If f(x) is a function satisfying f(1/x)+...

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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To solve the problem, we need to evaluate the integral \[ I = \int_{\sin \theta}^{\csc \theta} f(x) \, dx \] given that the function \( f(x) \) satisfies the equation ...

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