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Find the area bounded by the curve y = sin x, the lines x = 0 and x = π2 - Mathematics and Statistics

Sum

Find the area bounded by the curve y = sin x, the lines x = 0 and x = `pi/2`

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Solution

Let A be the required area.

Consider the equation y = sin x.

∴ A = `int_0^(pi/2) y  "d"x`

= `int_0^(pi/2) sin x  "d"x`

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

= `-[cos  pi/2 - cos 0]`

= – (0 – 1)

∴ A = 1 sq.unit

Concept: Area Bounded by the Curve, Axis and Line
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