Pages similar to: Examples of changing the order of integration in double integrals Double integral examples Examples of integrating double integrals over rectangles and triangles. Double integral change of variable examples Examples of calculating double integrals through changing variables. Illustrated example of changing variables in double integrals An example illustrating with interactive graphics how changing variables transforms regions in the plane. Triple integral examples Examples showing how to calculate triple integrals, including setting up the region of integration and changing the order of integration. 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 double integrals The definition of a double integral is motivated through a hair density example. Introduction to changing variables in triple integrals Introduction to the concepts behind a change of variables in triple integrals. Double integrals where one integration order is easier Illustration of a region where integrating a double integral in one order is must easier than integrating in the other order. 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. Double integrals as iterated integrals A description of how to convert double integrals into two single integrals. Double integrals as volume Explanation of how double integrals could be used to represent volume. Triple integral change of variables story Story illustrating the process of changing variables in triple integrals. 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. Exploring the derivative of the exponential function A guided tour into the reasons that the derivative of the exponential function with base e is the function itself. Introducing rabbit predators Exploring the interactions between fox and rabbit populations when foxes are introduced to an exploding population of rabbits. Introduction to triple integrals An introduction to the definition of triple integrals as well as their formulation as iterated integrals. Area calculation for changing variables in double integrals A derivation of how a mapping that changes variables in double integrals transforms area. 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. Spruce budworm outbreak model A graphical analysis of a differential equation model reveals how the spruce budworm could devastate forests every 40 years.