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

@k_wl

Жыл бұрын

fact

@m.guypirate6900

Жыл бұрын

now do that for (x+2)^20

@saturapt3229

Жыл бұрын

@@m.guypirate6900 same stuff u gotta calculate in the end anyway

@violintegral

Жыл бұрын

@@saturapt3229 no it isn't lol

@gabrielfoos9393

Жыл бұрын

Just use Pascal’s triangle lmao but good luck finding the coefficients

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

@CosmicConvict1

7 ай бұрын

Exactly, I was like, Ok, Ok, yeah that makes sense ... WHAT THE F***

@damontayy1272

7 ай бұрын

that's because you're focusing on how the teacher solves a problem and not focusing on the formula. When you familiarize the formula, all you have to do is substitute variables and simplify it with basic algebra. The biggest problem is if you take a calculus course without mastery in algebra.

@jorgegarza4172

7 ай бұрын

@@damontayy1272 Calculus has so many formulas, memorizing them isn’t gonna help, you need to physically imbed the fundamental concepts into your mind to familiarize the other concepts

@damontayy1272

7 ай бұрын

@@jorgegarza4172 I know. But guess what, you have to do hard shit to be able to amount to something. Your professor won't change the syllabus, you have to comply or shift to culinary school.

@VIKTORSCHAUBERGERscammersONyt

5 ай бұрын

That is a common fallacy and the way it is taught. It is a failure as John Gabriel has shown clearly on his New Calculus channel. This is amazingly simple process and so much saving. This channel shouldd give up their name because he provides nothing but fast answers while New Calc channel does this with the process and the answers come simply. @@jorgegarza4172

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

@SuperStudiousman

2 ай бұрын

It took me 5 seconds to do it

@mc-qasim5182

Ай бұрын

Took me just a flich​@@SuperStudiousman

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

@leo_1304

7 ай бұрын

i think the point was for it to be an easy application of U sub. to make it easier to understand for beginners

@jacobstarr9010

6 ай бұрын

Yeah but u sub is easier in this case

@helphowdoinputusername3571

5 ай бұрын

That's a shortcut for u-sub that only works in special cases. So when you use that shortcut, you _are_ using u-sub. Just like how the method of evaluating rational limits at infinity is just a shortcut for L'Hopital's Rule that only works for certain types of rational/radical functions. But yes, you're right, you don't explicitly have to do the working for it, but this channel was made for beginners.

@VIKTORSCHAUBERGERscammersONyt

5 ай бұрын

Exactly, That is a common fallacy and the way it is taught. It is a failure as John Gabriel has shown clearly on his New Calculus channel. This is amazingly simple process and so much saving. This channel shouldd give up their name because he provides nothing but fast answers while New Calc channel does this with the process and the answers come simply. No more unnecessary steps as part of a long and tedius process.

@Whyyoineedahendle

5 ай бұрын

Yeah but when co efficient isn’t 1?

kid named reverse chain rule then divide by derivative:

@XanderAnimations

9 ай бұрын

derivative named kid:

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

@HeyKevinYT

Жыл бұрын

i'm sorry but my inner calculus is screaming PLUS CEE

@angelofelisimolacruz1462

Жыл бұрын

Correct. [(ax + b)⁽ⁿ ⁺ ¹⁾]′ = a(n + 1)(ax + b)ⁿ How would you answer the next question: ● Find the primitive function F(x) (i.e. F(x)= ∫f(x)dx) of f(x) = (ax + b)ⁿ (‼️whithout using the standard list of primitive functions.‼️) where x is in the Domain D ⊆ ℝ of f and n ∈ ℤ.

@asparkdeity8717

11 ай бұрын

That is just because of the use of a U-Sub implicitly, this shows out the steps for that formula. Don’t remember a formula blindly without understanding it’s derivation

@mainsera4407

11 ай бұрын

I’m pretty sure that’s already what U substitution is, it’s just giving a formulaic way of solving it.

Me watching this:-😵‍💫😵‍💫

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

@Pankaw

Жыл бұрын

yup, because if ∫ f(x) dx = F(x) + c then ∫ f(ax+b) dx {u=ax+b, du= a*dx, dx=du/a} = ∫ f(u) (du/a) = (1/a) ∫ f(u) du = F(u)/a + c = F(ax+b)/a + c

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 KZread ITSELF wasn't launched until 2005, so KZread 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.

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

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

@_hassannnnn

Жыл бұрын

Are you in high school?

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

@andreasgschiel8111

11 ай бұрын

Me too

You are the good Physicist!

Everything on KZread calculus makes sense BUT when I get in class I’m dumb 😊

i found it before the video even started

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

Okay so this helped me A LOT. Coming back to school (2 yrs) after being sent across seas and been thrown into a calc 2 class… I remember some things but the really helped me out!!

idk why i but i lowkey find u sub fun and interesting to learn

Thanks!!!!

Thank you

Now integrate √(x²+2x)

@-Accent_7

6 ай бұрын

2/3 * 1/2x+2 *(x^2+2x)^3/2

thanks bro

Please make more of these

You're the best rapping in math explaining congrats

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

Ok ok i subscribed. U earned it!❤

I did a question like this in the same way coz my dumbass forgot there is a simpler rule for linear equation with exponents

@ccbgaming6994

Жыл бұрын

Don’t memorize, think

Why is bro making this simple problem so complex? 😂

Oh I just develop the square of the binomial and integrate every term, but your metod it's Very good, if it is something basic, it should be noted that I am just learning to derive/integrate, so I don't know a lot of

Wait till trigo functions get involved

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

"first we need to find you" PLEASE DON'T FIND ME!! I HAVE A FAMILY!!!!

just expand the x+2 to get the integral of x²+4x+4

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

@angelofelisimolacruz1462

Жыл бұрын

Question: Is the reverse chain implicitly the u-sub approach?

@ccbgaming6994

Жыл бұрын

U-sub is the reverse chain lol

The multiplying of both sides by dx caused me physical pain... smh

@leokraus8925

Жыл бұрын

Why?

“I don't integrate the question, l differentiate the options” ~Ме

I never learned this in school this is my first time

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

n i c e

or just write it as the derivate of ((x+2)^2)/2 so thats about it , u sub is used for problems that are so easy to use just directly

yeah I'm taking AP Calc AB next year and It is wraps.

Man just add one to the power and divide by the new added power man making it so hard

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

It’s tough for me figuring out what “u” is

Just use reverse chain rule, and you find out that you divide by 1 (because of the coefficient of x), so you simply have to use the reverse power rule.

@carultch

5 ай бұрын

That's what u-substitution is.

Math is so difficult nai nai nai nai nai nai nai nai nai nai nai nai nai nai nai nai nai nai nai nai nai nai nai nai 😢

Day 1: Manifesting Desire Day 2:

For this specific method, we can just simply use antiderivative.

There is no need for u sub. Make the 2 a then take that number flip it as if it was a fraction and multiply it to the front. Add c ofc.

Sometimes U-sub is helpful sometimes it's superfluous.

Just expand the bracket and integrate lol

i like u

I sub

I did calculus and the moment this all made sense was when I realised theirs who du de dx bullshit was what was confusing me😂

Like in chain rule in differentiation when you multiply the derivative Why not divide the derivative in integration in this problem

3) 2 (2x)dx = ∫ [ f(x)] 2 f ′(x)dx = 1 3 ∫ [ f(x)] 3 + c = 1 3 (x2 + 3) 3 + c

Where does the two other dx in the du=dx come from?

No need for substitution.

t²dt = t³/3 = (x+2)³/3

Math was easy before meeting calculas😂

holy crab

wow.. though there's a short way out to tackle it

we still can't solve the integral of some basic mathematical functions For example, although we can calculate the result of the integral e^sin(x) dx numerically, we cannot express it symbolically. Mathematics is not a science, it is a language. #math #mathematics #integral #sinus #cosinus

Isn't this more useful when numerator is the derivative of the denominator?

Plenty of alternatives. If you really wanted to waste your time, this can be done by parts.

Just (x+2)^3/3+C

People will hate on me for this but i do not care. I never liked U sub and never will. I understand the concept and instead just solve the integral using the tabular table instead.

how did I get here... what the fuck is an integral?

You didn't need the du/dx, you could directly go ahead and substitute the u for x+2 and still get the same answer at the end. You made it way more complicated than it qctually is dude.

@420sakura1

6 ай бұрын

My fellow idiot. You need to substitute dx with du. That's why he did ask the calculation.

(x+2)³/3 is right but not easy to calculate when x number

(ax+b)^n has a formula use it

I forego the u sub and just perform the operation

@timeonly1401

Жыл бұрын

Yes, but what if the integrand were (x+2)^137 ?. Or, worse still, if it were (x+2)^(3/5) ? Good luck raising (x+2) to the 137th power, or to some fractional power.... 😃😃 With u-sub, the problem is done exactly the same way: use power rule, then back-sub.

What I tell my students:. U-sub is the Swiss army knife of integration techniques! 😃

@VIKTORSCHAUBERGERscammersONyt

5 ай бұрын

This is because you were taught one way as you teach only one way. As if it were the only way. Sadly it's the only way you know and you provide so little worth to your students while you mimmic parrot as a career. Hero to no one.

If derivative of inner function is 1, no need to do u sub

But you can just expand lol

linear inside so (x+2)^3/3 works no?

In normal way, by expanding (x+2) ^2 and integrating we get : ((x^3) +(12x) +(6(x^2))) /3 But through substitution method : ((x^3) +8+12x+(6(x^2)) ) /3 An additional 8 is coming!!!!!! Iam so confused. Can anyone explain plz 😢!!

It's genuinely easier to just do it as it is

@marklgarcia

Ай бұрын

True, but this is a good demonstration of using substitution to solve the integral.

Can you please tell us this real world use

U don’t need u sub just do it in ur head it’s easy

what is this pre calc

just use the power rule bro

Just reverse chain rule?

What the fuck is that "C" in the last step??

Can you pls explain where did U come from?

@420sakura1

6 ай бұрын

It's just a placeholder to make the calculation simpler.

@vaishalikarande3246

6 ай бұрын

@@420sakura1 Thank you! Ohh so it doesn’t have any value it’s just like a bracket? (Me don’t know anything me in 8th st.)

@420sakura1

6 ай бұрын

@@vaishalikarande3246 don't worry, you will learnt all these and more in 2-4 years. Remember the derivative and integrals by heart. It is essential in Univeruty regardless which stream you choose.

@swati7267

6 ай бұрын

Thank you so much for your fast reply and tips 😊😊!!

Not possible this answer check differentiate the integrated answer

Just use reverse chain rule it’s faster

@noahali-origamiandmore2050

Жыл бұрын

I can't believe that I finally found someone who said this. I hate it so much when people use u-sub for such simple integrals like this one.

@durul-ny6ig

Жыл бұрын

its the same

@Pankaw

Жыл бұрын

reverse chain rule is just the consequence of a u-sub that always works: if ∫ f(x) dx = F(x), then: ∫ f(ax+b) dx {u=ax+b, du= a*dx, dx=du/a} = ∫ f(u) (du/a) = (1/a) ∫ f(u) du = F(u)/a = F(ax+b)/a see

@ccbgaming6994

Жыл бұрын

They are the same thing lol

U was completely unnecessary lol, this is just the power rule of anti derivatives

U-sub? More like “U deserve more subs!” 👍

@gamerfanletsplay9302

Жыл бұрын

So bad

@PunmasterSTP

Жыл бұрын

@@gamerfanletsplay9302 Then my work here is done. But if you ever want to hear a pun on a particular topic, just let me know and LetsPlay!

S (x+2)² = S x² + 2² + 4x S [x²] + (S [2²] = 0) + S [4x] S [X²+2x] = X³/3 + 4 What did I do wrong?

Calculus seems so difficult, like what is this even for fr

@lanardrops6795

Жыл бұрын

Give it time once you get into more advanced math you will realize how everything connects

@nickronca1562

Жыл бұрын

This is like one of the most basic integral questions, what are you talking about?

@Zane_Ritchie

Жыл бұрын

@@nickronca1562 I just don’t know, like what is it for

@nickronca1562

Жыл бұрын

@@Zane_Ritchie Integrals are for finding the area under the curve of some arbitrary function f(x).

@rishabtirupathi9431

Жыл бұрын

For example if you have the speed function of some object, you can get its distance

As a beginner ,why can’t we use the (a+b)^2 identity and then integrate each function separately?

@unexpectediteminbaggingare8074

8 ай бұрын

correct, im puzzled why they have chosen this way

@redfalconsmdx

6 ай бұрын

You can. Integral may have different forms of answers but if you were asked to find a limit. They would all be the same

@syed3344

5 ай бұрын

U can,the answer will be the same But the susbtituing approach is simple

Why use a U substitution? its a simple derivative?

I'm in 8th grade but I was screaming saying just evaluate the integral as it is omg no need to use U Substitution for an equation like this

What is a derivative

why didn't you use ∫(ax+b)^n dx=[(ax+b)^n+1/(n+1).a] +c

if this is how u americans be doing calculus, no wonder you guys find it so hard 💀

@karpholmes6942

Жыл бұрын

?

@marohan

Жыл бұрын

That is why we are good at it more like it

@ccbgaming6994

Жыл бұрын

Americans?

Da hail?

Where did c come from please

@daviddaasian9685

Ай бұрын

It's normally added at the end of an answer of an integral problem. One of the most fundamental rules of solving integral problems.

wat