Indefinite Integral – A rational function – Exercise 6398

Exercise

Evaluate the integral

$$\int \frac{x+1}{9x^2-9x+2} dx$$

$$\int \frac{x+1}{9x^2-9x+2} dx=5\ln|x-\frac{2}{3}| -4\ln|x-\frac{1}{3}|+c$$