Definite Integration Question 224

Question: The measurement of the area bounded by the co-ordinate axes and the curve $ y={\log _{e}}x $ is

[MP PET 1998]

Options:

A) 1

B) 2

C) 3

D) $ \infty $

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Answer:

Correct Answer: D

Solution:

Area $ A=\int_0^{\infty }{\log x.dx} $

$ =(x\log x-x)_0^{\infty }=\infty $