$\"\"$

The function is $\"\"$ .

Fundamental theorem of calculus:

If $\"\"$ is continuous on $\"\"$ , then the function $\"\"$ is defined by $\"\"$ is continuous on $\"\"$ and differentiable on $\"\"$ , then $\"\"$ .

Here $\"\"$ .

$\"\"$ .

Differentiate on each side with respect to $\"\"$ .

$\"\"$

Find the points of inflection by equating $\"\"$ .

$\"\"$

$\"\"$ and $\"\"$ .

The test intervals are $\"\"$ , $\"\"$ and $\"\"$ .

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

\ Interval \	Test Value	Sign of $\"\"$	Concavity
$\"\"$	$\"\"$	$\"\"$	Concave Up
$\"\"$	$\"\"$	$\"\"$	\ Concave Down \
$\"\"$	$\"\"$	$\"\"$	Concave Up

The curve is concave down on the interval $\"\"$ .

$\"\"$

The curve is concave down on the interval $\"\"$ .