Problem:
Find the arclength of the function $f(x) = e^{3 x}-e^{-3 x^3}$ on the interval $x = 0$ to $x = 9$
Answer:
$\int_0^9 \sqrt{\left(9 e^{-3 x^3} x^2+3 e^{3 x}\right)^2+1} \, dx$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/arclength/4062.txt'}