Solve this following


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

$\int x \cos ^{2} x d x=?$

A. $\frac{x^{2}}{4}-\frac{x \sin 2 x}{4}+\frac{\cos 2 x}{8}+C$

B. $\frac{x^{2}}{4}+\frac{x \sin 2 x}{4}+\frac{\cos 2 x}{8}+C$

C. $\frac{x^{2}}{4}+\frac{x \sin 2 x}{4}-\frac{\cos 2 x}{8}+C$

D. none of these


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