H. E. SoPER, A. W. Young, B. M. Cave, A. Lee, K. Pearson '611 
To a first approximation 
4709,8713,1 6 / •0000,0000,86 \ 
^ ~ 1-4101,6147 V 1-4101,6147 ) ' 
arranging it thus as most machines cannot divide by more than nine figures. 
Hence 
= -3339,9517,625. 
Substitute in the term and we find 
^2 = -3339,9970,356, 
or the value of q^^^^ = -1231,9333,9997 to twelve figures. Fovmd by the continuous 
process it was -1231,9333,9996, so that the vahie tabled is correct to the tenth 
figure. 
TABLE X. Values of the Integral qn = sin" ^(f)d<^= "cos" ^(f)d(f). 
.'o .(I 
n 
2« 
71 
In 
n 
In 
1 
1-5707,9632,68 
36 
•2103,41 14,,55 
71 
•1492,6566,48 
2 
1-0000,0000,00 
37 
•2074,4030,47 
72 
•1482,1822,53 
3 
-7853,9816,34 
38 
•2046,.5624,97 
73 
■1471,92.53,06 
4 
•6666,6666,67 
39 
•2019,8134,93 
74 
■1461,8783,86 
5 
•5890,4862,25 
40 
•1994,0865,35 
75 
•1452,0344,23 
6 
•5333,3333,33 
41 
•1969,3181,56 
76 
•1442,3866,74 
7 
•4908,7385,21 
42 
•1945,4502,78 
77 
•1432,9287.07 
8 
■4.571,428.5,71 
43 
•1922,4296,29 
78 
•1423,654.3,80 
9 
•4295,1462,06 
44 
•1900,2072,49 
79 
•1414,5.578,26 
10 
•4063,4920,63 
45 
•1878,7380,46 
80 
•1405,6334,38 
11 
•3865,6315,85 
46 
•1857,9804,21 
81 
•1396.8758,53 
12 
•3694,0836,94 
47 
■1837,8959,15 
82 
■1388,2799,39 
13 
•3543,4956,20 
48 
■1818,4489,23 
83 
■1379,8407,82 
14 
•3409,9234,10 
49 
■1799,6064,16 
84 
■1371,5536,75 
15 
•3290,3887,90 
50 
■1781,3377,19 
85 
■1363,4141,06 
16 
•3182,5951,83 
51 
■1763,6142,88 
86 
■1355,4177,49 
17 
•3084,7394,91 
52 
■1746,4095,29 
87 
■1347,.5604,54 
18 
•2995,3837,01 
53 
•1729,6986,29 
88 
■1339,8382.35 
19 
•2913,3650,74 
54 
•1713,4584,06 
89 
•1332,2472,67 
20 
•2837,7319,28 
55 
•1697,6671,73 
90 
•1324,7838,73 
21 
•2767,6968,21 
56 
•1682,3046,16 
91 
•1317,4445,19 
22 
•2702,6018,36 
57 
•1667,3516,87 
92 
•1310,2258,08 
23 
•2641,8924,20 
58 
•1652,7905,00 
93 
•1303,1244,70 
24 
•2585,0974,08 
59 
•1638,6042,44 
94 
•1296,1373,58 
25 
•2531,81.35,69 
60 
•1624,7771,02 
95 
•1289,2614,44 
26 
•2481,69.35,12 
61 
•1611,2941,74 
96 
•1282,4938,07 
27 
2434,4361,24 
62 
•1598,1414,12 
97 
•1275,8316,37 
28 
•2389,7789,37 
63 
•1585,3055,58 
98 
•1269,2722,22 
29 
•2347,4919,77 
64 
•1572,7740,88 
99 
•1262,8129,47 
30 
•2307,3727,67 
65 
•1560,5351,59 
100 
•1256,4512,90 
31 
■2269,2422,44 
66 
•1548,5775,63 
101 
•1250,1848,17 
32 
•2232,9413,87 
67 
■1536,8906,87 
102 
•1244,0111,78 
33 
•2198,3284,24 
68 
•1525,4644,65 
103 
•1237,9281,04 
34 
•2165,2764,98 
69 
•1514,2893 53 
104 
•1231,9334,00 
35 
•2133,6717,06 
70 
•1503,3562,85 
105 
•1226,0249,49 
Biometrika xi 
25 
