11.5 PFD Case 3 & 4

 $\frac{A}{x}+\frac{Bx+C}{x^2+3}$  

 $\frac{A}{x^2}+\frac{Bx+C}{x^2+3}$  

 $\frac{A}{x}+\frac{Bx+C}{x^3+3x}$  

 $\frac{\frac{4}{3}}{x+1}+\frac{-\frac{1}{3}x+\frac{5}{3}}{x^2-x+1}$  

 $\frac{\frac{4}{3}}{x+1}+\frac{-\frac{1}{3}x+\frac{5}{3}}{x^2+1}$  

 $\frac{\frac{4}{3}}{x+1}+\frac{-\frac{5}{3}x+\frac{1}{3}}{x^2-x+1}$  

 $\frac{Ax+B}{x^2+2x+5}+\frac{C}{x}$  

 $\frac{A}{x^2+2x+5}+\frac{B}{x}$  

 $\frac{Ax^2+Bx}{x^2+2x+5}+\frac{C}{x}$  

 $\frac{A}{x}+\frac{B}{x^2}+\frac{Cx+D}{x^2+1}+\frac{Ex+F}{\left(x^2+1\right)^2}$  

 $\frac{A}{x}+\frac{B}{x}+\frac{Cx+D}{x^2+1}+\frac{Ex+F}{\left(x^2+1\right)^2}$  

 $\frac{A}{x}+\frac{B}{x}+\frac{Cx+D}{x^2+1}+\frac{Ex+F}{\left(x^2+1\right)}$