Question

Find the area of the region bounded by the curve y = sinx, the lines x=-π/2 , x=π/2 and X-axis

Answer 1

Required area= where y=sinx , 0 ≤ x ≤ `pi/2`

A = `int_0^(pi/2) sin  x  dx`

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

`= "cos" pi/2 + "cos"  0 = 0 + 1 = 1` sq.units