Maple Professional
Maple Academic
Maple Student Edition
Maple Personal Edition
Maple Player
Maple Player for iPad
MapleSim Professional
MapleSim Academic
Maple T.A. - Testing & Assessment
Maple T.A. MAA Placement Test Suite
Möbius - Online Courseware
Machine Design / Industrial Automation
Aerospace
Vehicle Engineering
Robotics
Power Industries
System Simulation and Analysis
Model development for HIL
Plant Modeling for Control Design
Robotics/Motion Control/Mechatronics
Other Application Areas
Mathematics Education
Engineering Education
High Schools & Two-Year Colleges
Testing & Assessment
Students
Financial Modeling
Operations Research
High Performance Computing
Physics
Live Webinars
Recorded Webinars
Upcoming Events
MaplePrimes
Maplesoft Blog
Maplesoft Membership
Maple Ambassador Program
MapleCloud
Technical Whitepapers
E-Mail Newsletters
Maple Books
Math Matters
Application Center
MapleSim Model Gallery
User Case Studies
Exploring Engineering Fundamentals
Teaching Concepts with Maple
Maplesoft Welcome Center
Teacher Resource Center
Student Help Center
student[changevar] - perform a change of variables
Calling Sequence
changevar(s, f)
changevar(s, f, u)
changevar(t, g, v)
Parameters
s
-
expression of the form h(x) = g(u), defining x as a function of u
f
expression such as Int(F(x), x = a...b)
u
name of the new integration (summation) variable.
t
set of equations defining a multivariate change of variables
g
Double or Triple integral
v
list of the new variables
Description
Important: The student package has been deprecated. Use the superseding commands, IntegrationTools[Change] and Student[MultivariateCalculus][ChangeofVariables], instead.
The changevar function performs a ``change of variables'' for integrals, sums, or limits.
The first argument is an equation defining the new variable in terms of the old variable. If more than two variables are involved, the new variable must be given as the third argument. The second argument is the expression to be rewritten and usually contains Int, Sum, or Limit.
The changevar command acts like powsubs if none of Int, Sum, or Limit appears in f.
The change of variables may be implicitly defined, for example, .
The unevaluated forms Int, Limit, and Sum should be used, rather than int, limit, and sum. They can be evaluated later by using the value command.
Limited capabilities exist in connection with double and triple integrals. In this case, the equations defining the multivariate change of variables are given as a set, and the new variables are given in a list.
The command with(student,changevar) allows the use of the abbreviated form of this command.
Examples
See Also
IntegrationTools[Change], PDEtools[dchange], Student, student(deprecated)[Int], student(deprecated)[Limit], student(deprecated)[powsubs], student(deprecated)[Sum], Student[MultivariateCalculus][ChangeOfVariables], subs, value
Download Help Document