Shortcut for Finding Values of A, B and C etc.
Case I. When g( x) is expressible as the product of non-repeated line factors.
Trick To find A p put x = a in numerator and denominator after P deleting the factor( x— ap). Case II. When g( x) is expressible as product of repeated linear factors.
Here, all the constant cannot be calculated by using the method in Case I. However, Bl, B2, B3, …, Bn can be found using the same method i. e., shortcut can be applied only in the case of non-repeated linear factor.
Integration of Irrational Algebraic Function
Irrational function of the form of( ax + b) 1 / n and x can be evaluated by substitution( ax + b) = t n, thus