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

The correct option is C (log 4-1) sq. unit

Given curve y=log x and x=1, x=2.
Hence required area = ${\int }_1^{2}logxdx=(xlogx-x{)}_1^2$
$=2log2-1=(log4-1)$ sq. unit.