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:

General Ledger

The comprehensive set of accounts that records all financial transactions of a business.

Horizontal Analysis

A financial analysis technique that compares line items in financial statements over a series of periods to identify trends and growth patterns.

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This refers to the financial information that is reported separately for different divisions or segments of a company, providing insight into the performance of each segment.

Recent Years

A term referring to the latest or last few years, without a precise timeframe but generally considered to encompass the immediate past.