this series is gonna go down in history honestly

@urboy_raz

Ай бұрын

Fr 💯

This one was mad but really satisfying, thank you for the continuous help in alevel maths!

We are all your friends lol. 6:31

@MrAstburyMaths

Ай бұрын

😂

@adailyfact

Ай бұрын

@@MrAstburyMaths Sir, for the final answer instead of brackets can you put a modulus sign for the ln function?

@59xthepain87

Ай бұрын

@@adailyfact 1+x^2(e^-3x) is >=1 for all real x so you dont need

Absolute GOAT of a maths teacher mad respect. I also don’t mean to toot my own horn here but I actually did this one fairly easily in good time so all the integration revision helps man.

really fun & helpful seeing you do that, thanks! love the humour as well!

One of the best maths teachers I’ve ever seen on KZread, keep going!

thx mr j cole appreciate the video

got it right :) wouldve never got it right without watching ur previous series

@user-fr5tt3fn2l

Ай бұрын

Which series?

@HamzaElsharkawy-rb2nc

Ай бұрын

@@user-fr5tt3fn2l like the tricky maths questions series makes all the rest of the question so much easier and you think more logically atleast that was for me

@user-fr5tt3fn2l

Ай бұрын

@@HamzaElsharkawy-rb2nc ohh okay, yes love the series

@adeshewaadebayo7480

Ай бұрын

same but i did it completely differently

you make it look so easy

Keep ‘em coming goat. Gotta love maths 😂

Just shows the best way to get better at this is to do loads of questions helps you know what to try and spot

if you differentiate the u function, you can factor it down a little (take out a factor of e^-3x) and you can expand the top of the given integral, giving you a cancellation. You basically end up with 1/the u sub and its pretty easy from there

lovely question

What I would do after finding the du and factoring out the e^-3x, is to multiply the numerator and denominator of the original integral by e^-3x to have du on the numerator. Therefore, we’re left with integral of 1/u which is ln(u)+C.

To simpilfy your integral and intergrate 1+×2-e-³×==S 1/4 dy = 1+in +x²-e-³×

Fantastic sir you’re are exam saver

Love it

legend

beauty of maths displayed here

@nitroh7745

Ай бұрын

if only a level qs made anyone like maths

I just multipled the intergral by 1 in the form of e^-3x/e^-3x and everything falls out in 2 lines.

Hello Mr Astbury, could you please make a playlist of all the tricky alevel questions videos?🙏🏻 🙏🏻

@MrAstburyMaths

Ай бұрын

A Level Maths Tricky Questions kzread.info/head/PLrHSLsLY6wigF9EjE8LVh3HUWvk-zMPr-

Do you not have to include e^3x in the final answer after dividing by it? Does it not become a factor outside the integral and then multiply back in once it’s integrated

4:01 divide by u on both sides and the integral turns into ∫du/u. Voila!

You wrote the denominator at 5:40. Next two lines were unnecessary.

@urboy_raz

Ай бұрын

Yea, can sub directly

im just glad i never have to do alevel maths again

I did it a little differently i rearranged for dx and subbed it in then cancelled would i still get the marks. Thanks a lot for these vids as well😄

@adeshewaadebayo7480

Ай бұрын

omg same then reciprocated i got the same and it was easier i think

@rachaelkenyon4712

Ай бұрын

Same!

@adw1z

Ай бұрын

That is always quicker and easier because in every question u get given, the differential will simplify down. writing e^3x du = x(2-3x)dx and subbing in directly will give u a magical cancellation

Gawd I miss maths.......way too busy doing other stuff yet once my life settles down, high chance I'll take it up again. For anyone who feels bad, I'm in my mid-50s and never got to finish my Maths degree. Might go back just for fun at some later stage....unsure at the present moment

Sir I'm just curious, what is the most effective way to learn from these questions? These videos are very useful but I was just wondering if going over these questions first, getting them right/wrong then watching the video, or just watching these videos, or maybe taking down some notes as the video goes along is best; or a combination of these? How can I learn a lot from these tricky questions to improve my revision?

@MrAstburyMaths

Ай бұрын

I think it’s definitely worth attempting the question first yourself 👌

Cmon! Sir back at it again with another vid. How was the darts match?

@MrAstburyMaths

Ай бұрын

6-5 victory! From being 3-5 down. Let’s go! A 180 and 146 checkout to add to the stats 🙌🙌

easy

Madas Q right? remember doing this

Hey please do Igcse edexcel maths A and Further pure maths plsssss

@MrAstburyMaths

Ай бұрын

Hi there. I do LOADS of Edexcel Maths A!! I don’t have time to do any Further Pure Maths this year I’m afraid

What exam board is this never seen a question like this!!

@MrAstburyMaths

Ай бұрын

It’s from a MadasMaths paper. An excellent resource for challenging A level questions

i thought that shit said line integration i got excited

What football team do you support Mr Astbury

@FuturePastPerson

Ай бұрын

ma^n ci + ty where m is the mass, i is a vector and t is time in minutes since the experiment started

@adw1z

Ай бұрын

@@FuturePastPersonand c is obviously the speed of light

ln(1+x^2•e^-3x) +c You have unnecessarily complicated the solution. It could be done in an easier way

@evanpoole7829

Ай бұрын

if the question says to use provided substitution, you must use it. He defo overcomplicated some bits but you cant just reverse chain rule

It is probably one of the easiest questions I found. Bro do a jee advanced/jee main integral which is supposed to be done by high school students in India. Please try that in your next video.

@abysmal7000

Ай бұрын

you sound really stuck up 💀

You made this a lot more convoluted than it needs to be. If you take the integrand and multiply both numerator and denominator by e^(- 3x), the numerator becomes xe^(- 3x)(2 - 3x)dx, which equals du, and the denominator becomes 1 + x^2e^(- 3x), which is u. So the whole integral simplifies to just (1/u)du, which of course is just ln|u| + C

Too easy

"minus THREE", "minus FREE" : we can achieve standards in English ASWELL as Mathematics!