Lesson: Arc Length by Integration Mathematics • Higher Education

In this lesson, we will learn how to use integration to find the length of a curve.

Lesson Plan

Students will be able to

find the arc length of a curve defined by using integration,
find the arc length of a curve defined by using integration,
define the arc length function , measuring the arc length from a point a to a point .

Q1:

Using a trigonometric substitution, determine the arc length of the curve between and .

Q2:

Write the integral required to calculate the length of the sine curve between and . Do not evaluate it.

Q3:

Calculate the arc length of the curve between and , giving your answer to 5 decimal places.