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$\int\frac{4x^3-8x-4}{4x+4}dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (4x^3-8x+-4)/(4x+4). Find the integral. Simplify the expression inside the integral. We can factor the polynomial x^3-2x-1 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 -1. Next, list all divisors of the leading coefficient a_n, which equals 1.