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Question
Find the area bounded by the line y = x and x-axis and the ordinates x = 1, x = 2
Solution
The equation of the given line is y = x and x varies from 1 to 2
The Area lies above the x-axis
∴ A = `int_"a"^"b" y "d"x`
= `int_1^2 x "d"x`
= `[x^2/2]_1^2`
= `[(2)^2/2 - (1)^2/2]`
= `[4/2 - 1/2]`
= `3/2` sq.units
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