SECT. I.] APPLICATION OF THE SOLUTION. 357 



and then from 



x + IqJkt = - oo to x + 2q*/ki = 0. 

 For the first part, we have 



*&amp;gt; 



and replacing lc by its value -^ we have 



VTT 

 -^-&amp;lt; /S / 



or _ Ji 



TT T r 



Denoting the quantity q + by r the preceding expression 



becomes 



e~ Xl v^s ffu r 



7= ecus \dre- r \ 



VTT J 



this integral idre-^ must be taken by hypothesis from 



* + 2 2y &quot;^ ==0 



to 



= 00, 



/yi 



or from a = - 7= to a = oo , 



9 



a; 



, 

 or from r = - __ to r = 



iKi 



VCD 



The second part of the integral is 



, 



