Calculus

posted by .

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

  • Calculus -

    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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calc

    Is f(x)=|x+2| integrable? Please give a reason behind your answer. Yes, it is piecewise integrable. http://www.mathwords.com/p/piecewise_continuous_function.htm Could you explain that a bit more?
  2. Please help. Mathematics Analysis Question

    Let f: [a,b] -> R. Given f is integrable and bounded below, show 1/f is integrable.
  3. Hard Calculus

    f(x)= xsquared - 2x Determine whether y= f(IxI) is continous at x= 0 justify your answer
  4. Advanced Calculus 2

    Construct an example of two Riemann integrable functions whose composition is not Riemann integrable.
  5. calculus2

    Find two non-Riemann integrable functions whose sum is not Riemann integrable.
  6. calculus

    Let g be the function give by g(x) = x^4 - 4x^3 + 6x^2 – 4x + k where k is constant. A.On what intervals is g increasing?
  7. Calculus

    The function f(x) is defined as f(x) = -2(x+2)(x-1)^2 = -2(x^3 -3x + 2) on the open interval (-3,3). 1. Determine the x-coordinate of the absolute minimum of f(x) in the open interval (-3,3). Justify your answer. 2. Find all values …
  8. Calculus

    Determine the interval on which f(x) = sqrt x-3 is integrable
  9. Calculus

    Consider a differentiable function f having domain all positive real numbers, and for which it is known that f'(x)=(4-x)x^-3 for x>0. A. Find the x-coordinate of the critical point of f. Determine whether the point is a relative …
  10. Calculus

    Determine the interval on which f(x) = ln(x) is integrable. (0, ‡) [0, ‡) (−‡, 0) U (0, ‡)(MY ANSWER) All reals

More Similar Questions