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1. Integrating Brackets
How do you integrate brackets.

For example, (x-1)^-2

any help appreciated.
2. Re: Integrating Brackets
substitution? Ie, let u=x-1
3. Re: Integrating Brackets
u = x-1

du/dx = 1

dx = du

integral u^-2 du

= -u^-1
= -(x-1)^-1
4. Re: Integrating Brackets
Use the chain rule. Add one to the power, then divide the whole bracket by (the new power times by the dericitive of whats inside the bracket)....Thus giving you (x-1)^-1/-1
Last edited by 0129Hippy; 10-06-2008 at 13:13.
5. Re: Integrating Brackets
(Original post by theflyingpig)
u = x-1

du/dx = 1

dx = du

integral u^-2 du

= -u^-1
= -(x-1)^-1
You're right.
Last edited by 0129Hippy; 10-06-2008 at 13:13.
6. Re: Integrating Brackets
(Original post by buj)
How do you integrate brackets.

For example, (x-1)^-2

any help appreciated.
If you don't want to use substitution, add one to the power to give . If you then differentiate back again, you get , which is -1 times too big. We therefore need to divide what we differentiated by -1, giving the answer as .
7. Re: Integrating Brackets
(Original post by 0129Hippy)
You're wrong.
Nope you need to revise. -2 + 1 does not equal -3
8. Re: Integrating Brackets
(Original post by 0129Hippy)
You're wrong.
No he's right.
9. Re: Integrating Brackets
Ooooopsies...I apologise will all my heart.
10. Re: Integrating Brackets
First two people were wrong.

You get 1/(1-x)

By doing it the way Daniel Friedman explained.
11. Re: Integrating Brackets
(Original post by buj)
How do you integrate brackets.

For example, (x-1)^-2

any help appreciated.
you've left it quite late

past papers are your friends
12. Re: Integrating Brackets
(Original post by uthred50)
Actually, you're both wrong.

You get 1/(1-x)
No you're wrong lol

-(x-1)^-1 = 1/(1-x)
13. Re: Integrating Brackets
(Original post by n1r4v)
No you're wrong lol

-(x-1)^-1 = 1/(1-x)
i was refering to the other dude, but like 3 people posted before i put that post lol

The answer is definately 1/(1-x), whcih can also be phrased as (1-x)^-1
14. Re: Integrating Brackets
you can not integrate brackets....first of all you need to expand the braket... and then integrate.
15. Re: Integrating Brackets
(Original post by medione)
you can not integrate brackets....first of all you need to expand the braket... and then integrate.
You are wrong, unless you want to be forever integrating an infinite expansion....
16. Re: Integrating Brackets
(Original post by medione)
you can not integrate brackets....first of all you need to expand the braket... and then integrate.
Yes you can, substitution or chain rule.
17. Re: Integrating Brackets
If your revising for Edexcel Core 4 on Thursday you really should be able to do this by substitution or by observation by now.
18. Re: Integrating Brackets
we're all wrong. the answer is ...
19. Re: Integrating Brackets
(Original post by louiscbrooks)
If your revising for Edexcel Core 4 on Thursday you really should be able to do this by substitution or by observation by now.
Do you have any more logic puzzles
20. Re: Integrating Brackets
(Original post by n1r4v)
Do you have any more logic puzzles
lol no