Provide an Appropriate Response $\mathrm { f } ( \mathrm { x } ) = \left\{ \frac { 1 } { \mathrm { x } } \right.$

question 139

Short Answer

Provide an appropriate response.
-A student wishes to take the integral over all real numbers of $\mathrm { f } ( \mathrm { x } ) = \left\{ \frac { 1 } { \mathrm { x } } \right.$ , if $x < 0 \frac { 1 } { \mathrm { x } ^ { 2 } }$ , if $x > 0$ and claims this is zero because $- \infty + \infty$ equals zero. What is wrong with this thinking?

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Magnetic Resonance Imaging, a medical imaging technique used to visualize internal structures of the body in detail.

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A branch of anatomy that studies the body by systems, such as the respiratory or circulatory system, viewing the body as a collection of interconnected systems.

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Pertaining to the process of growth and development in living organisms, including physical, cognitive, and emotional changes.

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