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For easier handling, reorder the terms of the polynomial $x^2-6x+x^3$ from highest to lowest degree
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$\int\frac{x+1}{x^3+x^2-6x}dx$
Learn how to solve problems step by step online. Find the integral int((x+1)/(x^2-6xx^3))dx. For easier handling, reorder the terms of the polynomial x^2-6x+x^3 from highest to lowest degree. We can factor the polynomial x^3+x^2-6x using the rational root theorem, which guarantees that for a polynomial of the form a_nx^n+a_{n-1}x^{n-1}+\dots+a_0 there is a rational root of the form \pm\frac{p}{q}, where p belongs to the divisors of the constant term a_0, and q belongs to the divisors of the leading coefficient a_n. List all divisors p of the constant term a_0, which equals 0. Next, list all divisors of the leading coefficient a_n, which equals 1. The possible roots \pm\frac{p}{q} of the polynomial x^3+x^2-6x will then be.