Find the arc length of the function below?
#y=\ln(\secx)# , with parameters #0\lex\le\pi/4# ?
1 Answer
The arc has a length of
Explanation:
For a function in the form
The given function
Differentiate using the Chain Rule:
Then,
Recall the identity
This is a common integral and worth memorizing. In general,
Then,
Absolute value bars are dropped because secant and tangent are positive on
The arc has a length of