!

[OMGDONTTELLANYONE]

Because of u am getting A's :D , thanks man !!!!

[AsmaZaghdoud]

You constantly keep saving my life mann

[IoIwhut]

Why would any dislike this D:<?

[otownfever]

I love you Patrick. Manly love. All-nigher for exam tom. Thanks mah man.

[patrickJMT]

@otownfever good luck on the exam!

[mert171]

you are totally going to heaven because of these videos.

[redrum41987]

@mert171 dont be a fag and bring religion into it

[muktipanchal]

you just saved my butt man

[Wastelander1972]

Precal make up test on PFD tomorrow. You rock, man.

[007abhinavagarwal]

why r u soo super at explaining maths

u r only on youtube that actually does some harder problems

[TheNumber2Pencil546]

this was also a great alphatbet review as well

[far0ashgar]

Thanks

[NinjaAsianMan]

most useful math tutor ever. freaking calc teacher at ucr sucks balls at teaching

[poop832709]

i dont understand why x^2 is not AX+C....cause its quadratic @ 18:06

[patrickJMT]

@poop832709 it is a repeated linear

[DrummerRF]

@poop832709 Plus it doesn't contain a constant. You can probaply write it as a lineair factor but you will have constants that will become 0 or 1

[LoLFlail]

@poop832709 basically its not an irreducible quadratic ( it can be factored down to linear factors)

[Mrjammintime1]

@poop832709 try rewriting the term as (x+0)^2

[Billabong024]

u are freakin awesome dude!

[Nixilius]

Thanks a lot for this, you explain this much better than my uni teacher

[MeetGrady]

@patrickJMT what happens, if you for example have (x+1)(x²+2x+2) in the denominator?

[alexmusicgraffity]

Zx+ ...oh shit. 

[MultiMoe91]

freeze some sperms patrick, We need more people like you (y)~~

[maytineeniyom937849]

คุณแสดงวิธีการทำได้ดี เข้าใจง่าย

[saosinrising]

i love you

[mugipoptarts]

Thank you so much for taking the time to do this. It means a lot! :)

[UnknownFPS]

Amazing, great video.

[lfcforever]

It's only fitting i post my first ever youtube comment for you. My utmost appreciation for this awesome work you do. You and your videos got me through my first semester calculus. Mature age uni student from down under. Good on ya mate!!

[patrickJMT]

@lfcforever glad they help! : )

[europeanbamf]

Thanks for the time you put into these Patrick

[geraldnlang]

life saver!

[geologist64]

great work ..thanks for sharing....

[padraiga]

Thanks for taking the time to do these.

[myashins]

patrickJMT is the greek god of clarity

[hicelina]

I appreciate your existence and the time you take to make these videos.

[An1m3myL1F3]

THANK YOU SO MUCH! I learn more from watching one of your videos than I do sitting for an hour and a half in class!!!

[sakif7]

Ive been getting 90s in my calculus class all through out this year through you help, thank you so much :)

[Beijing4Life]

im just wondering what if the denominator is not perfectly factor-able, and leaves a remainder? can you still use this partial fraction thing to solve it?

appreciate it

[jw111892]

two months later.... aced that calc final and aced the class. getting ready to go into multivariable calc.

[Battlefield2Pilot]

"Definitely not going to do this in one video"

*does it in one video*

[kyledude120]

mkay?

[WhiteMamba51]

this is easy

- white student, high school sofemore

[bobyoco]

@WhiteMamba51 Wow...I can't seem to decide if it's because you're a 'sofemore' or a 'white student' - jackass.

[EricfromWV]

@bobyoco probably both are the reason he's a douche :P

[WhiteMamba51]

this is easy

- white student, sofemore

[VictoriasSecret27]

@WhiteMamba51 if its easy why are you wasting your time watching it

[asifbliss]

I would not have been able to pass my university CALCULUS I & II class if it wasnt for u!!

[neelo4]

whats with these commercial that come up in the middle of teaching!!!

[speeron]

@neelo4 stop complaining. it keeps the videos free

[postaldude4111]

You are my god, and the only reason I'm not failing. My teacher is the worst I've ever had. We started with 20 now have 7, and half of those 7 are failing. I'm hanging on solely because of you. TYSM

[jji7667]

way better than my textbook and My teacher.

[trudal987]

I really do wish that my tuition went to you, opposed to some guy that doesn't know how to explain and has a monotone voice

[aksmy3]

I have to write this comment, otherwise I'd feel guilty It's 1:15am ...and i have been watching and doing my homework since 1:00pm. The one thing that I love is that you make me hold on to calculus. I know that i'd be a slacker without you. I am so grateful and thankful for the knowledge you share. I will pray that you reach all your goals in life.

- Indian student.

[jw111892]

would suck if you ran out of alphabets...

[MEMAMIMAMA]

@jw111892 it would suck to have to do a problem that long...

[AllDayRippa]

@jw111892 hahahaha

[BolovanX]

@jw111892 Happy face X + sad face. Angry face X + confused face

[tg8ify]

@jw111892 you'd use a subscript number underneath a letter

[redrum41987]

@jw111892 u mean letters

[corzocl]

you are the beeze knees

[roachey15]

Thank you so much!

[bmdoubleuu]

in case 3, if the denominator had x^3+4, the numerator would be Ax^2+B? am i right?

[edwindowfindo]

@bmdoubleuu Yes you are right; b/c the "value" of the numerator is one less than the denominator...its like what he said if you had an expression to the 30th degree....each degree is built upon a "original" expression. For example X^2...this is built upon x*x...its the same concept just different scenario. Its just not practical for exams and what not...just like taking derivatives of higher degrees like taking a derivative 8 times...then again tabular integration is another thing in calc 2.xD

[RiceNinja16]

THANK YOU :D !!!!

[starfishlovesu11]

you go at a perfect pace. thank you so much. :)

[rachelleBOO]

THANK. YOU.

[Marsc0met]

10:15 you said the first thing can be done using u substitution, but how would you substitute for the first one? Isn't that a natural log function too? ln(x+2)

[edwindowfindo]

@Marsc0met yeah youre right, but i think he is just showing "basic set ups" lol and possible way to integrate

[worldcupkrazy]

thanks you saved me!

[darn111]

What if the x was not in brackets and raised to the power of 2, or written like x^2? Would the numerator become Ax+B instead of A?

[muffinmonster15]

@darn111 No.

[RobStephfanfver]

I hate Partial Fractions! I never could get the coefficients or know how to break up the thing in the first place. These vids are a major help. Thank you! <3 <3 <3

[mingonuts]

If yer so smart how come you need to be educated by dumb Americans? eets crazy , no?

[mingonuts]

left handed people were never intended to write because they are the devils children and could never write anything nice

[defendurrootz]

who wouldve thought that a geek could be so smart... keep up the good work patrick

[Hackiesacker007]

The exponent can never by 30, because there are only 26 letters in the English language.

This is why people in foreign countries are better than us at math, because they are not limited by a 26-letter alphabet.

[0Valkyr0]

@Hackiesacker007 actually you could have up to the 52nd because there is both uppercase and lowercase letters. and thats not why people in foreign countries are better than us at math. their number systems are more logical, and most countries attend school for much longer each day and less vacations.

[Hackiesacker007]

@0Valkyr0 Everything is your response is true.

I was only kdding lol.

[drionshk]

@0Valkyr0 it's crazy... in macedonia they learn OUR 9th grade algebra in THEIR 6th grade. And they have just 5 hour school days. Over there they are unbelievably loaded with work, but the sad thing is, in that country they cant put their smarts to much use because their higher education system sucks so they try to come to america. however, they cant get into universities here because some usa uni's see that the uni system in southern europe sucks, so they think the rest of it does too :(

[zhaze420]

@0Valkyr0 some douchebag always takes things literally

[4loritttt]

thank you for this video. I understand this much better.

[simon42o]

Thank you <3

[davidtaidawei]

why is (x+1)with power 1 ,2 ,3...cus it suppose be all power to 1 after it splits to 3 isnt it

[Spazzmckiwi]

Thank you so much, I unfortunately missed the lecture on this topic, but this is a pretty good alternative. You're a saint.

[shin1300]

dude thank you thank you thank you thank you thank you thank you thank you now i can do my algebra assignment :D more power

[infinatycount1]

would it be best to find its derivative and then find the integral

[MiggyCon]

gosh thank you! your videos are way better than long hours of lecture

[annieluvdogs]

thank you so much for this! I missed the lecture because I had AP testing, and I havea test on this next week.

[Djole0]

for the example 3x+1/(x+1)^3(x) : Bx cx+d.. right? if there is one less degree?

[LeconsdAnalyse]

The problem is, when one is writing an invigilated test/exam...in which a partial fraction decomposition is only a side problem, of a problem...one does not have the luxury to sit back and go through the above procedure. Furthermore, the above procedure may be found in any of the plethora of calculus/mathematical methods books.

[oOOpIIIqOOo]

@LeconsdAnalyse please enlighten us with an easier alternative

[LeconsdAnalyse]

@oOOpIIIqOOo ...I have already posted in my channel`s comments section, about two weeks ago, a more efficient method. I used it to show the missing detail in a problem taken from "Practical Quantum Mechanics" by Siegfried Fluegge. Maybe tomorrow i`ll post an example, or two in my channel.

[oOOpIIIqOOo]

@LeconsdAnalyse ps sehr geiles video über quantenphysik hast du in deinem kanal! wirklich toll!

[LeconsdAnalyse]

@oOOpIIIqOOo ..Vielen Dank!

[thagiven1]

i have a question, when you're adding the numerator variable in(a,b,c,d) you said one degree less...what do you mean by that?

[moorewt]

I love the video but learn how to not talk directly into the microphone u hurt my ears

[hippomatron]

@moorewt or you could learn to turn down your speakers.

[crystalshayblack]

what is the integral of xarctanx dx ?

[kicker2666]

@crystalshayblack i dont believe there is one. i know there is a derivative of it, but dont think there is an integral. i could be mistaken though.

[Rohan233]

i wish i had a teacher like you for Ext.2 maths in Australia, makes soo much more sense

[snapshots69]

I Love You!!!

[pissedoffdude1]

You are...awesome!!!

[pissedoffdude1]

whoops, meant that @ patrick, hehe.

[alex267441]

oraleee ps ps ps mejor la tabla del uno esa si me la se jejeje

[carolina1bernardina]

@Metalmasterxxx la verdad que si!v:D

[Dem0nKlng]

how would you this question 2/x^2-9+3/x^2-4x+3

[jwsg90]

heaps of help cheers mate

[hirohamaman]

lol im learning the entire precal course in two days

[Shrubbs]

Subscribed!

[debit256]

left handed people should write backwards

[SilverstoneSarah]

@debit256 Then should right handers write backwards in Arabic?

[heyshutupyou]

@debit256 yes left handed people should write backwords. which would require them to think backwords. . . weird shit.

[BrunoSoundFL]

@debit256 !taht ot esneffo ekat I dna ,dednah tfel m'I !YEH

[gluemanred]

@debit256 That's what integration is!

[badboymo86]

shouldnt you have a bx on top of the x^2 since its a quadratic factor????

[barnumeffect5]

it's a quadratic factor, but it doesn't have an additional term to it. if it was x ^ 2+1 then it would be bx + c. The only reason you need to put an x in there is to show that there are 2 different variables in the numerator while still remaining a true statement.

[calvinhobbesliker2]

how do you factor x^4+1 into linear and quadratic factors?

[sighmeoh]

and no its not an error @ 18mins.

[sighmeoh]

thanks for the help! i blanked out in class when the teacher said we'll have to use long divison LOLOL. whaaaaaaat? this video helped alot!

[Boca180]

thanks for explaining the different cases

[manoj0072006]

ya i thinks he made a mistack it shold be that?????

[bsalagean]

why don't you have to put bx over x^2? i thought since it was sqared you have to put a number in front... or is that only if it is a polynomial squared? (at like 18 min)