# Indefinite Integral – Irreducible polynomial in denominator – Exercise 1965

Exercise

Evaluate the integral

$$\int \frac{2x-5}{x^2-6x+18} dx$$

$$\int \frac{2x-5}{x^2-6x+18} dx =\ln (x^2-6x+18)+\frac{1}{3}\arctan (\frac{1}{3}x-1)+c$$