126 MATHEMATICAL FORMULA AND ELLIPTIC FUNCTIONS 



k may be any real number. 



k 



L / - 9\ 



2. sm j k log (# + V i + x 2 ) } = x -- - j 



2/^2 _|_ i 2 \ (ff. i -,2^ 



+ i L^ 2_ X 5 _ m ^ ^ x*<I. 



6.457 



i - 2x cos a + a; 2 

 where, 



6.460 



- 



2! 3! 



_ 

 2 6 24 



6.470 



i. sinho; = ^ + -+-+- + 



3!^5!^7! + ' ' ' 



, (x log a) 2 (^ log a) 3 

 . a* = i + x log a + A ^ ^ + ^ - &-+- + . . . 



o * 



