Exercise
$\int\frac{12x-8}{x^2-9}dx$
Step-by-step Solution
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((12x-8)/(x^2-9))dx. Expand the fraction \frac{12x-8}{x^2-9} into 2 simpler fractions with common denominator x^2-9. Simplify the expression. The integral 12\int\frac{x}{x^2-9}dx results in: 6\ln\left(x+3\right)+6\ln\left(x-3\right). Gather the results of all integrals.
Find the integral int((12x-8)/(x^2-9))dx
Final answer to the exercise
$\frac{14}{3}\ln\left|x-3\right|+\frac{22}{3}\ln\left|x+3\right|+C_0$