Partial fraction expansion to evaluate integral | AP Calculus BC | Khan Academy

When you are integrating a function in the form of a fraction, it helps to find a way to break apart the expression.

AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test

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[jakekeith]

Your explanation made it click instantly. It didn't quite click in lecture, so of course..I came here to understand. Thank you, Sal.

[njabulomahlalela]

sal you good man! I'm gonna buy you a car after my mathematics degree

[Dantheman]

Thanks Sal, needed this refresher! If anybody reading this comment hasn't taken calculus, what are you waiting for? Best. Subject. Ever.

[alexanderdavidsoncarroll]

I found this explanation very helpful, I liked the intro of using long division.

[AlexVoxel]

Sal, thank you, You're an amazing teacher!

[BilalAhmed-vird]

man ! i'm addicted to your voice <3
And you are one of the great teacher i've ever met with :)

[RougeSamurai]

I LOVE YOUR VIDS I DONT FAIL AS MANY TESTS BECAUSE OF THEM :O

[ticktack]

Wow, helped me learn a 1hr lectures content in 5min

[ryancowan-malloy]

I missing the step that gets us from (A+B)x + (B-A) to A+B is equal to the coefficient of x and B-A is equal to the constant. How are we determining that?

[muralikrishnapadhy]

The audio is clear but not the video sir so u shld have tried to develop the video section. Any how I didnt get clear expaination bt thnku

[poincareelcartografo]

Couldn't it be done using the hyperbolic arctangent's derivative? In that case, the result will be x+Ln|x+1|+3arctangh(x)

[homesliceconnor]

the 38 people that disliked this video are english majors

[JaydentheMathGuy]

Yay! I saw this integral and then I said OH GOSH SAL YOU'RE ACTUALLY SERIOUS?? Then I watched it more and I was like

[ahmedcj]

thank you guys. you doing a great job <3

[NinjaKyou]

2:29 shouldnt it be higher degree in denominator?

[GetDookied]

at 7:20 it's A/x+1 and A is 5/2 so shouldnt be 5/2 *x+1/1 since you should mutiply by the reciprocal ?

[RECTmetal]

Woooo, I'm the 1000th like! Thanks for the video, you've made this much more clear for me.

[vintyprod]

Where does the term "1+" come from? 1:28

[y_p]

did anyone notice the iPhone ringtone in 4:40 ?

[mattchew]

So frustrating, just won't click. Can't remember the steps at all.