Area bounded by the curve y -log x - x - axis and the ordinates x -1- x -2 is -MP PET 2004-A- None of theseB- log 4 sq- unitC- log 4-1 s q- unitD- log 4-1 s q- unit

The correct option is D Given curve y = log x and x = 1, x = 2 Hence required area =∫_1^2 log x dx = (x log x x)_1^2 = 2 log 2 1 = (log 4 1)sq. unit ...

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Standard XII

Mathematics

Property 7

Area bounded ...

Question

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

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None of these

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Solution

The correct option is C
Given curve y = log x and x = 1, x = 2
Hence required area $= \int_{1}^{2} l o g x d x = (x l o g x - x)_{1}^{2}$
= 2 log 2 - 1 = (log 4 - 1)sq. unit

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

The correct option is C Given curve y = log x and x = 1, x = 2 Hence required area =∫21 log x dx=(x log x−x)21 = 2 log 2 - 1 = (log 4 - 1)sq. unit

The correct option is C
Given curve y = log x and x = 1, x = 2
Hence required area $= \int_{1}^{2} l o g x d x = (x l o g x - x)_{1}^{2}$
= 2 log 2 - 1 = (log 4 - 1)sq. unit