Calculating area of an ellipse

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    Area Ellipse
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Homework Help Overview

The discussion revolves around calculating the area of an ellipse, with participants examining their work and identifying potential errors in their calculations, particularly regarding the use of parentheses in their equations.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are reviewing their calculations and questioning the placement of parentheses in their equations. There is an exploration of whether the approximations used extend into multiple quadrants and discussions about the correctness of terms in their integrals.

Discussion Status

The discussion is ongoing, with participants providing feedback on each other's work. Some have identified potential errors, while others express confidence in their calculations. There is no explicit consensus, but guidance has been offered regarding the placement of parentheses and the structure of the integrals.

Contextual Notes

Participants are working under the constraints of homework rules, which may limit the information they can share or the methods they can use. The focus is on clarifying their reasoning and assumptions rather than arriving at a final solution.

Miike012
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Where did I go wrong? I showed all my work in the paint document...

My thought is that I am using the incorrect approx rec and I am guessing that it extends into both the first and second quad, and not just the first quad, as I indicated in my picture.
 

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I added another picture... I hope it is more legible.
 

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Miike012 said:
Where did I go wrong? I showed all my work in the paint document...

My thought is that I am using the incorrect approx rec and I am guessing that it extends into both the first and second quad, and not just the first quad, as I indicated in my picture.
It appears to be simply a matter of a misplaced parenthesis.
 
I looked at it again and It looks correct to me, the parenthesis that is.
 
Miike012 said:
I looked at it again and It looks correct to me, the parenthesis that is.

The second term in your indefinite integral should be (1/2)*a^2*arcsin(2/a).
 
Thank you... Actually I did leave out a parenthesis... the factor of 1/2 of the first term inside the parenthesis is actually suppose to be a factor of both terms in side the parenthesis.
 
Yes, I should have been more specific about where the missing parenthesis was to be located.
 

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