Solved 1 Answer
See More Answers for FREE
Enhance your learning with StudyX
Receive support from our dedicated community users and experts
See up to 20 answers per week for free
Experience reliable customer service
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; ...