What is the arc length of the polar curve #f(theta) = 5sintheta-4theta # over #theta in [pi/8, pi/3] #?
The derivation of the arc length of a polar curve over the interval
Applying to this question, we must first find the derivative of the function with respect to
The formula for the arc length of a polar curve over the interval
Therefore, the arc length for the given function over the given interval would be:
Using a graphing utility (for the sake of simplicity), the integral equals about