Use Integration by Parts to Evaluate $\int 4 x e ^ { - 5 x } d x$

question 42

Multiple Choice

Use integration by parts to evaluate $\int 4 x e ^ { - 5 x } d x$

• A) \(- \frac { ( 5 x + 1 ) \left( 4 e ^ { - 5 x } \right) } { 25 } + C\)
• B) \(- \frac { e ^ { - 5 x } } { 5 } + C\)
• C) \(- \frac { \left( 4 e ^ { - 5 x } \right) } { 25 } + C\)
• D) \(- \frac { x \left( 4 e ^ { - 5 x } \right) } { 5 } + C\)
• E) \(\frac { e ^ { - 5 x } } { 5 } + C\)

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Definitions:

Idle Funds

Money that is not currently invested or used in transactions, potentially earning no interest or profit.

Semiannually

Occurring or calculated twice a year.

Stock Dividend

A stock dividend is a dividend payment made to shareholders in the form of additional shares rather than a cash payout, affecting the company's share price and equity structure.

Journal Entry

A journal entry is a recording of a financial transaction in the accounting records of a business, indicating debts and credits to various accounts.