Find the physical area between the curves y=sin(2x) and y=cos(x) from x=pi/2 to x=3pi/2

Answer 1

graph cos x and sin 2 x first
cos x is negative the whole way from pi/2 to 3pi/2
sin 2x goes through an entire period, first negative, then positive

so you must figure out where one curve is below the other and where above