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 Find xx4dx\text { Find } \int \frac { \sqrt { x } } { x - 4 } d x \text {. }

Question 22

Multiple Choice

 Find xx4dx\text { Find } \int \frac { \sqrt { x } } { x - 4 } d x \text {. }


A) xx4dx=ln(x+x4) +C\int \frac { \sqrt { x } } { x - 4 } d x = \ln ( \sqrt { x } + \sqrt { x - 4 } ) + C
B) xx4dx=ln(xx4) +C\int \frac { \sqrt { x } } { x - 4 } d x = \ln ( \sqrt { x } - \sqrt { x - 4 } ) + C
C) xx4dx=12ln(x+x42) +C\int \frac { \sqrt { x } } { x - 4 } d x = - \frac { 1 } { 2 } \ln \left( \frac { \sqrt { x } + \sqrt { x - 4 } } { 2 } \right) + C
D) xx4dx=2ln(x2x+2) +2x+C\int \frac { \sqrt { x } } { x - 4 } d x = 2 \ln \left( \frac { \sqrt { x } - 2 } { \sqrt { x } + 2 } \right) + 2 \sqrt { x } + C
E) xx4dx=2ln(x+2x2) +2x+C\int \frac { \sqrt { x } } { x - 4 } d x = 2 \ln \left( \frac { \sqrt { x } + 2 } { \sqrt { x } - 2 } \right) + 2 \sqrt { x } + C

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