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

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

Steps

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 \(\boxed{0}\)