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Question

Question: The area bounded by y = ln x, the x-axis and the ordinates x = 0 and x = 1, is...

The area bounded by y = ln x, the x-axis and the ordinates x = 0 and x = 1, is

A

1

B

3/2

C

–1

D

None of these

Answer

1

Explanation

Solution

The required area is shown shaded in the figure.

Area = –

= 01lnxdx=(xxlnx)01=1- \int _ { 0 } ^ { 1 } \ln x d x = ( x - x \ln x ) _ { 0 } ^ { 1 } = 1 .