Question

Determine if f(x)=5/(x-3)^2 is integrable on [0,2]. Justify your answer.

Answer 1

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.