It may be noticed, that in the general case, observing that x = a, x — b give 
y = 0, y = 1, the integral 
rQ--yY{K-yfdy, 
J Q y a (l-yy (l _ uy y dy. 
which is expressible by means of a hypergeometric series having u for its argument 
or fourth element. 
2, Stone Buildings, Lincolns Inn, Feb. 1854