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Find the Integral xtan23xdx\int x \tan ^{2} 3 x d x

Question 43

Multiple Choice

Find the integral. xtan23xdx\int x \tan ^{2} 3 x d x


A) 13x2tan3x+19lncos3x12x2+C\frac{1}{3} x^{2} \tan 3 x+\frac{1}{9} \ln |\cos 3 x|-\frac{1}{2} x^{2}+C
B) 12x2tan3x+13lncos3x12x2+C\frac{1}{2} x^{2} \tan 3 x+\frac{1}{3} \ln |\cos 3 x|-\frac{1}{2} x^{2}+C
C) 12xtan3x+13lncos3x12x2+C\frac{1}{2} x \tan 3 x+\frac{1}{3} \ln |\cos 3 x|-\frac{1}{2} x^{2}+C
D) 13xtan3x+19lncos3x12x2+C\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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