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#1 2013-01-22 07:33:42

MathsIsFun
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Integration by Substitution

Just drafted Integration by Substitution

Comments/suggestions/etc!


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman
 

#2 2013-01-22 07:56:14

anonimnystefy
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Re: Integration by Substitution

No errors.

I think you should incorporate some definite integrals later, when you finish working on pages on indefinite integration.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#3 2013-01-22 08:29:31

MathsIsFun
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Re: Integration by Substitution

anonimnystefy wrote:

No errors.

Thanks!

anonimnystefy wrote:

I think you should incorporate some definite integrals later, when you finish working on pages on indefinite integration.

In the pipeline. Soon.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman
 

#4 2013-01-22 09:22:15

bobbym
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Re: Integration by Substitution

Hi MIF;

Thanks for the page.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#5 2013-01-22 09:37:20

bob bundy
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Re: Integration by Substitution

hi MathsIsFun,

Brain low on CHO at the moment.  I'll post a comment tomorrow when I've got both brain cells working.

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
 

#6 2013-01-22 17:41:04

ganesh
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Re: Integration by Substitution

Hi MathsIsFun,

Neat page. I haven't noticed any error. Thanks!


Character is who you are when no one is looking.
 

#7 2013-01-22 18:07:40

anonimnystefy
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Re: Integration by Substitution

bob bundy wrote:

hi MathsIsFun,

Brain low on CHO at the moment.  I'll post a comment tomorrow when I've got both brain cells working.

Bob

That would imply you have only two brain cells! roflol

Last edited by anonimnystefy (2013-01-23 03:35:18)


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#8 2013-01-22 21:44:52

bob bundy
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Re: Integration by Substitution

That's right, Stefy.  Usually they take it in turns to run things, but, for hard questions I use them both.  smile

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
 

#9 2013-01-22 22:05:30

bob bundy
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Re: Integration by Substitution

hi MathsIsFun,

I've used substitution for years, but never seen it defined that way.  Had to look up in my old maths text book and sure enough that's what it says too, except in Shakespearean English, of course.

Do you want some more examples?

Here's a couple.  You'll have to translate them from my layout to yours.



substitute x = sin (u)  => dx/du = cos (u)







substitute x = tan(u)  =>  dx/du = sec^2(x)





Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
 

#10 2013-01-23 07:37:40

MathsIsFun
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Re: Integration by Substitution

bob bundy wrote:

... except in Shakespearean English, of course.

smile

And thanks for the examples (nicely formatted too).


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman
 

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