Edexcel A level Maths: 11.4 Reverse Chain Rule (Integration)

[@ellen128]

You are probably the only one on the whole internet who has explained integration in a very intuitive and easy-to-understand way. Thank you!!!

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This man is saving our lives.

[@safeekhan4190]

I will never forgive the man that disliked this video

[@WowTooCool]

13 idiots have disliked this masterpiece

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@@WowTooCool being 3yrs bro

[@halohyyih6897]

😂

[@shutup-u5z6j]

This video is close to perfection for anyone who wants to learn this topic but still some idiots disliked it. That's a prime example that no matter how perfect you become, there will always be people who will hate you. That's a life lesson for you right there.

[@sarahsandy2204]

SOOOOO helpful!! PLEASE do stats and mechanics year 2 I am finding it hard :(

[@zeeshanzamurred9280]

Two more chapters of year 2 pure, then I’ll be moving onto year 2 statistics and mechanics 👍🏻

[@sarahsandy2204]

@@zeeshanzamurred9280 Thank you SOO MUCH!! you're too kind

[@Phantom_Kraken]

Me: [failing math] Zeeshan: “come this is no place to die”

[@lovelle5488]

Just found your videos and they are sooooooooo helpful, like i'm in a real classroom. Thank you so much for teaching us!!!!😭😭

[@tomwilkinson7783]

Dude you're actually a life saver😂 can you become my maths teacher?

[@shutup-u5z6j]

The only teacher in UK who teaches A level stuff in a way that it feels like he is teaching primary school kids. Making everything so simple and easy. And I think that's the only way I will understand A level maths😭😭😭

[@beenasalman5013]

Best teacher ever! Love the clear explanation, thank u!

[@DeKevers]

Absolutely insane stuff, thanks I now love integration

[@Jack-mk6vy]

Your videos are extremely helpful!! Thank you !!

[@albertsalimov7591]

Professionally executed and most helpful

[@sam_po6853]

this might be silly question, but where does the -2 come from in -2sin2x when you do dy/dx for the first question at 8:35? why would it not be 2cos2x?

[@googleit2321]

The minus sign comes from differentiating cosx. Differntial of cosx =-sinx and it's cos2x so you always multiply the number with x while differentiating, hence making -2sin2x . Hope that clears out ur confusion

[@sam_po6853]

@@googleit2321 thank you very much! Since posting my comment, I've become more confident in my integration skills ((:

[@teosydow3777]

Couldn’t the 6th question be form 1 if you apply tanx identity and make the integral negative?

[@hassanmadani5262]

Can you show us how to solve differential equations by integrating factor?

[@lilsels]

THANK YOUUUUUUUUUUUUUUUU

[@33_llby]

Thanks brother ❤️❤️❤️....your videos are life saver ❤️❤️❤️

[@Hello-ft6cz]

Great video bud!! 😍😍

[@Amanda-v1f8l]

THANK YOU SO MUCHH

[@guyguy1811]

I definitely prefer the u-sub approach of form 2 (especially regarding the last example question with the sqrt() on the bottom. I think for form 1 the approach makes sense but it becomes too much of an algorithm for form 2 and to me at least that is not how it should be.

[@guyguy1811]

Great video and really useful, especially for form 1 but I just think its better to understand each question and to use the u-sub, cancelling out terms.

[@fizasalim]

omds you’re too sick thankyou !!

[@_ozare9178]

how did u get -2sin2x from dy/dx of sin2x? 17:50

[@SM-gh2mv]

I think you mean at around 08:30, check what he set y equal to ---> y = ln (3 + 2cosx) then he finds dy/dx of that.

[@shutup-u5z6j]

9:54 what's the point of the rectangle, sir??😭😭😭 I just love his teaching.

[@seeyar3302]

THANKYOU

[@CephX_1]

The best of every video I've seen on net

[@outlaw4767]

best teacher even better than my school teacher

[@peerapongwattanthaweesin8304]

My man definitely nailed it, thanks

[@aayushimishra7528]

Great Expectation 👌👌👏👏👏👏

[@talabashar946]

shouldnt it be -2cos2x at 8:35 ? (differential of sin2x)

[@emaanqu123]

he's differentiating the 3+cos2x

[@talabashar946]

@@emaanqu123 right tyy

[@ilsucicek2799]

seriously thank u

[@DumisaneKuzwayo]

For no3 2hy did you say cot2x^2

[@CookieGal-]

Because originally it's cot2x^1, so f(x)^n+1 is cot2x^2

[@Omar-kp1ke]

MY GUYYY!!!!!!!!

[@ditidhutia4618]

hw do u integrate this question : integration of sec^2 x (1+tan^2 x)

[@zeeshanzamurred9280]

You can use integration by substitution. Set u= 1 + tan^2(x). Get the integral in terms of u; then integrate. The final step is to replace the u with 1 + tan^2(x). Don’t forget to include the constant of integration C.

[@ditidhutia4618]

Can u also use reverse chain rule ?

[@zeeshanzamurred9280]

Yes you can. You’ll have to expand the bracket and then use the reverse chain rule on the second term.

[@T_T_S]

Very clear explanation. Thank you sir.

[@FaizanA-mh4pd]

Sir what's the general rule for integrating A^x ? E.g integral of 2^4x

[@AbdulWahab-jf6iz]

For an equation where y= a^x 1)Take ln of both sides then take e of both sides but without cancelling the x terms side so giving u Y= e^ln|a^x| 2) using the natural logs rules we can change this equation to the form Y= e^xln|a| Now u see x is no longer a power of a within the brackets of ln but multiplied by ln|a| 3) it is not in a form we can differentiate and so dy/dx = ln a (e^xln|a|) Now we do the opposite of what we did initially and make x a power of a and cancel out ln and r so we r left with Dy/dx = ln a (a^x) We did all this to basically change an equation into a form we know how to differentiate then differentiate then simplify it back so in short If y= a^x Then, dy/dx = ln a (a^x)

[@JazzFusionEnjoyer]

Is there a quick way to differentiate the ln functions in this video as I have to do it letting u=x e.g

[@shouyouhinata4068]

this was really helpful thank you.

[@mdsayed6134]

love you brother thank you so so much!

[@zebunnessaahmed5018]

Thanks brother. You saved my time🙂

[@mikhailg4500]

thank you for this video it really helped me

[@ramyagururajan]

sir for the last question(example 4 ), why cant form 1 work?

[@shutup-u5z6j]

Sir, I am so jealous of your hairline, its so straight, Masha Allah

[@itachi6336]

Thanks

[@ehehrrhr]

hi sir , what happened to the 2x+1 in question 4?

[@moginger8018]

Very very juicy method zeehsan

[@noeltesfaye4607]

love ya sir

[@Nmarquis]

bro came in clutch

[@rhett-says-hullo4229]

afdshjfhj i can't believe i survived P3 and P4 integration for so long without knowing this. tysm this was extremely clear.

[@sa.ca5557]

Thank you king

[@xuanyidu3259]

thank you so much from an IB student

[@00_james]

i love you Zeeshan Zamurred

[@rchtr1617]

What a man

[@shabibanahar508]

how to integrate xe^x^2

[@zeeshanzamurred9280]

You can use integration by substitution. Your substitution would be u=x^2.

[@sosanmirafganahmad1391]

thank you, thank you, thank you, thank you, thank you, thank you *100000000000000

[@goshashubniakov30]

than k yuou very helpful! 🕋

[@Omar-kp1ke]

Do think you will finish the content before our exams

[@zeeshanzamurred9280]

Hopefully I should be done by then 👍🏻

[@Nathaneal51]

coronavirus: im about to end your career

[@pizzalover1790]

god bless you

[@salmaalqadadha4301]

drawing the rectangle step is a game changer 👁👄👁

[@sumayasiddiqua8109]

you should've done question 4 from the textbook

[@TheAviationChannel]

That intro makes me laugh every time

[@snipxhuntman]

Legend

[@noeltesfaye4607]

please reply to me sir i'm your biggest fan

[@zack5160]

exam is in 3 hours and im learning this

[@BobBob-gh7kh]

The absolute fucking goat

[@sampeevor6335]

Proof that not all heros wear capes

[@revisionnaire]

who is here ready for the first autumn a levels maths retake

[@TheGamer29z]

you should be my father

[@jonah3236]

Thanks