In the study of errors, the error function is a special function that appears in many scientific theories; it appears in the solutions of many physical and engineering problems, such as vibrating beams, heat and mass transfer, and many other problems that contain an error function (erf.) and a complementary error function (erfc.). As part of solving physical and engineering problems, integral transforms have been used to find the results of errors and complementary errors. In this paper, the efficiency of the novel integral transform, the SEE integral transform, has been demonstrated by providing an exact solution to the improper integrals for some applications that contain error functions without unnecessary calculations.

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