Final answer to the problem
Step-by-step Solution
Specify the solving method
Rewrite the expression $\frac{3x^2+2x-2}{x^3-1}$ inside the integral in factored form
Learn how to solve problems step by step online.
$\int\frac{3x^2+2x-2}{\left(x-1\right)\left(x^2+x+1\right)}dx$
Learn how to solve problems step by step online. Find the integral int((3x^2+2x+-2)/(x^3-1))dx. Rewrite the expression \frac{3x^2+2x-2}{x^3-1} inside the integral in factored form. Rewrite the fraction \frac{3x^2+2x-2}{\left(x-1\right)\left(x^2+x+1\right)} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C. The first step is to multiply both sides of the equation from the previous step by \left(x-1\right)\left(x^2+x+1\right). Multiplying polynomials.