Calculation of shift coefficient of sine wave based on area under the curve and amplitude

Question

Is it possible to derive analytically the value of the shift coefficient ($m$) of the sine wave function (expressed as $f(x) = m + A*\sin(x)$) based on known area under the curve (both positive and negative)?. Or it has only a numerical solution?

Answer 1

If you mean about calculating the value of $m$ in terms of the depicted area, I am afraid there is not a closed form solution, only the numerical solution already included in the cited answer.