If \( I=\int \sqrt{x^{2}+5 x+1} d x=\frac{2 x+5}{4} \sqrt{x^{2}+5 x...

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If \( I=\int \sqrt{x^{2}+5 x+1} d x=\frac{2 x+5}{4} \sqrt{x^{2}+5 x+1}+ \)
\( \mathrm{P}^{12 i} \) \( A \log \left|x+\frac{5}{2}+\sqrt{x^{2}+5 x+1}\right|+C \), then \( A= \)
(1) \( \frac{21}{4} \)
(2) \( \frac{-21}{4} \)
(3) \( \frac{21}{8} \)
(4) \( \frac{-21}{8} \)
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