Evaluate the Integral $$\int x ^ { 3 } e ^ { - x ^ { 4 } } d x$$

question 16

Multiple Choice

Evaluate the integral.
- $$\int x ^ { 3 } e ^ { - x ^ { 4 } } d x$$

• A) \(- 4 e ^ { - x ^ { 5 } } + C\)
• B) \(e ^ { - x ^ { 4 } } + C\)
• C) \(- \frac { 1 } { 4 } e ^ { - x ^ { 4 } } + C\)
• D) \(- \frac { 1 } { 4 } e ^ { - x ^ { 5 } } + C\)

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Definitions:

Perfected Interest

A legal claim or lien that has been formally acknowledged or registered, typically securing priority over others in the same asset or property.

Purchase-Money Security Interest

A legal claim or lien on an item of property that secures payment of the debt used to purchase the property.

Security Agreement

A legal contract that outlines the terms under which personal property is used as collateral for a loan, securing the repayment to the lender.

Financing Statement

A financing statement is a document filed by a secured party to give public notice of their interest in the personal property of a debtor, used to perfect a security interest under the Uniform Commercial Code.