Question

Area bounded by the curve $y=\log x,x-$axis and the ordinates $x=1,x=2$ is

• A. $\log 4squnit$
• B. $\log \left(4\right)+1squnit$
• C. $\log \left(4\right)-1squnit$
• D. $Noneofthese$

Answer 1

Answer: (C)

$\log \left(4\right)-1squnit$

Area $={\int }_1^2\log xdx$

$=x\log x-{\int }_1^2\frac{x}{x}dx$ [IILATE rule]

$=[x\log x-x{]}_1^2$

$=2\log 2-2+1$

$=2\log 2-1$

$=\log 4-1sq.units$

$C$ is correct.