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Question
Find the area of the region bounded by the following curves, X-axis and the given lines : y = sin x, x = 0, x = `pi/(2)`
Solution
Required area = `int_0^(pi/2) y*dx, "where" y = sinx`
= `int_0^(pi/2) sinx*dx`
= `[- cos x]_0^(pi/2)`
= `- cos pi/(2) + cos 0`
= 0 + 1
= 1 sq unit.
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