Question What kinds of functions can be integrated using partial fraction decomposition?

Step 1 Given:Integration of Partial fractions:Step 2 To determine:Kinds of functions that can be integrated using partial fraction decomposition:=?Step 3 Definition:Partial Fraction decomposition is a method in which there is an expansion of a rational expression in which the rational expression is expanded in the form of the sum of a polynomial and one or several fractions with a simple denominator; The method can be summarized as:                                   X(z)=z2(z-1)(z-2)with:X(z)=1(1-z-1)(1-2z-1)        =A(1-z-1)+B(1-2z-1); This is the partial decomposition method of rational expressions;Step 4 Solution to the Question:Rational Functions are the functions which can be expressed in the form of numerator and denominator;Hence,Rational functions are :                                             P(x)Q(x), whereQ(x)≠0 So,            Rational functions are the functions which can be integrated using partial fraction decomposition as these functions can be decomposed into the sum of the fractional polynomials; ...