Find the area bounded by the curve y = sin x, the lines x = 0 and x = π2 - Mathematics and Statistics
Find the area bounded by the curve y = sin x, the lines x = 0 and x = `pi/2`
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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