Let 2x^ 2 +3 x(x-1)(x^ 2 +1) = A x + B x-1 + Cx+D x^ 2 +1

MATHEMATICS · Single correct · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let

\frac{2x^{2}+3}{x(x-1)(x^{2}+1)}=\frac{A}{x}+\frac{B}{x-1}+\frac{Cx+D}{x^{2}+1}.

Which one of the following relations among

A,\,B,\,C,\,D

is satisfied? (a)

B+C+D=0

(b)

A+B+C=0

(c)

A+B+D=0

(d)

A+C+D=0