7. Numerical Integration II

Error Bounds — Quiz

Test your understanding of error bounds with 5 practice questions.

Practice Questions

Question 1

In numerical integration, what is an error bound?

Question 2

For the composite trapezoidal rule, if the step size $h$ is cut in half, how does the error bound change?

Question 3

Which derivative appears in the error bound for Simpson's rule?

Question 4

If an approximation has an error bound of $0.01$, what does this guarantee?

Question 5

For the composite trapezoidal rule, what happens to the error bound if the maximum of $|f''(x)|$ increases?