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int(pi//3)^(pi//2)cosecxdx=?...

`int_(pi//3)^(pi//2)cosecxdx=?`

A

`(1)/(2)log2`

B

`(1)/(2)log3`

C

`-log2`

D

none of these

Text Solution

Verified by Experts

`I=int_(pi//3)^(pi//2)cosecxdx=[logtan"(x)/(2)]_(pi//3)^(pi//2)=(log1-log.(1)/(sqrt(3)))=(1)/(2)log3`.
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