Problem

Evaluate the integral by interpreting it in terms of areas. \[ \int_{-0}^{0}\left(2+\sqrt{81-x^{2}}\right) d x \] Question Help: Message instructor

Solution

Step 1 :The integral is evaluated from 0 to 0, which means the lower and upper limits of the integral are the same.

Step 2 :In such cases, the integral of any function over an interval of zero width is always 0.

Step 3 :Therefore, the integral of \(2+\sqrt{81-x^{2}}\) from 0 to 0 is \(\boxed{0}\)

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Source: https://solvelyapp.com/problems/pzEYkrvsq1/

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