Question

The area bounded by the curve $xy=4$, x-axis between the ordinates $x=2,x=4$ is

• A. $\log 2$ sq. units
• B. $2\log 2$ sq. units
• C. $3\log 2$ sq. units
• D. $4\log 2$ sq. units

Answer 1

The correct option is D $4\log 2$ sq. units

$xy=4$ $x=2;x=4$ is
$\stackrel{4}{\underset{2}{\int }}ydx=\stackrel{4}{\underset{2}{\int }}4/xdx$
$=4\left(\log x{|}_2^4\right)$
$=4(\log 4-\log 2)$
$=4\log 2$ sq units