Use the Substitution Formula to Evaluate the Integral $$\int _ { 0 } ^ { \pi / 2 } \frac { \cos x } { ( 5 + 4 \sin x ) ^ { 3 } } d x$$

question 127

Multiple Choice

Use the substitution formula to evaluate the integral.
- $$\int _ { 0 } ^ { \pi / 2 } \frac { \cos x } { ( 5 + 4 \sin x ) ^ { 3 } } d x$$

• A) \(- \frac { 3 } { 25 }\)
• B) \(\frac { 28 } { 2025 }\)
• C) \(- \frac { 28 } { 2025 }\)
• D) \(\frac { 7 } { 2025 }\)

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