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int(1)^(10pi)([sec^(-1)x]+[cot^(-1)x])dx...

`int_(1)^(10pi)([sec^(-1)x]+[cot^(-1)x])dx`, where [.] denotes the greatest integer function, is equal to:

A

`10pi-tan^(-1)x`

B

`8pi-sec1`

C

`10pi-sec1`

D

`10pi+sec1`

Text Solution

Verified by Experts

The correct Answer is:
C
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