Provide an Appropriate Response $\int _ { 0 } ^ { + \infty } \mathrm { f } ( \mathrm { x } ) \mathrm { dx }$

question 21

Essay

Provide an appropriate response.
-A student wishes to find the integral $\int _ { 0 } ^ { + \infty } \mathrm { f } ( \mathrm { x } ) \mathrm { dx }$ of a function that has the property limit $\lim _ { \mathrm { x } \rightarrow \infty } \mathrm { f } ( \mathrm { x } ) = 1$ . Why can this not be done?

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Definitions:

Norepinephrine

A neurotransmitter and hormone involved in the body's stress response, also known as noradrenaline.

Adrenal Medulla

The inner part of the adrenal glands that secretes adrenaline and noradrenaline, involved in the body's fight-or-flight response.

Mineralcorticoids

A class of corticosteroids that primarily regulate electrolyte and water balance by affecting ion transport in the kidneys.

Glucocorticoids

A class of corticosteroids that play a role in glucose metabolism, immune response suppression, and stress response.