### Home > APCALC > Chapter 12 > Lesson 12.1.2 > Problem12-26

12-26.

Multiple Choice: The arc length of $y = \tan(x)$ over $0 \leq x \leq \frac { \pi } { 4 }$, is given by:

1. $\int _ { 0 } ^ { \pi / 4 } \sqrt { 1 + \operatorname { sec } ^ { 4 } ( x ) } d x$

1. $\int _ { 0 } ^ { \pi / 4 } \sqrt { 1 + \operatorname { tan } ^ { 2 } ( x ) } d x$

1. $\int _ { 0 } ^ { \pi / 4 } \operatorname { sec } ( x ) d x$

1. $\int _ { 0 } ^ { \pi / 4 } \operatorname { sec } ^ { 2 } ( x ) d x$

1. $\int _ { 0 } ^ { \pi / 4 } ( 1 + \operatorname { sec } ^ { 4 } ( x ) ) d x$

$\text{arc length}=\int_0^{\pi/4}\sqrt{1+(y^\prime)^2}dx$