Find the Integral $\int \tan ^{2} x \sec ^{6} x d x$

Find the integral. $\int \tan ^{2} x \sec ^{6} x d x$

A) $\frac{1}{7} \tan ^{7} x+\frac{2}{5} \tan ^{5} x+\frac{1}{3} \tan ^{3} x+C$
B) $\frac{1}{5} \tan ^{5} x+\frac{2}{3} \tan ^{3} x+\tan x+C$
C) $\frac{1}{5} \tan ^{5} x+\frac{2}{3} \tan ^{3} x-\tan x+C$
D) $\frac{1}{7} \tan ^{7} x+\frac{2}{5} \tan ^{5} x-\frac{1}{3} \tan ^{3} x+C$

Correct Answer:

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