Absolute Value Integrals

In this video I explained how to integrate a function with argument containing absolute values.

[@Michael-dh7wf]

Engineer student here, you saved my life i have my calculus exam tomorrow

[@fenkabdulqadr6821]

Those who stop learning have stopped living 😍😍 Hey from Halabja Kurdistan n plz keep up that good job sir

[@mahmudvlogs8069]

Bruh u do math in a natural way Thanks a ton

[@jhbryann]

Thank you for such a thorough, clear explanation. I am taking AP Calculus BC as a rising Junior and this was very helpful. Have a great day!

[@PrimeNewtons]

Good luck!

[@RicardoPerez-zc4ej]

Gracias Sir. I am engenier and I enyoy a lot with your videos.

[@lakshya4876]

Bro💀💀☠️☠️😭😭😭

[@herayusuf6399]

Thanks a lot . I was struggling doing this type of intregrals . You made my day !!! Best of luck

[@KBM853]

Your videos have helped me gain confidence in calculus

[@user-gu2me2mi7t]

Hi Mr, thank you from Papua new Guinea 🇵🇬

[@PrimeNewtons]

Hello there!

[@killer_queen2314]

Hi sir one of your students here😁

[@PrimeNewtons]

Hello @Killer_Queen231

[@Zoooooooooooo]

Hi queen killer

[@wristocrat]

Sir, I am very thankful for the incredibly clear and logical explanations of the concepts. So many instructors prefer a muscle memory approach. This method makes it easier to apply the information.

[@RedManE36]

I was hoping this was going to be shown in the "long way", however the first part of splitting the equation into 2 individual equations with individual bounds helped answer my question and got you a like.

[@nurii3585]

you're the goat man

[@jmich7]

I love this guy.

[@punditgi]

Another excellent video! 😃

[@DIgitalEthiopia-12]

it's good teaching way

[@justinemulenga2778]

Nice explanation sir 🤝📚⚡

[@anonymous12540]

Thanx a lot Sir☺i am happy to have found this video after seaching for it for quite some time🙂Bravo!!

[@danielgresham9723]

I LOVE YOUR HAT. THIS VIDEO WAS SO AWESOME AND EDUCATIONAL. THANK YOU

[@PrimeNewtons]

Thanks

[@anythingandeverything3487]

You sir are a lifesaver

[@joshuaowolabi730]

This is just beautiful

[@terminator.co-]

you just made my day from your smiling🌼

[@juliovasquezdiaz2432]

Gracias por el vídeo. Me gustó. Saludos desde Perú

[@nopegaming2029]

thanks a million ! this helped me understand it more .

[@PrimeNewtons]

Glad it helped!

[@connorgriffith4664]

I love your energy

[@surendrakverma555]

Very good. Thanks Sir 🙏🙏🙏🙏🙏

[@spdas5942]

Really you are a good teacher. ❤ you from India.

[@MeshackNathan]

This was insightful,thank you so much sir

[@bignibba380]

your strategy for integrals is awesome! thanks for the tip

[@PrimeNewtons]

I appreciate that

[@Senn_S7]

Thank you very much for your instructive video ❤

[@tacitoaugustofarias7941]

EXCELENTE EXPLICAÇÃO.PARABÉNS. BRASIL

[@PrimeNewtons]

Thank you!

[@SamuelAjibade-ny3tu]

Thank you so much. Muchas gracias, senor❤

[@bishoyekramy3535]

you are very good keep it up

[@optimisticidea1721]

tnx sir,by the way your smile was so interesting. keep it u!

[@roselaswai628]

Thanks mwalimu, maths is enjoyable

[@KanoShampene-wi4qt]

i had no idea thank you

[@rihamission487]

Nice video brother. But the last 2 maths you showed were wrong. Because the functions are not even continuous over the concerned intervals. So they are not integrable and the fundamental theorem of calculus doesn’t apply here. Other than that, your handwriting on the blackboard was very satisfying and the method of evaluating the integrals you showed is gonna help me a lot. Thanks.

[@zerodegreescelsius]

Thank you!

[@user-il8mt2wz9t]

Highly appreciate excellent explanation. By rhe way, it will be better all math problems to be linked with real world stuff or real-life applications

[@LemanBeats]

thanks uncle 👍🏾

[@user-jw8wo1nc3l]

Well explained🙏🙏 congrats🎉

[@PrimeNewtons]

Thank you

[@arwin9191]

extraordinary

[@dlx0sh291]

I subscribe you keep going 😍🔥❤️

[@snakechips]

great video and nice hat

[@afifamyouni673]

there is 2 mistakes done in equation 2 and 3: in equ 2: x cannot be 0, so the condition should be x>0 in equ 3: x cannnot be 1, so the condition should be x>1

[@PrimeNewtons]

You are correct. I should have excluded 0 and 1 respectively

[@afifamyouni673]

@@PrimeNewtons i love this video, it came in the right time for me, because i have math test next month, thank you

[@yacoubakabore5838]

10/10 for explicat°

[@jalalgk2415]

legends are viewers ultra legends are subscribers 😍😍

[@palmtrees9474]

💓💪

[@user-gm7ub1yn2k]

謝謝！

[@PrimeNewtons]

Thank you

[@domanicmarcus2176]

I am curious how you got that x can be greater than or equal to 1, in the last example? Doesn't 1 cause a vertical asymptote at x equal to 1? Why didn't you take the limit as x approaches 1 from both sides?

[@jam9339]

this is cool

[@nicolascamargo8339]

Wow genial

[@DangNguyen-nl7rc]

Thanks a lot for your video, my exam is about to start in 5 hours. However, for example 3, since F(x)=(x-1)(x+2)/|x-1| is not continuous in the close interval (-2,4) because of x≠1, does the integral not exist?

[@PrimeNewtons]

Cancel out the (x-1) . The integral exists. That's a removable discontinuity

[@hqs9585]

5:54 why are you including in the second integral the value 3, I thought that X needs to be less than three not equal? Thanks. Mayb form -1 to 3+delta and then limit as delta goes to zero? Or else?

[@SamyakAditya]

Thanks

[@cwlevi]

Have U watched Dragon Ball Coz you make math Epic

[@jameyatesmauriat6116]

Can you please re-do the equations with the mistakes or refer me to similar videos of yours to show how to correct them?

[@jose_p_10]

Those who stop learning have stopped living I like that 🤔😁

[@azuce2860]

I have a question. In the second exercise, we have |x|(x^2+1)/x; and you mentioned that this expression is positive when x > or equal than 0, but what if x=0? Then we will have an indetermination of 0/0. I think that that expression is positive only when x>0 and not equal. Is this right?

[@PrimeNewtons]

You are correct. That was a criminal oversight

[@novierjohnabdallahyousefebrahe]

🥰🥰🥰

[@damianhunter5476]

What would you do if you had the absolute value of x times cos(nx) dx ? I'm not sure how you would seperate this and make 2 integrals of it. But anyways great video enjoyed it very much!

[@PrimeNewtons]

You will get that in advanced calculus. So, as far as calculus 2 is concerned, this video is sufficient.

[@mrbanana6464]

@@PrimeNewtons Damn I guess my calc teacher is giving us hard stuff on purpose because we are expected to find the integral from 0 to pi/2 of |8 sin(x) − 8 cos(2x)| dx

[@lunaTran-cl8is]

for some reason i got 50/3 on example 2?

[@PrimeNewtons]

Try going over each step of your work again. I'm sure you'll find your mistake. You should get -22/3

[@tsegazeabwendifraw713]

😊

[@Kenny-wp6wp]

Hi Professor !!!! I have a function with absolute value how can you please help me the following: f(x) = e^|x| + lnx I am asked to calculate . The direction of variation - infinity to + infinity . Definition domain . Calculate the straight line of equation . The equation of the tangent . The area of the function . Graphical representation

[@crxissant8595]

Very well explained, thank you for this sir!

[@jacksonmunthali9382]

Chimwela

[@kutlwanomokheseng]

funny how you can learn more from KZbin than in class, lol.

[@whisperingocean.]

There are so many ads in you videos, jeez

[@jumpman8282]

The second and third integrals are improper integrals, because the integrands are not defined over the domains of integration. However, in these cases the integrands are only discontinuous on a point, which means that their integrals can still be evaluated by taking the limits of the integrands at their respective points of discontinuity. For example, since 𝑓(𝑥) = 𝑥 ∕ 𝑥 is not defined for 𝑥 = 0, ∫[−1, 1] (𝑥 ∕ 𝑥)𝑑𝑥 is to be understood as lim 𝑎→0⁻ ∫[−1, 𝑎] (𝑥 ∕ 𝑥)𝑑𝑥 + lim 𝑏→0⁺ ∫[𝑏, 1] (𝑥 ∕ 𝑥)𝑑𝑥. I understand that this was not the topic of this video, but I still find it important enough not to gloss over.