The range of the function \( f(x)=\int_{-1}^{1} \frac{\sin x d t}{\... VIDEO
The range of the function \( f(x)=\int_{-1}^{1} \frac{\sin x d t}{\left(1-2 t \cos x+t^{2}\right)} \) is
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(1) \( \left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \)
(2) \( [0, \pi] \)
(3) \( \{0, \pi\} \)
(4) \( \left\{-\frac{\pi}{2}, \frac{\pi}{2}\right\} \)
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