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The double exponential formula was introduced for calculating definiteintegrals with singular point oscillation functions and Fourier-integrals. Thedouble exponential transformation is not only useful for numerical computationsbut it is also used in different methods of Sinc theory. In this paper we usedouble exponential transformation for calculating particular improperintegrals. By improving integral estimates having singular final points. Bycomparison between double exponential transformations and single exponentialtransformations it is proved that the error margin of double exponentialtransformations is smaller. Finally Fourier-integral and double exponentialtransformations are discussed.

Criteria for the Application of Double Exponential Transformation