Learn how to solve problems step by step online. Integrate the function (x-4)/(x^2-5x+6) from 0 to 2. Rewrite the expression \frac{x-4}{x^2-5x+6} inside the integral in factored form. Rewrite the fraction \frac{x-4}{\left(x-2\right)\left(x-3\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int_{0}^{2}\left(\frac{2}{x-2}+\frac{-1}{x-3}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{2}\frac{2}{x-2}dx results in: \lim_{c\to0}\left(- \infty \right).

Integrate the function (x-4)/(x^2-5x+6) from 0 to 2