Question

The area of the region bounded by the curve y = sin x and the x-axis in [–π, π] is ______.

Options

• 4

• 8

• 12

• 2

Answer 1

The area of the region bounded by the curve y = sin x and the x-axis in [–π, π] is 4.

Explanation:

Area = `2int_0^π sinxdx`

= `2[-cosx]_0^π`

= 2[1 + 1]

= 4