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) \(\frac { e ^ { - 5 x } } { 5 } + C\)

Assess the relationship between central bank credibility, inflation, and economic outcomes.

Identify the short-term and long-term impacts of monetary policy decisions on inflation and unemployment.

Understand the perceived benefits of moderate inflation in economic systems, particularly in labor markets.

Recognize the effects of fiscal and monetary policies on savings, consumption, and investment behaviors.

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A hormone and neurotransmitter also known as adrenaline, responsible for the fight-or-flight response in mammals.