Evaluate the Integral $\int y ^ { 2 } \sin 4 y d y$

question 66

Multiple Choice

Evaluate the integral.
- $\int y ^ { 2 } \sin 4 y d y$

• A) \(- \frac { 1 } { 4 } y ^ { 2 } \sin 4 y + \frac { 1 } { 8 } y \cos 4 y + \frac { 1 } { 32 } \sin 4 y + C\)
• B) \(- \frac { 1 } { 4 } y ^ { 2 } \cos 4 y + \frac { 1 } { 8 } y \sin 4 y + \frac { 1 } { 32 } \cos 4 y + C\)
• C) \(\frac { 1 } { 4 } y ^ { 2 } \cos 4 y - \frac { 1 } { 8 } y \sin 4 y - \frac { 1 } { 32 } \cos 4 y + C\)
• D) \(- \frac { 1 } { 4 } y ^ { 2 } \cos 4 y + \frac { 1 } { 2 } y \sin 4 y + \frac { 1 } { 2 } \cos 4 y + C\)

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Definitions:

Straight-Line Method

A method of calculating depreciation by evenly spreading the cost of an asset over its expected useful life.

Depreciation Rate

The percentage rate at which an asset decreases in value over a specific period, often used for tax and accounting purposes.

Residual Value

The estimated amount that an asset will be worth at the end of its useful life.

Depreciable Amount

The cost of a tangible or physical asset, minus its salvage value, over which the cost is allocated during the asset's useful life.