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

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.