### Pages similar to: Illustrated example of changing variables in double integrals

- Area calculation for changing variables in double integrals

A derivation of how a mapping that changes variables in double integrals transforms area. - 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. - Double integral change of variable examples

Examples of calculating double integrals through changing variables. - Introduction to changing variables in triple integrals

Introduction to the concepts behind a change of variables in triple integrals. - Volume calculation for changing variables in triple integrals

A derivation of how a mapping that changes variables in triple integrals transforms volume. - Triple integral change of variables story

Story illustrating the process of changing variables in triple integrals. - Examples of changing the order of integration in double integrals

Examples illustrating how to change the order of integration (or reverse the order of integration) in double integrals. - Triple integral examples

Examples showing how to calculate triple integrals, including setting up the region of integration and changing the order of integration. - 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. - The cross section method for determining triple integral bounds

Explanation of the cross section 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 double integrals

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

Examples of integrating double integrals over rectangles and triangles. - Double integrals as volume

Explanation of how double integrals could be used to represent volume. - Determinants and linear transformations

A description of how a determinant describes the geometric properties of a linear transformation. - Double integrals as iterated integrals

A description of how to convert double integrals into two single integrals. - Triple integral change of variable examples

Examples of changing variables in triple integrals. - Using the Forward Euler algorithm to solve pure-time differential equations

By pretending that the slope of a function is constant over small intervals, we following tangent lines to estimate the solution to pure-time differential equations. - Length, area, and volume factors

A summary of the expansion factors that arise from mappings in integrals of multivariable calculus. - Area and definite integrals

Integrating to find the area under a curve or the area between two curves.