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If `f(x)` is a function satisfying `f(1/x)+x^2f(x)=0` for all nonzero `x` , then evaluate `int_(sintheta)^(cos e ctheta)f(x)dx`

A

`sin theta + cosec theta`

B

` sin ^(2) theta `

C

`cosec ^(2) theta`

D

None of these

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The correct Answer is:
D
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