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Urgent help needed on CORE 4 Integration... watch

1. Hey guys,

I am stuck on this question and have tried everything, but I can't seem to solve it.

Say I is the integral... therfore I 2x divided by (2x-1)^2
With the substitution U= 2X-1

My workings out;
if U= 2X-1
DU/DX = 2
therefore DX = DU/2

U^2= (2x-1)^2
and finally U+1=2X

Then the integral is I U+1 divided by 2U^2
But then thats worst then the original... What do I do now?
2. (Original post by J DOT A)
Hey guys,

I am stuck on this question and have tried everything, but I can't seem to solve it.

Say I is the integral... therfore I 2x divided by (2x-1)^2
With the substitution U= 2X-1

My workings out;
if U= 2X-1
DU/DX = 2
therefore DX = DU/2

U^2= (2x-1)^2
and finally U+1=2X

Then the integral is I U+1 divided by 2U^2
But then thats worst then the original... What do I do now?
That's right. Divide each term by u^2 and integrate term by term.
3. (Original post by Mr M)
That's right. Divide each term by u^2 and integrate term by term.
Sorry what does that mean... How do I do that?
4. (Original post by Mr M)
Unparseable or potentially dangerous latex formula. Error 4: no dvi output from LaTeX. It is likely that your formula contains syntax errors or worse.
\frac{u+1}{2u^2} = \frac{u^{-1}{2} + \frac{u^-2}{2}
aah the latex failed:/
5. (Original post by J DOT A)
aah the latex failed:/
blimey impatient soul - I fixed it
6. (Original post by Mr M)
AAHHHH I see! So you divded the U by 2U^2 and the +1 by 2U^2?

Absolute Legend! Thank you so much
7. (Original post by J DOT A)
AAHHHH I see! So you divded the U by 2U^2 and the +1 by 2U^2?

Absolute Legend! Thank you so much
You are welcome.
8. It might also make it easier to take a factor of a half out of the integral too :P? But that's not necessary, just makes it a tad simpler ^^
9. c4 is a *****
It might also make it easier to take a factor of a half out of the integral too :P? But that's not necessary, just makes it a tad simpler ^^
just a quick question... if U=e^x, then what would e^-x become?

And yeah it is now you mention it:P
11. (Original post by J DOT A)
just a quick question... if U=e^x, then what would e^-x become?

And yeah it is now you mention it:P
I could just tell you the answer but that wont help you. Just try thinking about another way to write e^-x so it has e^x in it

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Updated: April 10, 2011
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