Find the area bounded by the curve y = 2cos x and the x-axis from x = 0 to x = 2π.

Given;

The curve y = 2cos x and the x-axis from x = 0 to x = 2π.

Area of the region bounded by the curve y=f(x), the x-axis and the ordinates x=a and x=b, where f(x) is a continuous function defined on [a,b], is given by .

From the figure;

Required area

= 8 sq.units