8.1 Challenging Integral Applications
Question #3 (Medium): The Exact Length of the Curve
When the function is given fin terms of , there are two options to solve: 1) keep the function as it
is and take the derivatisince the length of the curve can be determined as
√ ( ) ; 2) rearrange the function if possible to be re-wrin terms of .
sometimes this may be possible and sometimes not. Option 1 is easier route.
Find the exact length of the curve.
Since the function is written for x in terms of y, and because