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

question 74

Multiple Choice

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

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

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