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Question
Find the area of the region bounded by the following curves, X-axis and the given lines: xy = 2, x = 1, x = 4
Solution
For xy = 2, y = `(2)/x`.
Required area = `int_1^4 y*dx, "where" y = (2)/x`
= `int_1^4 (2)/x*dx`
= `[2 log |x|]_1^4`
= 2 log 4 – 2 log 1
= 2 log 4 – 0
= 2 log 4 sq units.
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