Question

The area (in sqaure units) of the region enclosed by the curves `y=x,x=e, y=(1)/(x)` and the positive x-axis is
A. `(1)/(2)`
B. 1
C. `3/2`
D. `5/2`

Answer 1

Correct Answer - c
Required area `underset(0)overset(1)intx dx +underset(1)overset(e)int (1)/(x) dx`
`=[(x^(2))/(2)]_(0)^(1) + [log x]_(1)^(e) =(1)/(2)+1=(3)/(2)`