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#1 2013-01-21 08:33:42
- MathsIsFun
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- Registered: 2005-01-21
- Posts: 7,713
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
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#2 2013-01-21 08:56:14
- anonimnystefy
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- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Integration by Substitution
No errors.
I think you should incorporate some definite integrals later, when you finish working on pages on indefinite integration.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#3 2013-01-21 09:29:31
- MathsIsFun
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Re: Integration by Substitution
No errors.
Thanks!
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
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#4 2013-01-21 10:22:15
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Integration by Substitution
Hi MIF;
Thanks for the page.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#5 2013-01-21 10:37:20
- Bob
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- Registered: 2010-06-20
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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
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob 
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#6 2013-01-21 18:41:04
- Jai Ganesh
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- Registered: 2005-06-28
- Posts: 48,422
Re: Integration by Substitution
Hi MathsIsFun,
Neat page. I haven't noticed any error. Thanks!
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#7 2013-01-21 19:07:40
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
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
That would imply you have only two brain cells! 
Last edited by anonimnystefy (2013-01-22 04:35:18)
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#8 2013-01-21 22:44:52
- Bob
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- Registered: 2010-06-20
- Posts: 10,623
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.
Bob
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
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#9 2013-01-21 23:05:30
- Bob
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- Registered: 2010-06-20
- Posts: 10,623
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
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
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#10 2013-01-22 08:37:40
- MathsIsFun
- Administrator
- Registered: 2005-01-21
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Re: Integration by Substitution
... except in Shakespearean English, of course.
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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