Chapter 10.3, Problem 3QCE

(a) To find the arc length $L$ of the polar curve $r=f\left(\theta \right)\left(\alpha \le \theta \le \beta \right),$ we can use the formula $L=\text{\_\_\_\_\_\_}\text{.}$

(b) The polar curve $r=\sec \theta \left(0\le \theta \le \pi /4\right)$ has arc length $L=\text{\_\_\_\_\_\_}\text{.}$