and pi

G. J. Tee
1967 Computer journal  
By evaluating the most complicated integral C 4 , for a sequence of values of H starting with -0-95, and using both the recurrence relations (53),. . ., (56) and Gaussian integration formulae of various orders, it was found that, using floating-point arithmetic with a precision of about 9 decimal places, the integrals could be obtained correct to at least 6 significant decimal places by using the analytical formulae for H < -0-4 and H > 0-5, and for -0-4 < # < 0-5 using the Gauss formula of order 5.
more » ... auss formula of order 5.
doi:10.1093/comjnl/9.4.393 fatcat:2kjy7l3fqrgwjkw5q6rlb3h26q