Let
denote a
compact interval,
and let
denote
Riemann-integrable
functions. Then the following statements hold.
- If
holds for all
,
then
holds.
- If
holds for all
,
then
holds.
- The sum
is Riemann-integrable, and the identity
holds.
- For
we have
.
- The functions
and
are Riemann-integrable.
- The function
is Riemann-integrable.
- The product
is Riemann-integrable.