Partial Fraction Expansion 1

[lightmarepeno]

If you choose the x = (-5) aren't you dividing by 0

[H3rkules]

This was a fantastic video, Sal! Your explanation of partial fraction expansion is infinitely better than any other I found. I had spent about an hour with a convoluted explanation from a textbook, and I'm glad I've found this video since I now got it! Thanks a lot.

[jouldegrain]

really people if they saw some videos that don't have any dislikes and the other said so, then some retarded going press it

[samia7756]

i love you for the sake of Allah, thanks!

[BinaryRobin]

Khan Academy I freaking love you.

[XfarglesX]

ughhh I never understood mixed numbers and improper fractions-_-

[zachsilvey]

I honestly don't know if I could have passed calculus before Khan Academy was around. I'm so glad this resource exists. I am donating.

[bysabrinart]

I got test tommorow! THANK YOU So MUCH FOR BEING HELPFULL!!!!

[koreathreekingdoms]

Fuck my maTH TEACHER fuck her and her sorry teaching skills dude you sir saved my confused stat on this..... Whenever i need help i know who to go to and thats khanacademy.

[berkk1903]

GOD? dont make me laugh:)

[TeeEye84Plus]

Comment below: just take the integral of the terms!

[MrAmerica99997]

i dont wanna be a bumb... but do u have partial fraction integration?

[TwiliteKingdom]

THANK YOU THANK YOU THANK YOU GOD BLESS YOU THANK YOU GOD BLESS YOU MATH IS NOT MY STRONG POINT AND THIS MAKES SO MUCH SENSE THANK YOU THANK YOU PLEASE DONT STOP SHARING YOUR AMAZING KNOWLEGE THANK YOU SOOOOOOOOOOOOOO MUCH!!!!!!!!!

[8rodney8]

Yay now i can intergrate partial fractions :3 i wanna eat your poop

[sin7wu]

best teacher in the world.

[philleh88]

dude, you're awesome! 

[poornapowers]

WOW!!u r lyk da BST TEACHA EVAA!!!i mean it!!really!!i hv a partial fraction tst on monday n dis really helpd..sal GAWD BLES U!

[THemoauveavenger]

When Chuck Norris has trouble with his math homework, He consults Sal Khan

[mrstikitupurcndyass]

amazing



[beshjm]

we're ready to commence our partial fractions decomposition,,, maaan i love you :D

[TheNickBNZ]

@benomarbaomar1 What a retard. Do you realise how important maths has been to the development of modern civilisation. Do you think you would have a computer infront of you (and the internet for that matter) without maths..... Ignorant. “Nothing in the world is more dangerous than a sincere ignorance and conscientious stupidity.”

[steelers5x]

the government should pay you!

[jamie007pwnz]

@steelers5x He once got a 2 mill award from google. He deseved it :D

[kashivranik]

B and 13 haha xD

[kashivranik]

Great 0 dislikes.

[Facsious]

@benomarbaomar1 You ought to find a better way to spend your time man. There's a world full of satisfying experiences out there. All you have to do to embrace them is stop posting offensive youtube comments and get on with it.

[paulceltics]

thanks a lot

[scorpionboy3]

What was Sal thinking when he tried to find the roots for x^2 -3x -40. Didn´t get it. What was his thought process? Looks really useful

[HASMADU]

@scorpionboy3 i use the same process! its just u find what 2 numbers multiply to give -40 and also when you add those two numbers they give -3! so -8 x 5 = -40. and when u add -8 + 5 it give -3! so yea its (x -8) (x+5)

[McSirDeeSir]

I'm am soooo upset that other tutor sites post their content on Youtube as well, however, it is only a portion of their video to advertise their tutoring site. And they still manage to post above your videos!

I appreciate your videos so much, and I am so grateful that there is someone doing this.

[muchufoo]

i got my integral as

x+(2/13)ln(13x.+65) + (11/13)ln(13x+104)

[TheLiberalSoup]

haha funny when you said "Im gonna throw in a word here that you don't know: Integral". I just came from your differential equations videos to here because you made a video where you used that and i wanted to learn more about it.

[MrMikees20]

Thanks a lot



[Naryo2]

i cant believe that you learnt this in the 7th or 8th grade!

thanks for the enlightenment

[deathalert]

7th or 8th grade?!? I only learned this in University Cal...

[DesuChanXD]

THANK YOU SO MUCH!!!!!!!!!!!!!

[ko095]

how can you divide this 5x^2/(x^2-3x-4)

[ProjectBerklee]

khana means food in indian.

[espencerrrr]

awsome



[QAZRUS]

Great. What program do you use for this? It is paint, or some "white bord" app?

[Titaniumgoblin]

Thank you so much!!! now i can use this to do some integration problems (: Thank you again

[jimmybro001]

What if you have the same order above and below but no common factors for example: Y(s) = (s(s+1))/((s+2)(s+3)(s+4))?

[jimmybro001]

@jimmybro001 Never mind got it sorted, cheers

[WestonAAFC]

what if its like "x+whatever = A(x+2)+B(x+2)" so the two numbers int he brackets after the x's are the same?

[stolepesov]

good tut.

[EngrossingEnigma]

Khan is the best instructor I have ever see and I've seen a lot on here.

[virginialikesyou]

Dear Khan, I'm in Calculus II and this video saved my butt!!!! Thanks a BILLION!!!

[iamfabulous09]

I have a calculus 2 midterm tomorrow afternoon good thing I found this video. Thank you so much for taking the time and explaining this. too bad I can't pause my professor and rewind till I understand

[Musketman007]

I understand how to do this easily. I just don't understand why the method works or how it was derived. I'm in calculus now and we're doing this for integration. I always like to know how things were derived and I am clueless on this one. ;(

[5nfo0osh]

really u r making my life easier .. thanks man

[Johannady]

i wish my teacher is charismatic like you..

she is so boring.. it's hard for me to pay attention to her..

It' so easy to listen to you because you make it seem so fun :p

[ViolaceousDreams]

i love u !

[smilerLFC]

Your the man

[darantula]

Excellent explanation. Thank you so much! You have helped me across disciplines. Keep up the great work, please. =D

[Crissix100]

In 7th grade I was taught integers, and in 8th we learned how to multiply integers. I didn't learn this until calculus 1 :(

[1073601]

turns out i need to remember this for calculus 2

thanks for posting the video

[XiDecepi]

another great video, can't believe you learned this in 7 or 8th grade... I'm barely learning it in calc

[lintuxvi]

Thank you thank you thank you Sal, I've kicked and screamed my way into Differential Equations after stuttering over my math studies for the past ten years, but this video has filled enough of the gaps so I can finally do my Laplace Transforms ;D

[stopfinningsharks]

excellent!



[WILLGYS]

Yahoo!! Finally Got ti :D

[June28July]

Lovely!

[Chase0809]

Wow, thank you so much! I have a calculus class at 8am, so I'm never able to fully comprehend whats going on that early. I was having trouble on my homework, but this helped a whole bunch! Thanks again! I really appreciate you posting this. :-)

[RussianMonk13]

Thank you for helping me own my homework

[cencer1991]

good effort... thx

[ballisticsman49]

THAT B LOOKS A BIT LIKE A 13 !!!!! HAHA

[Peteskeet253]

thanks so much.

[abadonslipknot]

you are my salvatore!

[jiazhongqi]

THANK YOU SO MUCH

[pricesalem]

very helpful...great explanation and example, THANK YOU!!!

[rjcuga]

I just want to say Thank You, sir. I'm taking Differential Equations and these math videos help me so much in catching up with old math I have forgotten.

[Blueknightex]

OMG...you just showed me how to solve this really HARD partial fraction question from my 1st assignment...Aww I should've watched this video =( I definitely lost marks on that ugh >:(

[romyboy]

thank you !! you add another tool in my tool kit now I'm ready to attack

hehehe!!

[WildChildftw]

Isn't this a bit mathematical sketchy? When you set x=-5, you'll basically divide by zero.

[d00meD]

@WildChildftw partial fraction decomposition is useful in finding a simpler representation of a function to integrate...and integration does not have to be defined on a domain of all real numbers. the bounds vary depending on the problem...but yes [x=(-5)] is undefined, so rules for improper integrals could then be applied.

[MrAlexhusa]

Thank you very much! I could not understand either my book of my teacher but thanks to you now I do. God bless you>

[elmascagao]

thank you

[aroguegurklis]

"Much easier to take an inverse Laplace Transform..." Hit the nail on the head with that one. Oh how the things I thought were useless have come back to remind me that they're still there. Thanks for the review!

[misszarina22]

thaaaank you very muuuuuuch!!!!i could't understand it for a long time!now i got everything!really my math teather is sucks!

[Ykoahi]

feels good man.

[reidmeyers]

sir you are a god send. this helps SOOO much

[mattsphagetti]

Thank you SO much for taking your time to post all these useful videos. God bless you!!!!

[noblessus]

This is a life saver! Thanks a lot!

P.S.

I can't find the link to Partial Fraction Expansion 2 on your website, had to do a youtube search to find it.

[flashcat7777]

10:50 - He speaks the truth! If you're just learning this in algebra or pre-calculus, don't forget it! You will definitely see it in all its glory in calculus and differential equations classes.

[Nomm098]

You learned this in 7th or 8th grade? Wow.. I'm in 11th, and am now learning it. I guess KY's kinda out of the loop :P

[syberslidder]

good stuff, your my hero

[NJMetsHero]

I'm definitely going to watch all of these Partial Fractions videos. Thank you for doing these, all of your videos really. Very helpful.

[ghgjftythnhcfghdty]

Hey! I think Sal finally got a new pen tool, WOOHOO!

[remmyjable]

It seems to matter which factored terms go under A or B. Why is this? For example, I couldn't put A/x-8 and B/x+5.

I'm not exactly sure how to decide what to put under A and what to put under B.

[noblessus]

Yes you should match the correct numerator with the correct denominator. The factor you must choose is the same factor that won't be canceled out after you multiply the numerator by the common denominator. Otherwise you wouln't get the original fraction back. I suggest you look again @ 5:38

[remmyjable]

Thanks, but that's not what I was referring to. After you factor the denominator, one of the terms goes under A and the other goes under B. How do I know which term goes under A and which term goes under B?

For example, he had A/(x+5) + B/(x-8). Why couldn't it be A/(x-8) + B/(x+5) ?

[noblessus]

I assume that when you say "terms" you really mean "factors" right? Because we are placing factors, and not terms under A and B. Anyway, in such case, it does NOT matter under what you place them as long as you remember which one you chose to put under what numerator and dont interchange them in the middle of your calculations (since there is no algebra law that allows interchanging numerators in this way). Remember that (a+b)+c= a+(b+c), and that A and B are just placeholders. Hope this helps.

[arrooma]

it doesn't matter what to put under A or B .. they are just a name for constants ,,,

[wak83h702j8]

tnx,, this hepls me a lot,,,, XD

[c10seth]

I'm a Mechanical Engineering major and this was a very good brush up for my control systems class

[LTF85199]

thax Dr. khan was very helpful, i was doing inverse laplace and diffeq with this.

[ruselVPK]

Thanks! That's really good thing! I understood it! However at school i was sitting like an idiot!

[cbaby8x]

just what I needed!

clear explanations and step by step guide!

credits to this vid! Thanks!

[ilovepink8915]

i love your notation of the tool kit..haha..keep up the good work

[hulkhogan88888]

this makes my math classes much easier...and it's interesting too! thank you very much!

[silencedidgood]

I love the fact that you tell us Why you would do this later in Diffy Q.!

[LordTacohead]

You couldn't have done this last week? My calc class has a section on integration through partial fraction decomposition and I'd forgotten all my precalc. Oh well :-)

[bcskeptic]

It's like you're taking my pre-calc class with me! We just did conics the same time you uploaded all those, and we're doing these this week. Brilliant!

[undeadxazn]

ironically i was just going over this a couple days ago in a math textbook lol

[officialhopsof]

brilliant! been needing a good tutorial on this one. Can't wait until you get to more advanced problems using it. Thanks!

[rockYhre]

Great! Always glad to learn something new.

[Symphonion]

I am in the process of watching all your videos from the very beginning (I am only watching this one because I have subscribed to your channel and it popped up on my account), and even if I understand the first topics completely I still watch the videos just because it is such an enormous pleasure to see you explain stuff :) Thank you for being the greatest teacher I have ever had, Mr. Khan!

[clerlic]

Excellent!

[VeryAwesomeVids]

Great Job Sal.