Question

π/2

∫ sin(x)cos(x) dx
π/6

Answer 1

recall that sin(2x) = 2sinxcosx, so ...

π/2
∫ sin(x)cos(x) dx
π/6

π/2
= ∫ (1/2) sin (2x) dx
π/6

= [ - (1/4) cos(2x) ] from π/6 to π/2

take over , make sure you get 3/8 or .375