The function is ,
.
Anti derivative of is
.
Anti derivative of is
.
Therefore the anti derivative of is
, where
is a constant.
Substitute and
in
.
Therefore the antiderivative of is
.
Verification :
\Graph :
\Graph the function and antiderivative
:
Observe the graph.
\The function over the interval
, then
is increasing over the interval
.
The function over the interval
, then
is decreasing over the interval
.
Therefore the antiderivative of is
.
.