I use this as my personal sandbox. Woot.
( a 2 b − 3 c − 1 a 3 b − 2 a ) − 2 {\displaystyle {({\frac {a^{2}b^{-3}c^{-1}a^{3}}{b^{-2}a}})}^{-2}} ∫ a b 1 + ( d y d x ) 2 {\displaystyle \int _{a}^{b}{\sqrt {1+({\frac {dy}{dx}})^{2}}}}