int(3)^(10)[log[x]]dx is equal to (where...

`int_(3)^(10)[log[x]]dx` is equal to (where [.] represents the greatest integer function)

A

9

B

`16-e`

C

`10`

D

`10+e`

Text Solution

Verified by Experts

The correct Answer is:

A

When `ele[x]lt e^(2), 1le log [x]lt 2`
when `e^(2) le [x] lte^(3), 2lt log [x] lt 3`
`:.int_(3)^(8)1 dx+int_(8)^(10)2dx=9`

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