Question

Find the area of the region bounded by the following curves, X-axis and the given lines: xy = 2, x = 1, x = 4

Answer 1

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.