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.
$\int\frac{x^4-6x^3+12x^2+6}{x^3-6x^2+12x-8}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (x^4-6x^312x^2+6)/(x^3-6x^212x+-8). Find the integral. Divide x^4-6x^3+12x^2+6 by x^3-6x^2+12x-8. Resulting polynomial. Expand the integral \int\left(x+\frac{8x+6}{x^3-6x^2+12x-8}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.