int(pi//6)^(pi//2) ("cosec "x cot x)/(1+...

`int_(pi//6)^(pi//2) ("cosec "x cot x)/(1+ "cosec"^(2)x)`

A

`-tan^(-1)(1/3)`

B

`tan ^(-1)(1/3)`

C

`-tan ^(-1) 3`

D

`tan^(-1)3`

Text Solution

Verified by Experts

The correct Answer is:

B

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A

`log3`

B

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C

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D

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The value of int_0^(pi//2) "cosec" (x - pi/3) "cosec" (x - pi/6) dx is

A

`2 log 3`

B

`-2 log 3`

C

`log 3`

D

none of these

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