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unscientific
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Homework Statement
Homework Equations
The Attempt at a Solution
Are my limits of integration right?
Simple Volume Integral, limits of integration
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SUMMARY
The discussion centers on the evaluation of a triple integral with specific limits of integration for the variables x, y, and z. The participant confirms that y ranges from 0 to 2 and z from 0 to 2, while x is defined as ranging from 0 to 4 - z². The participant questions whether changing the order of integration would yield the same result, indicating a solid understanding of the integration process and the relationship between the variables involved.
PREREQUISITES- Understanding of triple integrals in calculus
- Familiarity with limits of integration
- Knowledge of variable substitution in integrals
- Basic concepts of multivariable functions
- Study the properties of triple integrals in calculus
- Learn about changing the order of integration in multiple integrals
- Explore the application of limits of integration in multivariable calculus
- Investigate the geometric interpretation of triple integrals
Students studying calculus, particularly those focusing on multivariable integration, as well as educators looking for examples of integration techniques and limits of integration.
Are my limits of integration right?
- #2
HallsofIvy
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I would have done the integral in a different order. Obviously y will go from 0 to 2, z from 0 to 2, and, for each z, x from 0 to 4- z^2.
- #3
unscientific
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HallsofIvy said:
That should give the same answer, right?
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