Question

The area of the region is bounded by the curve y = sinx, X-axis and the lines x = 0, x = `(2pi)/3` is ______ 

पर्याय

• 1

• 2

• `3/2`

• `1/2`

Answer 1

The area of the region is bounded by the curve y = sinx, X-axis and the lines x = 0, x = `(2pi)/3` is `underline(3/2)`.

Explanation:

Required area = `int_0^{2pi"/"3} sinx dx`

= `[-cos x]_0^{2pi"/"3}`

= `-(cos  (2pi)/3 - cos0)`

= `-(-1/2 - 1)` sq. unit

= `3/2`