_-substitution intro | AP Calculus AB | Khan Academy

Using u-substitution to find the anti-derivative of a function. Seeing that u-substitution is the inverse of the chain rule. Created by Sal Khan.

AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.

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[an]

can i do a you-substitution to replace my calc prof?

[omgflyingbanana]

FOR PEOPLE ASKING WHERE THE DU WENT:
Derivatives and integrals are inverse functions, so they cancel each other out. When you INTEGRATE a DERIVATIVE (which is du) it cancels du out.

[xXxMETALISFOREVERxXx]

you just explained in 5 minutes what took my professor 2 class periods( 5 hours). I thank you.

[kmcn]

You are literally the only reason why I'm surviving 32 credit hours per semester.

[ChadBase]

By far the best explanation of this concept on youtube

[MrNate]

Should've liked this video a year ago when I actually watched it. This is a great channel btw ty guys.

[jabs]

11 Years later, this is still one of the best math tutorial videos out there

[umarpatel]

Personally, AP Calculus AB was easy for me this year except for this topic. But like usual, Sal makes it so much more easier. Thanks man, years from now I'm going to be thinking about my high school years and appreciating how much you've helped me in chemistry, physics, and maths. You're the GOAT

[aishaazeemah]

People forever asking me how I study... THIS...
Thank you Khan Academy :)

[HD_Simplicityy]

Brilliant. This shows this concept so well. 

[tiffytiffy]

These videos rock!!!! Merely stating the obvious :)

[jumperluk]

...this is equal to u.
That pun made me feel so integrated...
omg... Pun-ception

[maheereza]

Thank you so much sir, it cleared up a lot of my confusions, God bless you

[MTBkid]

so does du just go away because it is part of undoing the chain rule?

[austinearp]

Professors spend 2-3 class periods talking about one concept and people still don't get it (I'm people.) Then I watch a 5 minute video from you and it's easy.

[gabrielchatman]

For me it's simple look
The primitive of ue^u ' is e^(u) so you just have to replace

[awesomeg]

but what if the integrand lacks a factor x needed for du??

[jemcel]

Why DU vanishes? It's simply because you are integrating the given equation already.

[omarmamood]

The derivative of an exponent is the exponent times it's power's derivative so the integral will be e^(x^3 + x^2)

[ndoloresw]

why can’t my teacher explain it this well