Integral of x/sqrt(x+1)

[@TheOrganicChemistryTutor]

Integration - Formula Sheet: bit.ly/3XCT6oz Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Exam Videos: www.patreon.com/MathScienceTutor

[@homeslice24]

Bro, I'll never look at integration by u-substitution the same again; the world needs educators like you have chosen to be. Thank you for sharing your knowledge and understanding of concepts.

[@christopherlucchesi2205]

Thank god for this channel. I’m trying to remember how to do certain forms of integration to do differential equations and linear algebra and this channel is helping me so much

[@alfredarie9160]

thank you so much, I’ve been struggling with this equation like forever

[@alastorbv5224]

Sin duda alguno es usted un gran profesor ... Aunque no entiendo el idioma, con los subtítulos me estaba guiando y entendí perfectamente un ejercicio que literalmente me llevo horas, muchas gracias es el mejor ❤️‍🩹

[@lumpstergash2380]

You make it so easy that elementary students can understand and you're talking about Calculus which is very hard.

[@nadirbaitsaleem7270]

Prepping for an Integration Gateway and this is the only type of question I couldn't get through, thank you!

[@raihanahmed4514]

My guy saves me in every subject

[@denisreyes9633]

Thank you very much, you have helped me, although I don't know much about your language

[@Perrier05]

Very interesting never seen a problem like this

[@anujsharma4255]

Love your work @India

[@NavyaMenon25]

easy learning all thanks to you sir!!

[@multiplefandomlover7179]

Thank you so much for helping me with this problem on my homework!!

[@maddiel9962]

Thank you so much! You honestly just saved my life

[@aymen2698]

u r fkn legend from 2020 baby

[@DarkKnight-ei5vg]

Thanks a lot👍😊 for the best explanation of this problem

[@Reena-m6z8e]

Thanks teacher

[@julianaribeiro7340]

you help me so much, thank you!

[@dimpalkumari4575]

Thanks for helping,

[@emanuelperuzzi3185]

I think that trig sub is even faster (tan^2 + 1 = sec^2)

[@amalthomas360]

Why did you mentioned it here🤔

[@bonusben3486]

i think setting u to be sqrt(x+1) saves a lot of time though, because you dont have to bother with the root anymore when integrating. it even allows to cancel the nominator: u=sqrt(x+1) dx=2u du ==> (u^2-1)/u * 2u du 2 [u^2-u] du this gives you the same result but theres less of a hassle with the root. or did you solve like this just to show a more universal approach?

[@Buddyl-_-l]

hello , can you solve the following antiderivate ? $$\int \frac{\mathrm{d}x}{x\sqrt{x^2+x+1}}$$

[@isratjahan2016]

Thank you so much.me also serach this equation 🥰

[@nakizitovanessa3489]

Integrate e x out of OnePlus e 2x dx

[@darkaliebaba99]

one tip: people that watch this probably now how to add to fractions together... other than that great vid

[@saherowda7775]

Alex van der Plas i agree. people who made it this far must have sharp algebra skills.

[@TerukiVAL]

how to solve for: x / (x-1)dx

[@alekharry2223]

how do you simplify it further?

[@amissdirge5722]

Using integration by parts and setting u=x and dv=1/sqrt(x+1) doesn't seem to yield the same result even though it seems like this equation could work perfectly fine with integration by parts. Is there any particular reason for this? As i'm quite confused.

[@ashistoxic8447]

3 years later and im still wondering this too. This equation seems to work perfectly fine with integration by parts

[@clearflow7925]

it's possible the answers are equal to each other but they just look different. If they're not equal at all when you type them on online calculators then idk

[@ebukaz]

what if it was "du/2"?

[@lisanalgaib7243]

Is it possible by using calculator

[@makestheyoutubeworldbetter]

Thanks sir 😂😂😂❤❤❤❤

[@sindhujar5233]

Thanks

[@jhkock6212]

Could this be done without u-sub?

[@casperryde9602]

Thank you! Very usefull!

[@purnimadaspuja8632]

Thank you sir

[@anshikasrivastava2490]

Thank you

[@economicswithshiva327]

If x is in the root

[@franzjanganieribarbosa4114]

Whoa, that helped a lot!

[@hatrangg2030]

Why dont u just put it why √x+1 = t tho

[@tourushi9137]

Thank you!~

[@dheerajprajapati776]

Thankyou sir

[@ryu7291]

Thank you!!

[@vinzzzy42]

thank you sir :)

[@narimenema7218]

What abt x/√x ?

[@anuj6936]

x/√x = √x into √x/√x = √x or x½

[@mukundagarwal7155]

You just complicated it

[@zikondenyirenda]

Omg!! Thanks.

[@gmkhn66]

wtf

[@deserteagle3004]

are you a human

[@arjay_2002]

can you speak louder

[@swamiyoda8926]

First comment + first like muahahaha