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2
questions
5
votes
2
answers
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Converting multiplying fractions to sum of fractions
I have the next fraction: $$\frac{1}{x^3-1}.$$
I want to convert it to sum of fractions (meaning $1/(a+b)$).
So I changed it to:
$$\frac{1}{(x-1)(x^2+x+1)}.$$
but now I dont know the next step. ...
- 271
39
votes
4
answers
14k
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Integration by partial fractions; how and why does it work?
Could someone take me through the steps of decomposing
$$\frac{2x^2+11x}{x^2+11x+30}$$
into partial fractions?
More generally, how does one use partial fractions to compute integrals
$$\int\frac{P(...
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