arc length by integration

the length of the curve of a continuous function $\text{[math]}$ in the interval $\text{[math]}$ is defined as:
$\text{[math]}$

find the length of the following curve in the interval $\text{[math]}$
$\text{[math]}$ first we find the derivative
$\text{[math]}$ we use the formula:
$\text{[math]}$

find the length of the curve of the function $\text{[math]}$ in the interval $\text{[math]}$
$\text{[math]}$