Question$\int \frac{3 x^{2}-2 x-4}{x^{3}-x^{2}-4 x+4} d x=$

Studdy Solution
Now integrate each term separately:
$$\int \left( \frac{1}{x - 2} + \frac{1}{x + 2} + \frac{1}{x - 1} \right) dx$$
$$= \int \frac{1}{x - 2} dx + \int \frac{1}{x + 2} dx + \int \frac{1}{x - 1} dx$$
Each integral is a natural logarithm:
$$= \ln|x - 2| + \ln|x + 2| + \ln|x - 1| + C$$
The solution to the integral is:
$$\ln|x - 2| + \ln|x + 2| + \ln|x - 1| + C$$