**Problem Statement:** Find the function \( f(x) \). **Given:** - The third derivative of \( f \), denoted as \( f'''(x) \), is given by: \[ f'''(x) = x^{-2} \] - The domain is specified as \( x > 0 \). **Initial Conditions:** - \( f(1) = 0 \) - \( f(5) = 0 \) Calculate the function \( f(x) \). \[ f(x) = \boxed{\phantom{\text{Solution}}} \] **Explanation and Diagrams (if applicable):** There are no diagrams or graphs provided in this problem. The task is to integrate the given third derivative function \( x^{-2} \) step by step, applying the initial conditions to solve for the constants and thus find the original function \( f(x) \).

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