$\"\"$

The integral is $\"\"$ .

$\"\"$ is improper because the denominator $\"\"$ .

$\"\"$

$\"\"$ .

The integral is undefined at $\"\"$ , which does not lies in the interval $\"\"$ .

Therefore, the integral is not improper.

The integral is continuous on $\"\"$ .

$\"\"$

Not improper; Continuous on $\"\"$ .