Question

Area bounded by the curve xy = 4, X-axis between x = 1, x = 5 is ______.

Options

• 4 log 3 sq. units

• 2 log 5 sq. units

• 8 log 2 sq. units

• 4 log 5 sq. units

Answer 1

Area bounded by the curve xy = 4, X-axis between x = 1, x = 5 is 4 log 5 sq. units.

Explanation:

Required area = `int_1^5 y "d"x = 4 int_1^5 1/x  "d"x`

= 4 log 5 sq. units.