Question

The area of bounded by the curve $y=logx$, the x-axis and the line $x=e$ is?

• A. e sq. units
• B. $(1-\frac{1}{e})$ sq. units
• C. $(2e-1)$ sq. units
• D. $1$ sq. units

Answer 1

Answer: (D)

$1$ sq. units

$A={\int }_1^e\ln xdx$

$A={[x\ln x-x]}_0^1$

$A=[e\ln e-e]$$-[1\ln 1-1]$

$A=e-e-0+1=1squnit$