Final answer:
This is a calculus problem where a student needs to evaluate an integral. Simplification through partial fraction decomposition is a likely step, but the provided information is not coherent and does not directly assist in solving the integral at hand.
Step-by-step explanation:
The student's question involves evaluating the integral of a given function. This is a mathematical problem commonly encountered in calculus courses. The first step in approaching this type of problem usually entails simplifying the integrand if possible, or finding an appropriate substitution to make the integral more manageable.
In this case, the function to integrate is (x - 6)/(x² - 6x + 8). One common method involves factoring the denominator and using partial fraction decomposition, where we express the fraction as a sum of simpler fractions, often leading to an easier integration process. Once the integrand is simplified, we can proceed to integrate term by term.
However, the provided information seems to contain scattered or irrelevant content, not directly relating to the steps necessary to solve the integral.