Calculus 1 integrals techniques

[@allannunez9464]

| -YAY! |

[@OonHan]

misotanni -YAY! means -(YAY!)

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By convention, YAY! is always positive.

[@15schaa]

Mr Stark, I don't feel so good... *|Spiderman|* Never mind, I'm fine now.

[@JaydentheMathGuy]

lol

[@JaydentheMathGuy]

@@15schaa lol

[@FourthDerivative]

For the derivative we used the Chen Lu, so naturally for the integral we must use the u-lneh + C

[@krukowstudios3686]

9:11 “... but I like u” I like you too, blackpenredpen :D

[@blackpenredpen]

Krukow Studios thank you!!!

[@slayer8273]

@@blackpenredpen Don't know if you'll read this, but thanks A LOT for putting out all of this great content for free ! We have a horrible maths teacher who let us learn u-sub, partial and partial fraction within 9 lessons and wants to make an exam about it after only 12 lessons. You're literally saving my life

[@JUSTREGULARSCREAMINGAAHH]

"And that kids, is how i met your mother"

[@btdpro752]

If you stop KZbin please don't delete your channel. It's simply amazing.

[@blackpenredpen]

Btd Pro yay!!

[@JUSTREGULARSCREAMINGAAHH]

He's not stopping 😁

[@EssentialsOfMath]

You are forgetting the most important integration technique: Wolfram alpha

[@blackpenredpen]

Essentials Of Math darn!!!! How could I forget about that!!!

[@ianmoseley9910]

Essentials Of Math Does not help you understand what is happening

[@EssentialsOfMath]

Ian moseley I know, it was a joke :P

[@OonHan]

It cant help you in your homewor if you dont have a premium subscription (to wolfram alpha.. and possibly bprp)

[@blackpenredpen]

Oon Han lol

[@NeptuneStudios32]

Thank you for breaking down the U-Substitution Method! That has been the most confusing and hardest concept for me to wrap my mind around. But by explaining it as an "X-World" and a "U-World" , made it so much more easier to understand. Thank you again ^_^ !

[@MathForLife]

FIRST! Calc 2 with blackpenredpen was AMAZING:D

[@blackpenredpen]

MathForLife thank you max!!

[@MathForLife]

@@blackpenredpen my favorite part was solving THE COOLEST integrals with other people. It was a really good idea.

[@blackpenredpen]

MathForLife glad you liked it!!

[@holyshit922]

Know Your derivatives 3) can be calculaten using pythagorean identity and integration by parts 5) can be calculated by substitution so we dont have to memorize them

[@h4c_18]

The integral 2 can also be -arctan(1/x)+C after doing x=1/u dx=-du/u^2

[@complex314i]

I teach four simple types of integrals to my classes before covering more involved techniques. Basic Type 1: Power Rule for Integrals Basic Type 2: If (d/dx)f(x) = n*f(x), n is a number, then the antideruvative of f(x) = (1/n)*f(x)+c. Or if the derivative ONLY multiplies your function by a number then the antiderivative divides your function by the same number. Basic Type 3: If you have a ratio, ask "Is the top the derivative of the bottom?" If yes, then the antiderivative of the ratio is ln(|bottom|)+c (I see no obvious composition in g'(x)/g(x) to indicate u sub. Recognizing the logarithmic derivative form (d/dx)ln(|g(x)|) = g'(x)/g(x) and reversing it negates the need for u sub) Badic Type 4: Known Derivative: recognize you have the derivative of something and reverse it such as cos(x) is (d/dx) sin(x). So the antiderivative of cos(x) must be sin(x)+c

[@deveshthakur1938]

You're great bro....

[@japotillor]

I'll be using these with my students for AB and BC.

[@blackpenredpen]

Joe Potillor yay! Thank you!

[@quantumcity6679]

I like your presentation about any mathamatical expression. 😁 !!!!! Yeah !!!! @ Keep it up @

[@blackpenredpen]

Asteroid Melroy thank you!!!!

[@anthonytam1803]

#YAY for the teacher of the year!!!

[@anasalbarghouthy2485]

I really enjoy your videos, unlike most math videos on the internet. Keep it up ❤❤❤❤

[@blackpenredpen]

Anas Barg thank you!!!

[@reddkgaming8672]

Im watching this in 2023 now, its so helpful for the pure maths section of A levels. Hopefully you can break down some exam questions from Edexel

[@isaacaguilar5642]

I’m in calc 1 but we haven’t done integration yet but i can solve all of these extremely easily because of you

[@PinkRidingHood97]

love your videos! You are awesome!!

[@debanjanbose4564]

Loved ❤️❤️❤️your teaching style that you first solve the exactly we are thinking then you prove it wrong because it is just based on our unclear concepts and myths ... After watching your videos I am able to solve a lot of questions due to your videos ...Thanks a lot 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

[@XESolar]

Tell Chen Lu I say hi! Good to see him again.

[@ehatipo4598]

An immense thank you! You're simply amazing.

[@markgraham2312]

You should have 1,000,000 views!

[@stevenfu2330]

I need that T-shirt!! Yay!!

[@blackpenredpen]

Steven Fu : )

[@stevenfu2330]

blackpenredpen where can I get it 😍

[@silentintegrals9104]

Great Video! Solving integrals is allways fun!

[@nuji8942]

YAY! I want that shirt :o BlackPenRedPen squad!

[@blackpenredpen]

Dominique Manga yay : )

[@vectorie6195]

Hey thank you so much from morocco

[@alse72]

ft. Reverse Chen Lu

[@ouroboros7388]

Thank you a lot!!

[@matthewstevens340]

Finally some integrals!

[@silentintegrals9104]

yes, solving integrals is allways fun :-)

[@erikkjellberg4806]

Undo the Chen Lu!

[@colleen9493]

9:10 BEST PUN EVER!!!!

[@richoneplanet7561]

8:46 u substitution

[@04ArturoR]

Que buen video! Saludos desde México!

[@tb2748]

11:57 - why can multiply both sides by dx as if du/dx is a fraction?

[@sarthakjalota4856]

T B its Not a Fraction but it’s more of a operation acting on a function

[@mirograndemirol7909]

gostei muito do video, continue mais com muita força, bom trabalho.

[@romanbykov5922]

I shared your video with my cat :)

[@blackpenredpen]

Roman Bykov yay!!!

[@andrewdotsonexplains6948]

If you don't mind, someday I'd love for you to upload a video on Contour Integrals

[@HOWardLIA]

Or square yourself, that can also makes you positive 😏😏

[@blackpenredpen]

Yup!

[@jeffburdette2025]

Who wants to be square

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HOWardLIA unless you're not real

[@hyunwoopark9241]

-i ???

[@helloitsme7553]

Hyunwoo Park or i doesnt matter

[@seanhunter111]

@blackpenredpen Thanks so much for all this content - I find it extremely helpful. Do you have a new link to the worksheet? The one in the description is broken now.

[@killihanma3146]

In the last U-substitution, can we resolve the integration using the x-world ?

[@saioh1080]

You are insane Bro

[@hichamayada1877]

Could you explain the function f(x)=(1+1/x)^x please I will be greatful

[@tatjanagobold2810]

Haha that absolute value theorem is like a real quote, going to use it some time in the future :D thanks for the great video :)

[@blackpenredpen]

: ) Thank you!!

[@jimallysonnevado3973]

How about integration by parts

[@blackpenredpen]

I have tons of videos on them already. Check my calc2 playlists. : )

[@gameaspiring3358]

do you have a video for double integral and centroid,moment of inertia?

[@aqueelahmedvallanchira221]

Can we integrate 1/(tan^-1(x) by u substitution? If yes can u pls show me?

[@karanchowdhary5969]

Sir can you solve one sum for me. My sum is prove that mean kinetic energy of a particle of mass m moving under a constant force;in any interval of time,is 1/6(u1sqare+u1u2+u2square), where u1and u2 are initial and final velocities. Show that it is greater than the kinetic energy at the middle of interval and less than that when the particle is half way.

[@Kingkong34002]

Please can you do a video only for intergration of powers

[@andrewsmitley]

When you are using chain rule on integration, do you take the derivative of the inside still or the antiderivative?

[@Absilicon]

So you'll be covering a calc 2 series in the future. That's great because I only know stuff from calc 1, can't wait for your future vids 😊

[@blackpenredpen]

Abidur Rahman I have videos on those already. Check my playlists :)

[@istvanszennai5209]

you should have mentioned integration by parts; it’s just as useful as these

[@BlazingBrinex]

I actually created those method on my desk :0

[@JesusMartinez-kq8ze]

Integral of 1/(1+x^3)

[@МихаилДиденко-е5ж]

It is equal to ln(x+1)/3 - ln[((x-1/2)^2)+3/4]/6 + sqrt(3)*atan[2*sqrt(3)*(x-1/2)/3]/3 + C.

[@МихаилДиденко-е5ж]

kzbin.info/www/bejne/q4SsfKawo6loo9k

[@JesusMartinez-kq8ze]

@@МихаилДиденко-е5ж guau thanks bro!!❤❤

[@rocketboy352]

Calc 2 next?

[@bernardlemaitre4701]

arcsin (x) with |x| > 1 ?

[@ameerhamza3365]

Why wo do not add C in derivative?

[@admink8662]

|Be Positive~!| Yay~

[@Hobbit183]

Im intressted to hear more about the ''u-world''. Does it have to do with something about linear transformation?

[@polaris_babylon]

Fredde I think is just the change of variable, cause these aren't miltivalued functions...

[@Hobbit183]

But lets consider this: The vector [dx; 0]=[dx/du , 0; 0, 1]*[du; 0]. So the length of vector [dx; 0] is related to the length of vector [du; 0] with the determinant of [dx/du, 0; 0, 1] as a scaling factor of [du; 0]. In other words dx=(dx/du)*du :> (or ?)

[@polaris_babylon]

Fredde I'm ignorant about vector calculus, have you seen the 3Blue1Brown channel?

[@kingbeauregard]

Can you do a video about complex numbers sometime? What I mean is this. The way I see it, math is a system of symbols and operations that very often (but not always) find useful applications in the real world. Some elements of math directly correlate to the real world, for example the number "3" can clearly represent 3 apples. Negative numbers don't directly correlate -- I've never seen negative apples -- but they represent a concept like "fewer apples", which is not too difficult to understand. But what about complex numbers: do they represent anything in the real world? Or are they simply a concept in mathematics that happens to be useful in deriving real-world results, but themselves have no representation in the real world?

[@frankharr9466]

Well, U2 is a good band and a great airplane.

[@aneecraft2350]

I think you deserve about e^πi+2ⁿ where n goes to infinity subscribers

[@MrKhan-dw9vh]

#Yay! #Yay! #Yay! #Yay! #Yay! #Yay! #Yay! #Yay! #Yay! #Yay!

[@saitaro]

A year ago I started using psychological tricks from this guy. Now I'm in an asylum. Integrating.

[@MusicalInquisit]

Why am I watching this? I'm not even in a calc 1 class.

[@matefixfix1338]

Buen video

[@leonardorivera3591]

I'm student from IPN

[@ianmoseley9910]

knowing your derivative is not easy for those of us with poor memories!😔

[@manthansunilhalarnkar]

Yay!

[@polaris_babylon]

U World is #YAY

[@blackpenredpen]

☆ yay!

[@Pineapplecake]

9:10 I like you too!

[@15schaa]

Aww, I like u, too. #yay!

[@jackgamingrs6792]

Sir the 16 min felt like 1 min

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8:59 i like you too hehehe

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- (me) --> - |me| = -me Shit

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[@blackpenredpen]

Oon Han yay!!

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