This is how we partial fraction, repeated linear roots, 'cover-up method'

Here's the explanation on why and how the cover-up method for partial fractions works! Really helpful and quick!

blackpenredpen,
math for fun,
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[MattMcIrvin]

You know, I got through a physics/math double major and a physics PhD, did integrals all the time, and I confess this is the one standard integration technique from AP Calculus that I never could entirely understand or, consequently, remember. You just explained it.

[gordonglenn]

I love the cover-up method, and enjoyed your explanation of WHY it works.

[mjones]

This, sir, is why you are such a stud! Nice method and nice explanation.

[firstcomesrock]

this is the best video for partial fractions that didnt drone on for 30 mins

[ZamanAristoOrCleon]

Sir, you have saved my math grades for countless years! Thank you once again!

[israeltrejogonzalez]

This and the video about why you did B/x+2 just blew my mind. You're amazing!!!

[Twenty_Four_]

your the best dude....you have no idea how much time you just saved me

[RedCoastLab]

This is amazing! I wish I had seen this during my calc classes

[jvantes]

Youu are a very admirable teacher!! I love your calculus tutorials

[shashidharnrao]

The young gentleman is absolutely brilliant in his teaching.

[riuzne_]

I'm amazed at how he changes the colours

[saimumsultan]

Thanks a lot. Thanks a lot. Thank you. Thank you very much. You dont know how much u helped me now. I will always remember u for helping me out. (Tomorrow is my exam). And i really couldnt work the thing out myself.

[darrenbundak]

Thank you good sir. You have saved me soo much.

[gravityfalls]

Thank you bprp
I know this trick but didn't knew about proof

[jacobyarnell]

Flexin' with the supreme jacket lmao

[Namansinghbagheloffi]

Really Thank You Sir Love From India ♥️

[japotillor]

Pretty much the same as 1 = A(X+2)^2 + B(X+1)(X+2) + C(X+1), and zero out the terms, or pick an easy number to set up a system of equations to solve for A, B, C...

[TefJLives]

An easier way to get B=-1, with complex analysis: if you integrate around a big circle of radius R, the length of the circle is 2 Pi R but the integrand is basically 1/R^3, so the integral goes to 0 as R to infinity. This means that the sum of the residues must be 0, so A+B = 0.

[nikhilsen]

How perfectly you switch between black pen and red pen...I mean just wow... :D
Is this the reason behind the name blackpenredpen ?

[zerglingsking]

I always did complicated systems for these... Now I will do it 10 times faster for the linear ones ! :D