The area of the region bounded by the curves y=sinx and y=cosx is A then A4 is

The area of the region bounded by the curves y=sinx and y=cosx is the area of the region bounded by curves  y=sinx and y=cosx between the lines x=π4 and x=5π4Hence,       A=∫π45π4sinx−cosxdx=−cosxπ45π4−sinxπ45π/4=−−12−12−−12−12==22+22=42=22The required value is A4=224=64