Question

The area of the region enclosed by the curves $y=x,x=e,y=\frac{1}{x}$ and the positive x-axis is:-

Answer 1

$y=x,x=e,y=\frac{1}{x}$

Area of part $A=\frac{1}{2}$
Area of part $B={\int }_1^e\frac{1}{x}dx=loge=1$
Total area $=\frac{1}{2}+1=\frac{3}{2}$