Problem:
Find the arclength of the function $f(x) = -\tan \left(\frac{x}{2}\right)$ on the interval $x = 3$ to $x = 13$
Answer:
$\int_3^{13} \sqrt{\frac{1}{4} \sec ^4\left(\frac{x}{2}\right)+1} \, dx$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/arclength/7323.txt'}