Antiderivative of Rational Function

1800SpecialistCalculus

THE 47-th MATHEMATIAL OLYMPIAD OF REPUBLIC OF MOLDOVA

Let $n \in \mathbb{N}$. Find all the primitives of the function $$ f: \mathbb{R} \rightarrow \mathbb{R}, \quad f(x)=\frac{x^{3}-9 x^{2}+29 x-33}{\left(x^{2}-6 x+10\right)^{n}} $$

0 students attempted0% solvedRating 1800

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Antiderivative of Rational Function

1800SpecialistCalculus

THE 47-th MATHEMATIAL OLYMPIAD OF REPUBLIC OF MOLDOVA

Let $n \in \mathbb{N}$. Find all the primitives of the function $$ f: \mathbb{R} \rightarrow \mathbb{R}, \quad f(x)=\frac{x^{3}-9 x^{2}+29 x-33}{\left(x^{2}-6 x+10\right)^{n}} $$

0 students attempted0% solvedRating 1800