\[\int_{-\infty}^{x}\operatorname{Ai}\left(t\right)\,\mathrm{d}t=\pi^{-1/2}(-x)^%
{-3/4}\*\cos\left(\tfrac{2}{3}(-x)^{3/2}+\tfrac{1}{4}\pi\right)+O\left(|x|^{-9%
/4}\right),\]