If $\int_{0}^{\infty} x^{2} e^{-x} d x$ Converges, Find Its Value

question 101

Short Answer

If $\int_{0}^{\infty} x^{2} e^{-x} d x$ converges, find its value.Otherwise, enter "DNC".

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Definitions:

Peripheral Route

A method of persuasion that relies on superficial cues rather than the merit of the message.

Cognitive Structures

Cognitive structures are mental frameworks or patterns that guide individuals in understanding the world, organizing information, and making sense of experiences.

Dishonest

Lacking honesty or integrity; prone to lie, cheat, or deceive.

Insincere

Lacking honesty and genuine feelings; not expressing true intentions.