Question

Area bounded by the curve y = log x, x - axis and the ordinates x = 1, x = 2 is [MP PET 2004]

• 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 $={\int }_1^{2}logxdx=(xlogx-x{)}_1^2$
= 2 log 2 - 1 = (log 4 - 1)sq. unit