Solve this following

Question:

Mark $(\sqrt{ })$ against the correct answer in each of the following:

$\int \frac{x^{2}}{\left(9+4 x^{2}\right)}=?$

A. $\frac{x}{4}-\frac{1}{8} \tan ^{-1} \frac{x}{3}+C$

B. $\frac{x}{4}-\frac{3}{8} \tan ^{-1} \frac{x}{3}+C$

C. $\frac{x}{4}-\frac{3}{8} \tan ^{-1} \frac{2 x}{3}+C$

D. none of these

Solution:

 

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