Chapter 10.3, Problem 48ES

Determine whether the statement is true or false. Explain your answer.

The arc length of the polar curve $r=\sqrt{\theta }\text{for}\text{0}\le \theta \le \pi /2$ is given by

$L={\displaystyle {\int }_0^{\pi /2}\sqrt{1+\frac{1}{4\theta }}d\theta }$