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[Solved]How to Integrate from an implicit function?

Posted 2 months ago
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I am having a hard time c calculating the Area from an implicit function. I am trying to integrate an area under the function implicitly stated as next. I have used this resource so I tried:

The problem is that the last result of N[%] is not accurate as far as I understand.

Is there anyway to get this to work using basic methods and without getting into double integration steps?

The area of that region in the picture is in fact: 1/6.

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reg = ImplicitRegion[Sqrt[x] + Sqrt[y] <= 1, {x, y}]; Area[reg]
(* 1/6 *)
Posted 2 months ago

I am sorry. I did everything wrong, including explaining the area. I found the solution:

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