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The value of integral underset(2)overset...

The value of integral `underset(2)overset(4)int(dx)/(x)` is :-

A

`3 log _(e)2`

B

`log _(e)2`

C

`log _(e)4`

D

`2 log _(e) 8`

Text Solution

Verified by Experts

The correct Answer is:
B
`int _(2)^(4) (1)/(x) dx=log _(e)x |_(2)^(4)`
` =log _(e) 4-log _(e)2`
`=log _(e) ((4)/(2))=log _(e)2`
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