Pure 4 Chapter 6 Integration for A-level Mathematics

[@sabirl9232]

43:04 the way you let your students do it the wrong way and showed them the right method is, FANTASTIC. your students are lucky

[@vickie1805]

I love love love how you teach Integration by Parts with drawing a magic square and a 7. That's such a helpful trick to remember. Thank you!

[@MindfulMaths]

@@vickie1805 my maths teacher taught me that when I was at school and I always loved it 🥰

[@SamaShareef-jh2jr]

I really wish there were time stamps for each topic like it was in differentiation. It would have really helped . But i really do appreciate these videos, they're really helpful, You're a great teacher , thanks for the help ❤❤

[@appleorange242]

This helped me out alot!!! Thank you soo much! I hope you'll continue with the Further pure series aswell!

[@MindfulMaths]

That will be for next year 😃

[@nithishperera8828]

@@MindfulMaths When exactly will you be starting it ?

[@emyy213]

@@MindfulMaths still waiting for further pure series here (shaking hand)

[@devpatel7275]

This helped me out a lot! Thank you! I hope you start the S2 series.

[@diyapatel3286]

there is no audio from 52:00 idk i have tried re-loading the page, switching my internet off and on and also used another device but it is not working, I hope you add the audio Ms, the question seems interesting.. there is also no working out that you are doing in it.. Oh wait nvm... you seem to have accidentally put in the starting part again, thanks for this Ms, It is so helpful.

[@AnikSabanayagam]

is this part there in the video?

[@lams105]

for you, i do not skip ads, make the $$$ :) thank you for everything

[@MindfulMaths]

Thank you :)

[@sumodawrestler]

You're truly an angel! Thank you so much for your vids :)

[@MindfulMaths]

You are so welcome!

[@3bra7maan]

THANK YOU SOO MUCH UR AN ABSOLUTE LEGENDD

[@MindfulMaths]

I am glad you find the channel useful :)

[@silentintegrals9104]

💕 awesome, solving integrals is so much fun 💕

[@MindfulMaths]

It really is!

[@piccledice7086]

Thanks for this great vid, its your longest one

[@MindfulMaths]

Glad you liked it!

[@dong2793]

THANK. YOU.

[@gigiadwan8989]

Thank you so much Miss ☺️ appreciate it

[@MindfulMaths]

You’re welcome 😊

[@whenyourpizzarollsaregone9239]

2:59:26 your laugh is adorable miss, that cheered me up so much :)

[@MindfulMaths]

Thank you, I wondered what I laughed at?

[@whenyourpizzarollsaregone9239]

@@MindfulMaths one of your students tried to integrate with ln without using partial fractions 😅

[@kit4520]

1:49:44

[@Sarah-yg3us]

At 2:05:58 i found 2xsinX - x^2Cosx + 2sinX + C where could i have gone wrong?

[@k.m004]

You didn't integrate 2sinx, you left it as it is you should've integrated it, 2sinx integrtaed= 2cosx

[@bandugom4999]

2:54:42 so the +c is on one side even if we integrate both sides?

[@MindfulMaths]

Yes we just need one constant of integration :)

[@bandugom4999]

@@MindfulMaths thanks! :)

[@ranmeth4264]

@@MindfulMaths so like the two Cs on btoh sides woudlnt cancel out?

[@sharminsultana29]

Hi can you make some question paper solving videos for edexcel ial pure mathematics 3 & 4

[@MindfulMaths]

Uploading soon :)

[@farhannadimiqbal670]

Thanks miss :D

[@MindfulMaths]

You're welcome 😊

[@silentintegrals9104]

amazing ... stay curious

[@brianpitilosi1223]

thank you so much ,you really a talented mentor .i really appreciate.i owe you🤩🌟🌟🌟🌟🌟🌟

[@MindfulMaths]

You are very welcome

[@schmickmiller]

hello, why did we add the square root in 2:54:58 ?

[@MindfulMaths]

Becuase a ln b can wriiten as ln b^a and something to the power of a half is also square root.

[@adolfstalin1497]

I don't get it. Why do you flip flop in integration by parts in 2:00:26? You were using one method in the first question and then the other in this question. All the sudden x^2 is the v. In the first question cos x was v.

[@farhannadimiqbal670]

but can you kindly turn on auto captions?

[@MindfulMaths]

I am not sure how, I think I have done it on my side, can you see if it now works. Thanks

[@farhannadimiqbal670]

@@MindfulMaths Oh don't worry miss. I will do some workaround :)

[@MindfulMaths]

@@farhannadimiqbal670 did it work?

[@sarahnaz1544]

@@MindfulMaths Yes

[@tuleenbadran4477]

at 2:17 why not wright c/2

[@MindfulMaths]

You sure this is at 2:17?

[@tuleenbadran4477]

@@MindfulMaths i meant 2 hours and 17 mins sorry

[@earthran]

49:45 why is it unit cubed

[@MindfulMaths]

For Volume :)

[@sarahnaz1544]

Around 46:00 why can we integrate cos4x and not sin2x aren't they both double angles

[@MindfulMaths]

We are not allowed to integrate (sin2x)^2. We can integrate double angle using reverse chain rule. :)

[@sarahnaz1544]

@@MindfulMaths oh okay! Thank you

[@tuleenbadran4477]

miss why cant trig identities not be integrated

[@tuleenbadran4477]

and does these only include sin cos tan i dont undertsand

[@MindfulMaths]

Can you expand on the question please, sin can be integrated however sin⁡^2x needs rewriting to integrate either using the double angle formula or you could integrate by parts.
(sinx)(sinx) because it is continuous you would need to manipulate the expression and close the "loop".

[@tuleenbadran4477]

@@MindfulMaths oh okay thank u miss

[@mariam8078]

For integration by parts, I really liked and understood your method...If I use it in the exam, will I get full marks?

[@MindfulMaths]

Yes you will get full marks, it is the same method as the book just presented a little different :)

[@uhidk18]

This is torture 😭

[@MindfulMaths]

It is a long chapter! You got this :)

[@Nt.4896]

Fr 😞😞