LIVE INTEGRATION + REVISION SESSION | Tricky A-Level Maths Question #45
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- เผยแพร่เมื่อ 19 พ.ค. 2024
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this series is gonna go down in history honestly
Fr 💯
This one was mad but really satisfying, thank you for the continuous help in alevel maths!
really fun & helpful seeing you do that, thanks! love the humour as well!
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.
One of the best maths teachers I’ve ever seen on TH-cam, keep going!
We are all your friends lol. 6:31
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@@MrAstburyMaths Sir, for the final answer instead of brackets can you put a modulus sign for the ln function?
@@adailyfact 1+x^2(e^-3x) is >=1 for all real x so you dont need
Keep ‘em coming goat. Gotta love maths 😂
you make it look so easy
thx mr j cole appreciate the video
Just shows the best way to get better at this is to do loads of questions helps you know what to try and spot
got it right :) wouldve never got it right without watching ur previous series
Which series?
@@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
@@HamzaElsharkawy-rb2nc ohh okay, yes love the series
same but i did it completely differently
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
Fantastic sir you’re are exam saver
Love it
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.
beauty of maths displayed here
if only a level qs made anyone like maths
legend
I've profoundly reached to professors of higher consultancy at university's of my mathematical hypothesises on ballistic ratio and Euclidean geometry further more quantum mechanics and hyperbolic geometry and equations
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?🙏🏻 🙏🏻
A Level Maths Tricky Questions
th-cam.com/play/PLrHSLsLY6wigF9EjE8LVh3HUWvk-zMPr-.html
To simpilfy your integral and intergrate 1+×2-e-³×==S 1/4 dy = 1+in +x²-e-³×
im just glad i never have to do alevel maths again
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
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😄
omg same then reciprocated i got the same and it was easier i think
Same!
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
Cmon! Sir back at it again with another vid. How was the darts match?
6-5 victory! From being 3-5 down. Let’s go! A 180 and 146 checkout to add to the stats 🙌🙌
4:01 divide by u on both sides and the integral turns into ∫du/u. Voila!
easy
You wrote the denominator at 5:40. Next two lines were unnecessary.
Yea, can sub directly
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?
I think it’s definitely worth attempting the question first yourself 👌
i thought that shit said line integration i got excited
Madas Q right? remember doing this
What exam board is this never seen a question like this!!
It’s from a MadasMaths paper. An excellent resource for challenging A level questions
Hey please do Igcse edexcel maths A and Further pure maths plsssss
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 football team do you support Mr Astbury
ma^n ci + ty where m is the mass, i is a vector and t is time in minutes since the experiment started
@@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
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.
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!