- #1

Jess Karakov

- 11

- 3

## Homework Statement

Suppose that T4 is used to approximate the ∫ from 0 to 3 of f(x)dx, where -2 ≤ f ''(x) ≤ 1 for all x. What is the maximum error in the approximation?

## Homework Equations

|ET|≤ (K(b-a)^3)/(12n^2)

## The Attempt at a Solution

So I know how to find the error of the trapezoidal rule using the above equation, but I do not understand how to find the maximum error in an approximation.

To find the max error I would find the max/mins of f ''(x), right? But I don't know how to do that when f(x) is not given