Calculus SPEEDRUN (U-Sub)!!

How To Perform A U-Substitution In 60 Seconds!! #Math #Calculus #Integration #College #NicholasGKK #Shorts

[wolfiegames]

Nah, true chads make it the integral of x^2 + 4x + 4 to get x^3/3 + 2x^2 + 4x + C

[jorgegarza]

Calculus is like a Minecraft tutorial it starts off nice, and then the problem immediately starts using 335.67 different letters

[SebastianRodriguez-rkvx]

This is a simpler problem that doesn’t require substitution, but does a good job explaining the overall concept

[jtris]

You don't even need u-sub. Its a linear function with coefficient of 1, so du will just equal dx.

[DeadlyBlaze]

kid named reverse chain rule then divide by derivative:

[gabrielfoos]

you don't even need to use substitution for such a simple problem like this, just know that for (x+a)^n, with a being a constant and n being a whole number(negative or positive integer, both work), by integrating you always get [(x+a)^n+1]/(n+1), it's just a simple derivative

[crazyabchackerakatechanima]

My maths teacher always used to tell me that if it's a linear function in x then integrate it as you would just f(x) then divide by coefficient of x

[yyyyyk]

If this channel existed when I was preparing for my calculus exams 20 years ago, I think I would have gotten much better grades!...

But YouTube ITSELF wasn't launched until 2005, so YouTube didn't exist at all when I was in university.

Thanks for making me feel old. 😜
No, but seriously, thanks for these videos!
You must be helping the next generation.

[thebluebeyond]

Some people need long solutions and some don’t. This helped with integration of (a-x)^-2. Thank you.

[NataliesBalletFolklorico]

Thank u 😭I've been trying to figure out the step after getting the u 😭

[chrissystewart]

I never learned this in school this is my first time

[alejrandom]

In general, integral of
f(ax+b) = (1/a)*F(ax+b)

[Gareth.]

Just use the reverse chain, substitution is not needed for problems like these

[mndtr]

Simplier without sub because we always can add const in differential: dx = d(x + const)

[ddhjcfesg]

dx = d(x+2)=dt
Int (x+2)dx = (x+2)^2/2 + const

[Def_not_a_depressed_dood]

My prof will give an "❌" for that answer

[laschelimette]

Thank you very much, I was stuck on a problem like this today :D very good short!

[jacobstarr]

du=dx so u sub isn’t necessary so you get 1/3(x+2)^3 +C or just expand it like normal people.

[hydropage]

Not a speedrun at all. Just notice the derivative of that is 1, then treat (x + 2) as if it was what you’re integrating, and (1/3)(x + 2)^3. Should take you 1 or 2 seconds to solve

[LanhNguyen-ymuf]

Using the second fundamental theorem of calculus is clearer, just find the derivative of (x+2), which is 1, then mould it properly. Then you get the answer