Determine if f(x)=5/(x-3)^2 is integrable on [0,2]. Justify your answer.
If f(x) is defined and continuous on the given interval, and the given interval is within the domain of f(x), f(x) is integrable.
So ask yourself the following questions:
1. What is the domain of f(x)? Is [0,2] within the domain?
2. is f(x) continuous on [0,2]?
If you answered yes to both questions, f(x) is integrable.