Evaluate the Integral in Terms of Natural Logarithms $$\int _ { 1 } ^ { e ^ { 5 } } \frac { 10 d x } { x \sqrt { 1 + ( \ln x ) ^ { 2 } } }$$

question 79

Multiple Choice

Evaluate the integral in terms of natural logarithms.
- $$\int _ { 1 } ^ { e ^ { 5 } } \frac { 10 d x } { x \sqrt { 1 + ( \ln x ) ^ { 2 } } }$$

• A) 5
• B) \(10 \ln ( 1 + \sqrt { 2 } )\)
• C) \(\ln ( 5 + \sqrt { 26 } )\)
• D) \(10 \ln ( 5 + \sqrt { 26 } )\)

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