Write the Word or Phrase That Best Completes Each Statement $\int _ { 0 } ^ { \pi / 2 } \sin x \cos x \mathrm { dx }$

question 92

Essay

Write the word or phrase that best completes each statement or answers the question.
-(a) What area does the integral $\int _ { 0 } ^ { \pi / 2 } \sin x \cos x \mathrm { dx }$ represent?
(b) Use a graphing utility to approximate the area to three decimal places.

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Definitions:

Susceptible

Likely to be influenced or harmed by a particular thing due to vulnerability or lack of resistance.

Memory Errors

Mistakes or distortions in the recall of experiences or information, which can occur due to various cognitive and emotional factors.

Hypnosis

A trance-like mental state of heightened focus and concentration, induced by suggestion, used therapeutically to modify behaviors, perceptions, or psychological states.

Suggestible

Easily influenced or inclined to accept and act on the suggestions of others.