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Arbitrarily long decomposition into partial fractions.
$$\int \frac{dx}{x(x+p)(x+2p)(x+3p)...(x+(n-1)p)}= ?$$
I'm trying to solve this integral, and as I usually do in these cases, I break the expression into partial fractions, but I find this case ...
4
votes
4
answers
856
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How to solve certain types of integrals
I'm asking for a walk through of integrals in the form:
$$\int \frac{a(x)}{b(x)}\,dx$$
where both $a(x)$ and $b(x)$ are polynomials in their lowest terms. For instance $$\int \frac{x^3+2x}{x^2+1}\,dx$...
4
votes
1
answer
129
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Indefinite integral with partial fractions
$$\int{ -5x^3-2x^2+32\over x^4-4x^3 } dx $$
How should I solve this indefinite integral using partial fractions?
I have already checked the online calculators but the answer they give me is incorrect ...