Question

Area of the region bounded by y = cos x, x = 0, x = π and X-axis is ______ sq.units.

Options

• 3

• 1

• 2

• 4

Answer 1

Area of the region bounded by y = cos x, x = 0, x = π and X-axis is 2 sq.units.

Explanation:

Required area = `2int_0^(pi/2) "y" dx`

`= 2 int_0^(pi/2) cos x`dx

= 2 `(sin x)_0^(pi//2)`

= 2(1 - 0)

= 2 sq. units