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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,608

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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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

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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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,608

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,832

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.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,548

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,794

Hi MathsIsFun,

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

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

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 (2013-01-22 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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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,548

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

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,548

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

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,608

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

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