Evaluate the Integral $\int \frac { \sqrt { 2 x - 7 } } { x ^ { 2 } } d x$

question 418

Multiple Choice

Evaluate the integral.
- $\int \frac { \sqrt { 2 x - 7 } } { x ^ { 2 } } d x$

• A) \(\frac { \sqrt { 2 x - 7 } } { x } + 2 \tan ^ { - 1 } \sqrt { \frac { 2 x - 7 } { 7 } } + C\)
• B) \(- \frac { \sqrt { 2 x - 7 } } { x } + \frac { 2 \sqrt { 7 } } { 7 } \tan ^ { - 1 } \sqrt { \frac { 2 x - 7 } { 7 } } + C\)
• C)\( = \frac { \sqrt { 2 x - 7 } } { x } + \frac { 2 \sqrt { 7 } } { 7 } \tan ^ { - 1 } \left( \frac { \sqrt { 2 x - 7 } } { x ^ { 2 } } \right) + C\)
• D) \(- \frac { \sqrt { 2 x - 7 } } { x } + \frac { 2 \sqrt { 7 } } { 7 } \ln \left| \frac { \sqrt { 2 x - 7 } - \sqrt { 7 } } { \sqrt { 2 x - 7 } + \sqrt { 7 } } \right| + C\)

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