Homework Help: Integral question

1. Jan 8, 2008

transgalactic

the the integral of

(x^3)/((x^3)-2)

i devided the polinomials and got

1+ (2/((x^3)-2))

and afterwards i tried to split the deminator
but i g0t realy complicated roots
which are not alowing me to go further
how do i continue after i devided the polinomials

2. Jan 8, 2008

transgalactic

nooo

its 2 in the power of(1/3) not 2

thats the big problem
how do i dolve that

3. Jan 8, 2008

rocomath

If you want help, type it out w/o ambiguity or use LaTeX to avoid any confusion.

4. Jan 8, 2008

transgalactic

if we solve ny the formula then we need to substitue eache 2
with 2^(1/3)

5. Jan 9, 2008

transgalactic

ye Difference of cubes
but you wrote as if it was

x^3 -8

our question is:

1+ (2/((x^3)-2))

Last edited: Jan 9, 2008
6. Jan 9, 2008

rocomath

Well after looking at it and confirming with Mathematica, your numbers will be ugly. So you are probably on the right track, and I can't think of a slick way ... I tried several methods but didn't work out nicely at all.

7. Jan 9, 2008

rocomath

Lol, I just did it ... it is really ugly in the sense of too many fractions ... I don't even want to type it up. It's pretty ez though, just use Partial Fractions and you're done.

8. Jan 9, 2008

thanks