# Basic properties of indefinite integral

If a function
*
f
*
(
*
x
*
)
has a primitive on a segment
*
X
*
, and
*
k
*
– a number, then

If functions
*
f
*
(
*
x
*
)
and
*
g
*
(
*
x
*
) have primitives on a segment
*
X
*
, then

If a function
*
f
*
(
*
x
*
)
has a primitive on a segment
*
X
*
, then for interior points of
this segment:

If
*
f
*
(
*
x
*
) is a continuous function on
a segment
*
X
*
and differentiable in interior
points of this segment, then: