Abstract
The aim of this paper is to calculate some improper double integrals. We consider the plane deformation of an elastic half-space under the action of load applied to its surface. It is shown that a well-known expressions for one of the normal stresses can be represented in another form containing an improper triple integral with a logarithmic kernel. We give examples of calculating the triple integral for specific loads. As a result, we give the values of five improper double integrals expressed in terms of elementary functions.
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