Posted by **Carmen** on Saturday, February 26, 2011 at 10:33pm.

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

- Calculus -
**MathMate**, Sunday, February 27, 2011 at 9:21am
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.

## Answer This Question

## Related Questions

- Calculus - Determine the interval on which f(x) = ln(x) is integrable. (0, ) [...
- Advanced Calculus 2 - Construct an example of two Riemann integrable functions ...
- Calculus - Determine the interval on which f(x) = sqrt x-3 is integrable
- Calculus - The function f(x) is defined as f(x) = -2(x+2)(x-1)^2 = -2(x^3 -3x + ...
- calculus - Let g be the function give by g(x) = x^4 - 4x^3 + 6x^2 4x + k where...
- Please help. Mathematics Analysis Question - Let f: [a,b] -> R. Given f is ...
- calculus2 - Find two non-Riemann integrable functions whose sum is not Riemann ...
- Hard Calculus - f(x)= xsquared - 2x Determine whether y= f(IxI) is continous at...
- Calculus - Consider a differentiable function f having domain all positive real ...
- Calc - Is f(x)=|x+2| integrable? Please give a reason behind your answer. Yes, ...

More Related Questions