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Question

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

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

A

1

B

2

C

3

D

\infty

Answer

\infty

Explanation

Solution

Area A=0logx.dxA = \int _ { 0 } ^ { \infty } \log x . d x =(xlogxx)0== ( x \log x - x ) _ { 0 } ^ { \infty } = \infty