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\( \int \frac{x^{9}}{\left(4 x^{2}+1\right)^{6}} d x \) is equal to
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(A) \( \frac{1}{5 x}\left(4+\frac{1}{x^{2}}\right)^{-5}+\mathrm{C} \)
(B) \( \frac{1}{5}\left(4+\frac{1}{x^{2}}\right)^{-5}+C \)
(C) \( \frac{1}{10 x}(1+4)^{-5}+C \)
(D) \( \frac{1}{10}\left(\frac{1}{x^{2}}+4\right)^{-5}+\mathrm{C} \)
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