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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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#3 2013-01-22 08:29:31
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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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#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! 
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#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. 
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
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Re: Integration by Substitution
bob bundy wrote:
... 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