01
Arc length - reversed
and roles Find the arc length of the curve that satisfies the equation
over .
02
Arc length - tricky algebra
Find the arc length of the curve
for . (Hint: expand under the root, then simplify, then factor; now it’s a square and the root disappears.)
03
Arc length - tricky integration
Find the arc length of the curve
for . (Hint: the integral can be done using either: (i)
-sub then trig sub, or (ii) ‘rationalization’ then partial fractions.)