Introducing complex numbers into basic growth functions - (II) applying complex representation of '(-1)+1' to definite integral of exponential function with base e expanded into infinite series

The present study was conducted to investigate the application of complex representation of '(-1)+1' to the definite integral of exp(t) expanded into infinite series. The results obtained were as follows. There were two sets of '(-1)+1' appearing in the calculation of definite integral of exp(t). The complex representation of '(-1)+1' left a kind of complex number by the hypothetic breakdown of multiplication form connecting complex numbers constructing '(-1)+ 1', but the complex number which came form the first '(-1)+1' was offset by that coming from the second '(-1)+1'. This hypothetic phenomenon might be related to the fluctuation between '0' and '(-1)+1' occurring whenever the increase in weight was calculated. This application did not affect the calculation of weight increase, suggesting that the definite integral of exp(t) was attended hypothetically by pair appearances and disappearances of complex numbers with their opposites.