Solve the Problem $\int _ { 0 } ^ { \pi / 2 } \sin x \cos x \mathrm { dx }$

Short Answer

Solve the problem.
-(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.