Geodesic
Integration formulas of tenth order and higher
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2010), pp. 3-7

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Nowadays, due to the considerable growth of computer capacity, the development of more efficient quadrature formulas may seem unnecessary. However, if the calculation of each integrand value requires much computational time or we have to study the dependence of the integral on a large number of parameters the integrand is deteremined through, then it is necessary to use more efficient formulas. 
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R. R. Aidagulov; M. V. Shamolin. Integration formulas of tenth order and higher. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2010), pp. 3-7. http://geodesic.mathdoc.fr/item/VMUMM_2010_4_a0/