To show :
is not integrable on .
Given information :
is bounded on .
Let us take a partition of defined by where
Let us consider the set of all partitions of .
The set of all partitions .
The set, is the singleton set .
So, upper bound of the set is i.e.
The set is the singleton set .
The greatest lower bound of the set is i.e.
Since, , is not integrable on .
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