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Mega A Level Maths Thread MK II

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Original post by pureandmodest
how would you integrate x(x^2 +5)^1/2 using the substitution u=x^2 +5
i know it's integration by substitution, but i keep getting it wrong:frown: help


Ok whenever you have a integration you must differentiate your 'u'

u=x^2+5
du/dx=2x. Therefore du=2x

Take a factor of a half out of your integral. giving 1/2Int(2x(x^2+5)^0.5)dx

You can then swap the 2x*dx with du

Giving 1/2Int(u^0.5)du

Integrating that gives 1/2{(2u^(1.5))/3 + c}

Such in your 'u'

giving ((x^2+5)^1.5)/3 + c
Reply 3701
Avatar for tigerz
tigerz
Original post by joostan
Haha. Go on see what wolfram reckons you're aiming for :tongue:



It's a fairly standard example.
If you post some working I can spot a mistake


:lol: Exam stress -it's gotta be


YUP, I actually think i'm stressing at the mo, my dogs getting jealous that i'm spending time with my niece, difficult looking after two babies, let alone chem revision LOL
The good news is, mathematical knowledge makes all my chem calculations seem easy even though I haven't learn them
Original post by joostan

ln's squareroots q's, a's, b's galore :lol:


I think you should give me a step by step solution :colone:


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Original post by tigerz
YUP, I actually think i'm stressing at the mo, my dogs getting jealous that i'm spending time with my niece, difficult looking after two babies, let alone chem revision LOL
The good news is, mathematical knowledge makes all my chem calculations seem easy even though I haven't learn them

Good :biggrin:
Original post by MathsNerd1
I think you should give me a step by step solution


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I've not done it :nah:
Get Felix to do it :tongue:
(edited 10 years ago)
Original post by tigerz
111/150, I done unit 1 and the practical, I only got 61/90 for the exam in Jan (I spent my time going out/eating instead of prep) and 50/60 for the practical :smile:


I don't blame you, if I were doing Chem, I'd definitely spent my time going out and eating (or doing maths) instead of revising too :colone:
Original post by Felix Felicis

Hint



Could you give me a step by step solution? :colone:
Original post by joostan

I've not done it :nah:
Get felix to do it :tongue:


You've let me down and there was me thinking you're good at Maths :wink:

Edit: In case you couldn't tell this was just sarcasm, of course you're good at Maths!! :tongue:
(edited 10 years ago)
Original post by MathsNerd1
You've let me down and there was me thinking you're good at Maths :wink:

:lol:

Spoiler



Original post by MathsNerd1

Edit: In case you couldn't tell this was just sarcasm, of course you're good at Maths!!

EDIT: Of course I can tell :ahee:
(edited 10 years ago)
Original post by MathsNerd1
Could you give me a step by step solution? :colone:

In like half an hour...precisely the amount of time it'll take me to deal with the LaTeX :colone:
Original post by Felix Felicis
In like half an hour...precisely the amount of time it'll take me to deal with the LaTeX :colone:


I can wait that long :tongue:


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Reply 3710
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tigerz
Original post by justinawe
I don't blame you, if I were doing Chem, I'd definitely spent my time going out and eating (or doing maths) instead of revising too :colone:


LOOL you've read my mind :P

Original post by joostan
Good :biggrin:

I've not done it :nah:
Get felix to do it :tongue:


:colone: cheater, i'm disappointed, poor felix,
prove that: How I play a round noisomely. An injury comes.= π \pi

Original post by reubenkinara
It is a 1 module... Good work! :smile:


I see your a fan of Mozart :^_^: :thumbsup:
Original post by Felix Felicis
In like half an hour...precisely the amount of time it'll take me to deal with the LaTeX :colone:


Quote me in the solution will you?

Spoiler

Original post by tigerz

:colone: cheater, i'm disappointed, poor felix,
prove that: How I play a round noisomely. An injury comes.= π \pi

Hey! He posted the problem not me :tongue:
Original post by joostan
:lol:

Spoiler




EDIT: Of course I can tell :ahee:


Good good, I'm never quite sure if many Mathematicians have a sense of humour like I do :biggrin:


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Original post by MathsNerd1
Good good, I'm never quite sure if many Mathematicians have a sense of humour like I do :biggrin:
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:lol: I work at it :tongue:
In half an hour's time we will gaze at this filthy integral in all it's glory :smile:
Original post by joostan
:lol: I work at it :tongue:
In half an hour's time we will gaze at this filthy integral in all it's glory :smile:

I'm rather looking forward to the solution as I want to know how he progressed from what I obtained as I've taken his hint and tried to do it in that form but just stopped once I had 2 quadratics inside one another! It does look rather horrific if that's the correct way to go about it :redface:
Original post by tigerz
LOOL you've read my mind :P



:colone: cheater, i'm disappointed, poor felix,
prove that: How I play a round noisomely. An injury comes.= π \pi



I see your a fan of Mozart :^_^: :thumbsup:

I am, indeed. What gave it away?
Reply 3717
Avatar for tigerz
tigerz
Original post by joostan
Hey! He posted the problem not me :tongue:


Ahh, thats cool then you have a reasonable justification for your actions...

Spoiler



Original post by reubenkinara
I am, indeed. What gave it away?


LOOL, you see I was cleaning the kitchen windows and it just hit me :zomg: Keron likes Mozart

Spoiler

(edited 10 years ago)
Original post by tigerz
Ahh, thats cool then you have a reasonable justification for your actions...

Spoiler





LOOL, you see I was cleaning the kitchen windows and it just hit me :zomg: Keron likes Mozart

Spoiler


Interesting!! I take it you like tigers?
Reply 3719
Avatar for tigerz
tigerz
Original post by reubenkinara
Interesting!! I take it you like tigers?


LOOL, I don't know why I chose this nickname :dontknow: I was making the account in a hurry :P Although tigers are pretty cool: http://24.media.tumblr.com/tumblr_m69zdxLsBz1r8xc0mo1_500.jpg ← \leftarrow bare cute! :h:

Then again I have a dog called Simba.. :biggrin:

LOLs, how much more exams have you got left? How many of them are maths?

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