If \( f(x)=x^{3}+a x^{2}+b x+5 \sin ^{2} x \) be a increasing function in \( R \). Then \( a \) ...

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If \( f(x)=x^{3}+a x^{2}+b x+5 \sin ^{2} x \) be a increasing function in \( R \). Then \( a \) and \( b \) satisfy the condition
(a) \( a^{2}-3 b-150 \)
(b) \( a^{2}-3 b+150 \)
(c) \( a^{2}-3 b-150 \)
(d) \( a^{2}-3 b+150 \)
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