If a function is concave up, then the left-hand Riemann sums are always less than the right-hand Riemann sums with the same subdivisions, over the same interval.

Question

Quizplus · Accepted Answer

For a function that is concave up, the left-hand Riemann sums overestimate the actual area under the curve, while the right-hand Riemann sums underestimate it, making the left-hand sums greater than the right-hand sums, not less.

If a Function Is Concave Up, Then the Left-Hand Riemann