Evaluate the Integral $\int _ { - \pi / 15 } ^ { \pi / 15 } \sec ^ { 3 } 5 x d x$

question 75

Multiple Choice

Evaluate the integral.
- $\int _ { - \pi / 15 } ^ { \pi / 15 } \sec ^ { 3 } 5 x d x$ Give your answer in exact form.

• A) \(\frac { 2 \sqrt { 3 } } { 5 } + \frac { 1 } { 10 } \ln ( 7 + 4 \sqrt { 3 } )\)
• B) \(\frac { \sqrt { 3 } } { 5 } + \frac { 1 } { 10 } \ln ( 7 + 4 \sqrt { 3 } )\)
• C) \(\frac { 2 \sqrt { 3 } } { 5 } + \frac { 1 } { 10 } \ln ( 2 \sqrt { 3 } )\)
• D) \(\frac { 2 } { 5 } + \frac { 1 } { 10 } \ln 4\)

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