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#1 2013-01-21 08:33:42

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,711

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
Real Member
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
Administrator
Registered: 2005-01-21
Posts: 7,711

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

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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
Administrator
Registered: 2010-06-20
Posts: 10,053

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 smile

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#6 2013-01-21 18:41:04

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

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

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 (2013-01-22 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
Administrator
Registered: 2010-06-20
Posts: 10,053

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


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 smile

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#9 2013-01-21 23:05:30

Bob
Administrator
Registered: 2010-06-20
Posts: 10,053

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 smile

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#10 2013-01-22 08:37:40

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,711

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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