Sum

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

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#### Solution

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

Concept: Area of the Region Bounded by a Curve and a Line

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