PROVE OR DISPROVE TRUE or FALSE If f is Riemann integrable t

PROVE OR DISPROVE

TRUE or FALSE? If f is Riemann integrable, then it has a maximal value. If |f| is Riemann integrable, then f is Riemann integrable.

Solution

i) True

Since for a function to be reimann integrable it must be bounded, so it has maxmal element.

ii) False

Since if |f| is bounded then f may or may not be bounded