### Pages similar to: Scalar surface integral examples

- Vector surface integral examples

Examples of calculating the integral of vector fields over parametrized surfaces. - Introduction to a surface integral of a scalar-valued function

How to define the integral of a scalar-valued function over a parametrized surface. - Introduction to a surface integral of a vector field

How to define the integral of a vector field over a parametrized surface, illustrated by interactive graphics. - The integrals of multivariable calculus

A summary of the integrals of multivariable calculus, including calculation methods and their relationship to the fundamental theorems of vector calculus. - Stokes' theorem examples

Examples illustrating how to use Stokes' theorem. - Triple integral examples

Examples showing how to calculate triple integrals, including setting up the region of integration and changing the order of integration. - Triple integral change of variable examples

Examples of changing variables in triple integrals. - Parametrized surface area example

An example of calculating the surface area of a parametrized surface. - Examples of scalar line integrals

Examples demonstrating how to calculate line integrals of scalar-valued functions. - Introduction to changing variables in triple integrals

Introduction to the concepts behind a change of variables in triple integrals. - Double integral change of variable examples

Examples of calculating double integrals through changing variables. - Double integrals as volume

Explanation of how double integrals could be used to represent volume. - Introduction to a line integral of a scalar-valued function

Introduction with interactive graphics illustrating the line integral of a scalar-valued function and informally deriving the formula for calculating the integral from the parametrization of the curve. - Introduction to changing variables in double integrals

Introduction to the concepts behind a change of variables in double integrals. The transformation is illustrated with interactive graphics. - The shadow method for determining triple integral bounds

Explanation of the shadow method for turning a triple integral into a double integral combined with a single integral in order to compute the limits of integration. - Introduction to a line integral of a vector field

The concepts behind the line integral of a vector field along a curve are illustrated by interactive graphics representing the work done on a magnetic particle. The graphics motivate the formula for the line integral. - Orienting surfaces

How to orient a surface by choosing a normal vector. - Vector line integral examples

Example of calculating line integrals of vector fields. - Introduction to double integrals

The definition of a double integral is motivated through a hair density example. - Double integral examples

Examples of integrating double integrals over rectangles and triangles.