partial fractions quiz

 $\frac{A}{\left(x+3\right)}+\frac{B}{\left(x+3\right)}+\frac{C}{\left(x-4\right)}$  

 $\frac{A}{\left(x-4\right)}+\frac{Bx+C}{\left(x+3\right)^2}$  

 $\frac{A}{\left(x+3\right)^2}+\frac{B}{\left(x-4\right)}$  

 $\frac{A}{\left(x+3\right)}+\frac{B}{\left(x+3\right)^2}+\frac{C}{\left(x-4\right)}$  

 $2+\frac{-3x}{x^2-x-2}$  

 $2+\frac{3x}{x^2-x-2}$  

 $2+\frac{x+8}{x^2-x-2}$  

none, the fraction is proper

7=A+B

0=A+B

7= 3A-5B

0= 3A-5B

none of these are correct

 $\ln\left|x\right|-\frac{1}{x}+\ln\left|x-1\right|+C$  

 $\ln\left|x\right|-\ln(x^2)+\ln\left|x-1\right|+C$  

 $\ln\left|x\right|+\frac{1}{x}+\ln\left|x-1\right|+C$  

 $\ln\left|x\right|-\frac{2}{x}-\ln\left|x-1\right|+C$  

 $\ln|2x-1|-2\ln|2x+1|+C$  

 $\ln|2x-1|-\ln|2x+1|+C$  

 $\frac{1}{2}\ln|2x-1|-\ln|2x+1|+C$  

 $\frac{1}{2}\ln|2x-1|-2\ln|2x+1|+C$  

 $\frac{2}{3}\ln\left|x\right|-\frac{1}{2}\ln\left|2x+1\right|+C$  

 $2\ln\left|3x\right|-\frac{1}{2}\ln\left|2x+1\right|+C$  

 $2\ln\left|3x\right|-\ln\left|2x+1\right|+C$  

 $2\ln\left|3x\right|+\ln\left|2x+1\right|+C$  

1

-1

1/2

-1/2

0

 $\frac{1}{2\ }\ln\left|x-1\right|$  

 $\arctan\left(x\right)$  

 $-\frac{1}{2}\ln\left|x+1\right|$ 

 $\ln\left|x^2+1\right|$  

 $\frac{1}{x-1}$