Homework Help

Lesson: Arc Length of a Curve y = ƒ(x)

In this lesson, we will learn how to set up the integral that gives the arc length of the smooth curve defined as y=f(x) between two points.

Worksheet: Arc Length of a Curve y = ƒ(x) • 6 Questions

Q1:

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

Q2:

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

A3.14159
B5.46410
C1.57080
D1.46410
E3.46410

Q3:

Let on the interval . By setting the arc length function to be the arc length between and , find the coordinates of the point on this curve such that the arc length from to is 1. Give your answer to 4 decimal places.

Preview

Dashboard

Lesson: Arc Length of a Curve y = ƒ(x)

Worksheet: Arc Length of a Curve y = ƒ(x) • 6 Questions

Related Lessons

Rectilinear Motion as an Application of Integration

Finding the Volume of a Solid by Rotating around a Vertical Line Using the Shell Method

Finding the Volume of a Solid by Rotating around the Horizontal Line Using the Washer Method

Related Worksheets

Rectilinear Motion as an Application of Integration

Finding the Volume of a Solid by Rotating around a Vertical Line Using the Shell Method

Finding the Volume of a Solid by Rotating around the Horizontal Line Using the Washer Method