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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Definitions:

Multiple Unions

The presence of more than one labor union within a single workplace or industry, each representing different groups of workers.

Right-to-Work Law

Legislation that prohibits agreements between labor unions and employers that make union membership or payment of union dues a condition of employment, either before or after hiring.

Union Representation

The act of acting on behalf of union members in negotiations with employers, usually regarding work conditions, wages, and other employment issues.

Initial Contract

The first agreement negotiated between a union and an employer outlining wages, hours, and working conditions for unionized employees.