Double integrals with absolute function

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SUMMARY

The discussion focuses on evaluating double integrals involving the absolute function, specifically the integral of the function |y - x²|. Participants emphasize the importance of determining the sign of the expression y - x² within the integration region. It is established that the sign remains constant over the specified region, which simplifies the evaluation process. Understanding this concept is crucial for correctly setting up and solving the integral.

PREREQUISITES
  • Understanding of double integrals in calculus
  • Familiarity with absolute functions and their properties
  • Knowledge of the Cartesian coordinate system
  • Ability to analyze regions of integration
NEXT STEPS
  • Study the properties of absolute functions in calculus
  • Learn how to determine the sign of expressions in integration regions
  • Practice evaluating double integrals with various functions
  • Explore techniques for changing the order of integration
USEFUL FOR

Students studying calculus, particularly those focusing on double integrals and absolute functions, as well as educators looking for teaching strategies in these topics.

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Homework Statement



[PLAIN]http://img704.imageshack.us/img704/453/50838240.jpg

i have trouble with absolute function, can somebody help me how to start
 
Last edited by a moderator:
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Ask youself, what is the sign of y-x^{2} in the region you're integrating over? I'll give you a hint, it's of constant sign, what does this mean?
 

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