Let \( f(x)=a x^{3}+b x^{2}+c x \) have relative extrema \( x=1 \) ...

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Let \( f(x)=a x^{3}+b x^{2}+c x \) have relative extrema \( x=1 \) and at \( x=5 \). If \( \int_{-1}^{1} f(x) d x=6 \) then
\( \mathrm{P} \)
(a) \( a=-1 \)
(b) \( b=9 \)
(c) \( c=15 \)
(d) \( a=1 \)
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