integral of x^3/(x^2+8) I need help with the long division please...

Question

konradzuse · Answer

I'm really bad at long division with variables, any help would be appreciated :)

cwrw238 · Answer

x
             -------------------
x^2 + 8 ) x^3
                x^3 + 8x
                --------
                        - 8x

=      x    -   8x
                 ------
                 x^2 + 8

konradzuse · Answer

where do we get the 'x' for the 8x, from the x we got from x^2 into x^3?

cwrw238 · Answer

we multiply   x^2 + 8  by x ( the x above the ----)
    to give x^3 + 8x
subtracting that from x^3
 gives us the - 8x

cwrw238 · Answer

- now i understand what you said - the answer is yes

cwrw238 · Answer

how do we integrate the 8x/ x^2 + 8?
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