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The value of π/4π/2cotθcosec2θdθ is 

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a
−12
b
12
c
13
d
-13

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detailed solution

Correct option is B

∫π/4π/2 cot⁡θcosec2⁡θdθ=−∫10 udu (u=cot⁡θ)=∫01 udu=u2201=12


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