Question

The area of the region bounded by $x=0;y=0;x=2;y=2,y\le e^x\&y\ge \ln x$ is (in sq. units)

• A. $4\ln 2-2$
• B. $6-4\ln 2$
• C. $2\ln 2-4$
• D. $6-2\ln 2$

Answer 1

Answer: (B)

$A=2\left(\frac{1}{2}\cdot 2\cdot 2-\underset{1}{\overset{2}{\int }}\ln xdx\right)=6-2\ln 4$