The nested Kholodenko-Silagadze quadrature \[ I_{n} = \int_{-\infty}^{\;\infty}ds_{1}\int_{-\infty}^{\;s_{1}}ds_{2}\int_{-\infty}^{\;s_{2}}ds_{3}\cdots \int_{-\infty}^{\;s_{2n-3}}ds_{2n-2}\int_{-\infty}^{\;s_{2n-2}}ds_{2n-1}\int_{-\infty}^{\;s_{2n-1}}ds_{2n}\cos(s_{1}^{2}-s_{2}^{2})\cos(s_{3}^{2}-s_{4}^{2})\cdots\cos(s_{2n-3}^{2}-s_{2n-2}^{2})\cos(...

The special case I\(_3\) of the Kholodenko-Silagadze multiple integral considered anew