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: