Question

Find the area of the region bounded by the curve $xy=c^2$, the X-axis, and the lines $x=c$, $x=2c$

Answer 1

let $c>0$

$A={\int }_c^{2c}\frac{c^2}{x}dx$

$A={\left[c^2\ln x\right]}_c^{2c}$

$A=\left[c^2\right(\ln 2c-\ln c)]$

$A=c^2\ln 2$