INTEGRATION OF RATIONAL FRACTION AND IDENTICAL RELATIONSOF ELEMENTARY FUNCTIONS OF COMPLEX ARGUMENT

The correctness of the unified approach to integration of rational fractions is justified if there is a product of linear complex conjugate polynomials in the denominator. On its basis, a procedure has been implemented that made it possible to express the real and imaginary parts of the natural logarithm of a complex argument through elementary functions of two variables. This made it possible to prove Euler's formula without using power series theory.