The function changes its sign from negative to positive, then antiderivative of
has a local minimum.
The function changes its sign from positive to negative, then antiderivative of
has a local maximum.
Observe the graph .
The function changes from positive to negative, then the antiderivative of
has a local maximum.
The graph has a local maximum.
Therefore the antiderivative of is graph
.
The antiderivative of is graph
.