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\(\int dx/(x^3-8) \)

becomes:

\(dx/(x-2)(x^2+2x+4) \rightarrow \int \frac{A}{x-2}+\frac{Bx+C}{x^2+2x+4}\)

and this is how i arranged it:

\(1=(x^2+2x+4)A+(x-2)(Bx+C)\)

and now he wants me to arrange it a simplier way or better way? he gave me a clue and that it starts with 0x^2-1= and that i should figure out the rest. please do help if you have an idea on what it is that he is trying to make me perform here.

 
 Aug 14, 2021
edited by Guest  Aug 14, 2021

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