Calculating area of an ellipse

[Miike012]

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.

 

[Miike012]

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

 

[SammyS]

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.

 

[Miike012]

I looked at it again and It looks correct to me, the parenthesis that is.

 

[Dick]

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).

 

[Miike012]

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.

 

[SammyS]

Yes, I should have been more specific about where the missing parenthesis was to be located.