Change of variables
Definition
Change of variables refers to substituting one variable with another variable or expression in order to simplify an integral or equation.
Analogy
Imagine you have a recipe for cookies, but you want to make twice as many. Instead of doubling all the ingredients individually, you can change the variable "number of cookies" from N to 2N, making it easier to adjust the recipe.
Related terms
Substitution method: A technique used in calculus where one variable is replaced by another variable or expression.
Jacobian determinant: A mathematical tool used when changing variables in multiple integrals.
Chain rule: A rule used for finding derivatives when there are nested functions involved.
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