Find the Value of the Integral $\int _ { 1 } ^ { 2 } \sqrt { u ^ { 2 } - 1 } d u$

question 120

Multiple Choice

Find the value of the integral $\int _ { 1 } ^ { 2 } \sqrt { u ^ { 2 } - 1 } d u$

• A) \(\sqrt { 3 } + \frac { 1 } { 2 } \ln ( 4 - \sqrt { 3 } )\)
• B) \(\sqrt { 3 } - \frac { 1 } { 2 } \ln ( 2 + \sqrt { 3 } )\)
• C) \(\sqrt { 3 } - \frac { 1 } { 2 } \ln ( 4 + \sqrt { 3 } )\)
• D) \(\sqrt { 3 } + \frac { 1 } { 2 } \ln ( 2 - \sqrt { 3 } )\)
• E) \(\sqrt { 3 } - \frac { 1 } { 2 } \ln ( 4 - \sqrt { 3 } )\)
• F) \(\sqrt { 3 } + \frac { 1 } { 2 } \ln ( 4 + \sqrt { 3 } )\)
• G) \(\sqrt { 3 } + \frac { 1 } { 2 } \ln ( 2 + \sqrt { 3 } )\)
• H) \(\sqrt { 3 } - \frac { 1 } { 2 } \ln ( 2 - \sqrt { 3 } )\)

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