Final answer to the problem
Step-by-step Solution
Specify the solving method
Find the integral
Learn how to solve problems step by step online.
$\int\frac{x^3+x-1}{x^4+6x^2+9}dx$
Learn how to solve problems step by step online. Integrate the function (x^3+x+-1)/(x^4+6x^2+9). Find the integral. Rewrite the expression \frac{x^3+x-1}{x^4+6x^2+9} inside the integral in factored form. Rewrite the fraction \frac{x^3+x-1}{\left(x^{2}+3\right)^{2}} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D. The first step is to multiply both sides of the equation from the previous step by \left(x^{2}+3\right)^{2}.