18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part B: Partial Fractions, Integration by Parts, Arc Length, and Surface Area

Session 78: Computing the Length of a Curve

« Previous | Next »


To find the length of a curve we break it up into infinitesimal pieces. Each piece is approximately a straight line segment; we use differential notation to compute and sum the lengths of these pieces.

Lecture Video and Notes

Video Excerpts

Clip 1: Introduction to Arc Length

Clip 2: Example: y=mx

Clip 3: Example: Circular Arc

Clip 4: Example: Length of a Parabola

Recitation Video

Arc Length of y=x3/2

Worked Example

Arc Length of y=ln(x)

« Previous | Next »

Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Recitation Videos