Quick question.

[Rika]

I have the problem of intergal (x^2-3/x^4-2x^3-2x^2-2x-3)

I performed partial fraction decomp to get into something i can integrate, and get this:

Ax^3-3Ax^2- Ax - A + Bx^2 - 4BX - 3B + Cx^3 + sqrt(7)Cx^2+Cx(2sqrt(7) - 3) + Dx^3 - 2Dx(sqrt(7)-1) - 2D(sqrt(7) - 2)

Is this right?

[Rika]

http://i49.photobucket.com/albums/f270/TokoronaShinjitsu/Misc/intergal.gif <- here is the
intergal

And the resulting partial fraction
http://i49.photobucket.com/albums/f270/TokoronaShinjitsu/Misc/partialfraction.gif

In image form. May be easier.

[Nancarrow]

Er... there are all sorts of message boards on the intarwebz that are specially for getting help with maths qs... why the JREF? :confused:

Anyhoo... I look at that ghastly denominator and I think FACTORISE and I get (x+1)(x-3)(x^2+1). And then I look at the numerator and I think oh wow that's so nearly (x+1)(x-3) but you have to add something back...

If you're getting sqrt(7)s I've no idea WHAT you're doing!

[Puppycow]

Oh god, I'm breaking out in hives. :faint:

[Nancarrow]

Well... as long as you're not breaking out in square roots of seven... that's ok then. :teacher:

[Rika]

I did my synthetic division wrong, but thanks for your help

(And this is the 'easiest' problem on my homework)