Summary
In this paper two approximate formulae have been developed for calculation of the integral òT0Tmexp(-E/RT)dT by using integration-by-parts approaches. They are in the following forms: I(m,T) = (RTm+2)/(E+(m+2)RT)exp(-E/RT) I(m,T) = (RTm+2)/(E+(m+2)(0.00099441E+0.93695599RT)exp(-E/RT) The validity of the two formulae has been confirmed and their accuracies have been tested with data from numerical calculating. In contrast to existing other integral methods, both the present approaches are simply used, accurate, and can be used for arbitrary values of m.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wanjun, T., Yuwen, L., Xil, Y. et al. Approximate formulae for calculation of the integral òT0Tmexp(-E/RT)dT. J Therm Anal Calorim 81, 347–349 (2005). https://doi.org/10.1007/s10973-005-0790-7
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10973-005-0790-7