Lab 5: An Application of Integration - Arc Length

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In this lab, we will explore how we can calculate arc length using a definite integral. This lab corresponds to section 6.3 in our physical textbook, so feel free to use the textbook as a resource while completing this lab.

After completing this lab, you should be able to do the following:

Explain what is meant by the ‘arc length’ of a function.
Describe how to approximate the arc length of a function on a specified interval using a fixed number of line segments.
Give the definition of a smooth function and determine if a particular function is smooth on an interval.
State a formula that gives the arc length of a smooth function on a specified interval.
Determine the arc length of a smooth function using the arc length formula.
Find the arc length of a function that is smooth with respect to y but not x.
Find the arc length of a function that is not smooth at its endpoints but has symmetry.