If the left-hand sum, LEFT(n), for $\int_{a}^{b} f(x) d x$ is too large for one value of n, it will be too large for all values of n.

Question

Quizplus · Accepted Answer

The left-hand sum, LEFT(n), for an integral can overestimate or underestimate the area under the curve depending on the function's behavior (increasing, decreasing, concave up, or concave down) and the interval [a, b]. As n increases (more subdivisions are used), the approximation generally becomes more accurate, and whether it overestimates or underestimates can change depending on these factors.

If the Left-Hand Sum, LEFT(n), For ∫abf(x)dx\int_{a}^{b} f(x) d x∫ab​f(x)dx Is Too Large for One Value of N, It Will

If the Left-Hand Sum, LEFT(n), For $\int_{a}^{b} f(x) d x$ Is Too Large for One Value of N, It Will