Consider the curve y = f(x) = 1/x and the region under f (x) between x = 1 and x = 3. Suppose L is the left-hand endpoint Riemann sum with 15 subdivisions, R is the right-hand endpoint Riemann sum with 15 subdivisions, and A is the true area of this region. Which of the following is correct?

Question

Consider the curve y = f(x) = 1/x  and the region under f (x) between x = 1 and x = 3. Suppose L is the left-hand endpoint Riemann sum with 15 subdivisions, R is the right-hand endpoint Riemann sum with 15 subdivisions, and A is the true area of this region. Which of the following is correct?

anonymous · Answer

R < L < A
       L < A < R
       L = A = R
       R < A < L
       A < R < L