Evaluate the Integral by Using Multiple Substitutions $\int \frac { 14 y \sin ^ { 3 } \sqrt { 7 y ^ { 2 } + 5 } \cos \sqrt { 7 y ^ { 2 } + 5 } } { \sqrt { 7 y ^ { 2 } + 5 } } d y$

question 9

Multiple Choice

Evaluate the integral by using multiple substitutions.
- $\int \frac { 14 y \sin ^ { 3 } \sqrt { 7 y ^ { 2 } + 5 } \cos \sqrt { 7 y ^ { 2 } + 5 } } { \sqrt { 7 y ^ { 2 } + 5 } } d y$

• A) \(2 \sin ^ { 4 } \sqrt { 7 y ^ { 2 } + 5 } + C\)
• B) \(\frac { 1 } { 2 } \sin ^ { 4 } \sqrt { 7 y ^ { 2 } + 5 } + C\)
• C) \(\frac { 1 } { 2 } \cos ^ { 4 } \sqrt { 14 \mathrm { y } } + \mathrm { C }\)
• D) \(6 \sin ^ { 2 } \sqrt { 7 y ^ { 2 } + 5 } + C\)

---

Definitions:

Operating Activities

The primary revenue-generating activities of a business, including the production, distribution, and sale of goods and services, as reported in the cash flow statement.

Statement of Comprehensive Income

A financial statement that includes all changes in equity during a period except those resulting from investments by owners and distributions to owners.

Extraordinary Gains

Unusual and infrequent gains recognized in a company's financial statements, separate from regular business operations.

Unrealized Losses

Losses on investments that have not been sold or settled and are still held by the company.