Definite Integrals, with Physical Applications. 395 



34. Let this law of accumulation be expressed by the form 

 ~-, while the law of external tension is 77. f\%. ) . 



, (I (ft') 5.C d'itt'f „ 



term independent of /3 in {A + B. -~ + C. -55 + &c.| 

 o r// a 2 1 . 2 . a< 2 



coefficient of -5 in 75 -./(tH 



a «# a 2 1 . 2 . «# 2 ' 



And if we form the equation u=t .u.(l — u), we get by the 



theorem of Lagrange 



„_„_*». („., + <?. 4^-&c. 



a a 1.2 



(ifi a a 1 



&C. 



and .-. ^coefficient of | in {^/(^)}- j, I«/»^-(l»«W 



= coefficient of | in | ./(g . ^ (/3*.gj) . 

 To/. IV. Par* III. 3E 



