int(1)^(e )((log x)^(3))/(x)dx=...

`int_(1)^(e )((log x)^(3))/(x)dx=`

A

`e^(4)`

B

`(1)/(4)`

C

`(1)/(4)(e^(4)-1)`

D

0

Text Solution

Verified by Experts

The correct Answer is:

B

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Knowledge Check

int_(1)^(e )((log x)^(4))/(x)dx=

A

`(1)/(2)`

B

`(1)/(3)`

C

`(1)/(4)`

D

`(1)/(5)`

int_(1)^(e) log (x) dx=

A

1

B

e

C

`e-1`

D

`1-e`

The value of integral int_(1)^(e) (log x)^(3)dx , is

A

`6+2e`

B

`6-2e`

C

`2e-6`

D

none of these

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