Final answer to the problem
Step-by-step Solution
Specify the solving method
Find the integral
Learn how to solve integral calculus problems step by step online.
$\int\frac{3x^4-9x^3-32x^2+11x-5}{x-5}dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (3x^4-9x^3-32x^211x+-5)/(x-5). Find the integral. We can factor the polynomial 3x^4-9x^3-32x^2+11x-5 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 -5. Next, list all divisors of the leading coefficient a_n, which equals 3. The possible roots \pm\frac{p}{q} of the polynomial 3x^4-9x^3-32x^2+11x-5 will then be.