Now, I'm really tempted to use arcsin, but the denominator isn't a radical, so how do I deal with 1/1-u^2 ?

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- January 1st 2013, 07:04 PMNervousConfusion...

Now, I'm really tempted to use arcsin, but the denominator isn't a radical, so how do I deal with 1/1-u^2 ? - January 1st 2013, 07:20 PMLordoftheFliesRe: Confusion...
- January 2nd 2013, 04:18 AMNervousRe: Confusion...
Where does the 1/2 come from? I see the difference of squares part, I guess I'm just confused about the splitting the fraction part.

- January 2nd 2013, 04:34 AMDevenoRe: Confusion...
it's not "difference of squares" it's "partial fractions".

suppose we want to write this as:

.

then:

that is:

.

this means that:

A + B = 1

B - A = 0

we can solve this for A and B:

2B = 1 --> B = 1/2 --> A = 1/2. thus the 2 goes on the bottom. - January 2nd 2013, 04:35 AMLordoftheFliesRe: Confusion...

**Edit:**Deveno's post is a more detailed explanation, ignore mine!