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Evaluate the integral:

$$\int \frac{1}{x^4 \sqrt{x^2-11}} dx$$

A

$\cfrac{1}{121}\left(\sqrt{1-\cfrac{11}{x^2}}-\cfrac{1}{3}\left(1-\cfrac{11}{x^2}\right)^{3/2}\right)+C$

B

$\cfrac{1}{121}\left(\sqrt{11-\cfrac{1}{x^2}}-\cfrac{1}{3}\left(11-\cfrac{1}{x^2}\right)^{3/2}\right)+C$

C

$\cfrac{1}{121}\left(\sqrt{1-\frac{11}{x^2}}+\cfrac{1}{3}\left(1-\cfrac{11}{x^2}\right)^{3/2}\right)+C$

D

$\cfrac{1}{121}\left(\sqrt{11-\cfrac{1}{x^2}}+\cfrac{1}{3}\left(11-\cfrac{1}{x^2}\right)^{3/2}\right)+C$

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