Question

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

• A. $\log 4$sq. unit
• B. $( \log 4 + 1 )$ sq. unit
• C. $( \log 4 - 1 )$ sq. unit
• D. None of these

Answer 1

Answer: (C)

$( \log 4 - 1 )$ sq. unit

Answer 2

Given curve $y = \log x$ and $x = 1$, $x = 2$.

Hence required area = $\int _ { 1 } ^ { 2 } \log x d x$ = $( x \log x - x ) _ { 1 } ^ { 2 }$

= $2 \log 2 - 1 = ( \log 4 - 1 )$sq. unit.