Changing variable integral mmn15 1B

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    Integral Variable
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Homework Help Overview

The problem involves evaluating a double integral with the integrand ln(1+x²+y²) over a specified region in the xy-plane. The subject area pertains to multivariable calculus and integration techniques.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the possibility of converting the integral into polar coordinates, questioning the implications for the limits of integration. There is also a query regarding the differential elements dx and dy in this context.

Discussion Status

Some participants have suggested exploring polar coordinates as a potential approach, while others are seeking clarification on the integration process and the relevant textbook guidance. Multiple interpretations of the setup are being considered.

Contextual Notes

There may be constraints related to the specific requirements of the homework assignment, including the need to adhere to certain integration techniques or coordinate systems.

nhrock3
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[tex]\int_{0}^{5}\int_{0}^{\sqrt{{25-x^{2}}}}ln(1+x^{2}+y^{2})dxdy[/tex]
how to solve it?
 
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You might want to try converting it into polar coordinates:

x=rcosθ
y=rsinθ

For the limits you would need to see what shape they are describing.
 
what about dx dy
 
What does your textbook say about integrating in polar coordinates?
 

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