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Evaluate intsqrt(1+"cosec"x)dx,(pi//2lt...

Evaluate `intsqrt(1+"cosec"x)dx,(pi//2lt x lt pi)`

A

`"sin"^(-1) (tan x - sec x)`

B

`"sin"^(-1)(cos x)`

C

`"sin"^(-1)("sin" x/2 . "cos" x/2)`

D

` 2 "sin"^(-1)("sin" x/2 - "cos" x/2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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