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Approximate formulae for calculation of the integral ò^T₀T^mexp(-E/RT)dT

Authors:	T Wanjun L Yuwen Y Xil W Zhiyong and W Cunxin

Institution:	(1) College of Chemistry and Molecular Science, Wuhan University, Wuhan 430072, China;(2) College of Chemistry and Molecular Science, Wuhan University, Wuhan 430072, China;(3) College of Chemistry and Molecular Science, Wuhan University, Wuhan 430072, China;(4) College of Chemistry and Molecular Science, Wuhan University, Wuhan 430072, China;(5) College of Chemistry and Molecular Science, Wuhan University, Wuhan 430072, China

Abstract:	Summary In this paper two approximate formulae have been developed for calculation of the integral ò^T₀T^mexp(-E/RT)dT by using integration-by-parts approaches. They are in the following forms: I(m,T) = (RT^m+2)/(E+(m+2)RT)exp(-E/RT) I(m,T) = (RT^m+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.

Keywords:	integral non-isothermal analysis approximate formulae integration-by-parts
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