Does $\int _ { 1 } ^ { 3 } \left( e ^ { x } - 1 \right) d x$

question 50

Multiple Choice

Does $\int _ { 1 } ^ { 3 } \left( e ^ { x } - 1 \right) d x$ express the area between the curve y = $e ^ { x }$ - 1 and the x-axis between x = 1 and $x = 3 ?$ Give a reason for your answer.

• A) Yes, because y = \(e ^ { x }\) - 1 does not cross the x-axis between 1 and 3 .
• B) Yes, because y = \(e ^ { x }\) - 1 is nonnegative for all x between 1 and 3 .
• C) No, because \(\int _ { 1 } ^ { 3 } \left( e ^ { x } - 1 \right) d x\) is negative.
• D) No, because y = \(e ^ { x }\) - 1 crosses the x-axis between 1 and 3 .
• E) none of these

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Definitions:

G Proteins

A family of proteins that act as molecular switches inside cells, involved in transmitting signals from stimuli outside the cell to its interior.

Alpha Subunits

Components of G-protein coupled receptor complexes involved in transmitting signals from a wide variety of receptors into the interior of the cell.

Sympathetic Nervous System

A part of the autonomic nervous system that serves to accelerate the heart rate, constrict blood vessels, and raise blood pressure, commonly activated in response to stress or fear.

Parasympathetic Nervous System

A division of the autonomic nervous system responsible for conserving energy and promoting a state of calmness and rest.