Again, we note that
for any real number C, treated as constant function, its derivative is zero and hence, we
can write (1), (2) and (3) as follows :
(sin
+ C)
=cos
d
x
x
dx
, 
3
2
(
+ C)
3
=
d
x
x
dx
and 
(
x+ C) =
x
d
e
e
dx
Thus, anti derivatives (or integrals) of the above cited functions are not unique Actually, there exist infinitely many anti derivatives of each of these functions which
can be obtained by choosing C arbitrarily from the set of real numbers For this reason
C is customarily referred to as arbitrary constant In fact, C is the parameter by
varying which one gets different anti derivatives (or integrals) of the given function