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

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प्रश्न

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

योग

उत्तर

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

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2013-2014 (October)

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