We consider a closed type quadrature, which is an extension of Qn1(f), as follows: tex2html_wrap_inline55

tex2html_wrap_inline57

tex2html_wrap_inline59

tex2html_wrap_inline61 If we use tex2html_wrap_inline63 and tex2html_wrap_inline65,we obtain the following information from Maple V Release 4:

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By comparing the open type and closed type quadratures, we see that closed type quadrature is more efficient in this case.