# Curvature and Radius of Curvature for a function of x.

This video explains how to determine curvature using short cut formula for a function of x.

# Curvature and Radius of Curvature for 2D Vector Function

This video explains how to determine curvature using short cut formula for a vector function in 2D.

# Graph Space Curves Given as a Vector Function Using 3D Calc Plotter

This video explains how to graph a space curve using the 3D Calc Plotter JavaScript App.

# Evaluate a Line Integral using Green’s Theorem

This video explains how to evaluate a line integral using Green’s Theorem.

# Ex: Approximate the Area Under a Curve Using Rectangles (Left Using Graph)

This video explains how to use rectangles to approximate the area under a curve.  The left side approximation is used.  The function values must be estimated from the graph.

# Ex: Approximate the Area Under a Curve Using Rectangles (Right Using Graph)

This video explains how to use rectangles to approximate the area under a curve.  The right side approximation is used.  The function values must be estimated from the graph.

# Ex: Approximate the Area Under a Curve Using Rectangles (Midpoint Using Graph)

This video explains how to use rectangles to approximate the area under a curve.  The midpoint aproximation is used.  The function values must be estimated from the graph.