11. Riemann Integration I

Integrable Functions — Quiz

Test your understanding of integrable functions with 5 practice questions.

Practice Questions

Question 1

Which statement must be true for a function to be Riemann integrable on a closed interval $[a,b]$?

Question 2

If $f$ is continuous on $[a,b]$, what can we conclude?

Question 3

Which function is not Riemann integrable on $[0,1]$?

Question 4

If the upper and lower sums of a bounded function on $[a,b]$ can be made arbitrarily close, what does that imply?

Question 5

In the definition of the upper sum $U(f,P)$, which quantity is used on each subinterval?