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1 vote
1 answer
81 views

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 ...
Woody Woodstock's user avatar
4 votes
4 answers
856 views

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$...
TobyStack's user avatar
  • 233
4 votes
1 answer
129 views

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 ...
susan's user avatar
  • 51