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Homework Statement
Can a single integral be used to solve a multi-variable equation, and can a triple integral be used to find the area under an y = f(x) curve?
What I'm getting at is whether or not single, double and triple integrals must be integrated with respect to their corresponding number of variables. My textbook shows single ##\int f(x) dx ##, double ##\int \int f(x,y) dy dx ## and triple ## \int \int \int f(x, y, z) dy dx dz ## but it never shows ##\int f(x,y)## nor ## \int \int \int f(x, y) dy dx dz ##
Homework Equations
n/a
The Attempt at a Solution
This isn't exactly a homework question, but I just want to understand the concept of integrals better.