Question

The area of the region bounded by the curve y = sinx between the ordinates x = 0, x = `pi/2` and the x-axis is ______.

Options

• 2 sq.units

• 4 sq.units

• 3 sq.units

• 1 sq.unit

Answer 1

The area of the region bounded by the curve y = sinx between the ordinates x = 0, x = `pi/2` and the x-axis is 1 sq.unit.

Explanation:

= `int_0^(pi/2) sin x  "d"x`

= `- [cos x]_0^(pi/2)`

= `-[cos  pi/2 - cos 0]`

= `-[0 - 1]`

= 1 sq.unit