Evaluate the Integral $\int y ^ { 2 } \sin 5 y d y$

question 67

Multiple Choice

Evaluate the integral.
- $\int y ^ { 2 } \sin 5 y d y$

• A) \(- \frac { 1 } { 5 } y ^ { 2 } \sin 5 y + \frac { 2 } { 25 } y \cos 5 y + \frac { 2 } { 125 } \sin 5 y + C\)
• B) \(- \frac { 1 } { 5 } y ^ { 2 } \cos 5 y + \frac { 2 } { 5 } y \sin 5 y + \frac { 2 } { 5 } \cos 5 y + C\)
• C) \(- \frac { 1 } { 5 } y ^ { 2 } \cos 5 y + \frac { 2 } { 25 } y \sin 5 y + \frac { 2 } { 125 } \cos 5 y + C\)
• D) \(\frac { 1 } { 5 } y ^ { 2 } \cos 5 y - \frac { 2 } { 25 } y \sin 5 y - \frac { 2 } { 125 } \cos 5 y + C\)

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Definitions:

Cash Disbursements

Financial payments made by a business, including expenses, creditor payments, and inventory purchases.

Seasonal Merchandise

Products that are particularly popular or in demand during specific seasons or periods of the year.

Maturity Hedging

A financial strategy used to manage the risk associated with the timing of cash flows, particularly the mismatch between asset maturities and liability maturities.

Short-Term Assets

Assets expected to be converted into cash or used up within one year or an operating cycle, whichever is longer.