PARTIAL FRACTIONS INTEGRATION QUIZ

Find the partial fraction decomposition.

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Find the partial fraction decomposition...

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Set up the partial fractions...

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• A

• B

• C

• D

• E

• A

• B

• C

• D

• E

• A

• B

• C

• D

• E

 $\int\ \frac{3x+2}{x^2-1}dx$  

•  $\frac{3}{2}\ln\left(x-1\right)-\frac{1}{2}\ln\left(x+1\right)+C$  

•  $\frac{5}{2}\ln\left(x-1\right)+\frac{1}{2}\ln\left(x+1\right)+C$  

•  $\frac{1}{2}\ln\left(x-1\right)+\frac{5}{2}\ln\left(x+1\right)+C$  

• none of the above

 $\int_{ }^{ }\ \frac{3x^2+4x+7}{x(x-1)^2}dx$  

•  $-4\ln\left(x-1\right)-\frac{14}{x-1}+7\ln\left(x\right)+C$  

•  $4\ln\left(x-1\right)-\frac{5}{x-1}+7\ln\left(x\right)+C$  

•  $-7\ln\left(x-1\right)-\frac{4}{x-1}+5\ln\left(x\right)+C$  

• none of the above

 $\int_{ }^{ }\ \frac{x-2}{x\left(x^2+1\right)}dx$  

•  $2\ln\left(x\right)+\frac{1}{2}\left(x^2+1\right)^2+C$  

•  $-2\ln\left(x\right)+\frac{3}{2}\ln\left(x^2+1\right)+C$  

•  $-\frac{2}{x}+\frac{1}{2}\left(x^2+1\right)^2+C$  

• none of the above