Use the Substitution Formula to Evaluate the Integral $$\int _ { - 2 / 5 } ^ { - \sqrt { 2 / 5 } } \frac { d t } { t \sqrt { 25 t ^ { 2 } - 1 } }$$

question 217

Multiple Choice

Use the substitution formula to evaluate the integral.
- $$\int _ { - 2 / 5 } ^ { - \sqrt { 2 / 5 } } \frac { d t } { t \sqrt { 25 t ^ { 2 } - 1 } }$$

• A) \(- \frac { \pi } { 12 }\)
• B) \(- \frac { \pi } { 6 }\)
• C) \(\frac { \pi } { 12 }\)
• D) \(\frac { \pi } { 6 }\)

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