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Definite Integrals

Definite Integrals

Error in Left- and Right-Hand Sums Examples

Example 1

Let f(x) = x2 on the interval [0, 12]. How many rectangles must we use to guarantee that the right- and left-hand sums are within 100 of each other?

Example 2

Let f(x) = x2 on the interval [0, 12]. How large must n be to guarantee that RHS(n) is within 0.5 of the exact area between f and the x-axis on [0, 12]?