Find the Integral $\int x \tan ^{2} 3 x d x$

Find the integral. $\int x \tan ^{2} 3 x d x$

A) $\frac{1}{3} x^{2} \tan 3 x+\frac{1}{9} \ln |\cos 3 x|-\frac{1}{2} x^{2}+C$
B) $\frac{1}{2} x^{2} \tan 3 x+\frac{1}{3} \ln |\cos 3 x|-\frac{1}{2} x^{2}+C$
C) $\frac{1}{2} x \tan 3 x+\frac{1}{3} \ln |\cos 3 x|-\frac{1}{2} x^{2}+C$
D) $\frac{1}{3} x \tan 3 x+\frac{1}{9} \ln |\cos 3 x|-\frac{1}{2} x^{2}+C$

Correct Answer:

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