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What is int(1)^(2)ln x dx equal to ?...

What is `int_(1)^(2)ln x dx` equal to ?

A

`ln 2`

B

`1`

C

`ln (4/e)`

D

`ln (e/4)`

Text Solution

Verified by Experts

The correct Answer is:
C
`int_(1)^(2) ln xdx = [x ln x - x]_(1)^(2)`
`=2ln 2 - 2- lnl + 1`
`= ln4- lne = ln (4/e)`
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NDA PREVIOUS YEARS-DEFINITE INTEGRATION & ITS APPLICATION-DIRECTIONS
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