Find the area under the curve f(x) = sin x in [0,2π].
f(x) = sin x,
We know that in [0, π], sin x ≥ 0 and [π, 2π], sin x ≤ 0
Required area
= – cos π + cos 0 + cos 2π – cos π
= – (– 1) + 1 + 1 –(–1) = 1 + 1 + 1 + 1
= 4.
