Observe the graph .
In the interval , the function
is negative then the antiderivative
is decreases.
In the interval , the function
is positive then the antiderivative
is increases.
In the interval , the function
is negative then the antiderivative
is decreases.
.
The function changes its sign from negative to positive at
, then the antiderivative
has a local minimum.
The function changes its sign from positive to negative at
, then the antiderivative
has a local maximum.
The antiderivative has a inflection point, where the function
has either local maximum or local minimum values.
Therefore the antiderivative has a inflection points at
,
and
.
Graph :
\Graph the antiderivative using the characteristics obtained above :
Graph of the antiderivative is
.