The graph of spectral intensity \(I\) as a function of wavelength \(\lambda\) for a blackbody radiator at an initial absolute temperature \(T_1\) has a total area \(A_1\) bounded by the curve and the horizontal axis. The peak spectral intensity occurs at wavelength \(\lambda_1\). The temperature of the blackbody is then adjusted to a new absolute temperature \(T_2\) such that the peak spectral intensity occurs at wavelength \(\lambda_2 = \dfrac{2}{3}\lambda_1\). What is the new area \(A_2\) under the spectral intensity curve in terms of \(A_1\)?