The equation \( \int_{0}^{x}\left(t^{2}-8 t+13\right) d t=x \sin (a...

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The equation \( \int_{0}^{x}\left(t^{2}-8 t+13\right) d t=x \sin (a / x) \) has a solution if \( \sin (a / 6) \) is equal to
(a) 0
(b) 1
(c) \( 1 / 2 \)
(d) \( 2 / 3 \)
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