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Find the Integral tan2xsec6xdx\int \tan ^{2} x \sec ^{6} x d x

Question 78

Multiple Choice

Find the integral. tan2xsec6xdx\int \tan ^{2} x \sec ^{6} x d x


A) 17tan7x+25tan5x+13tan3x+C\frac{1}{7} \tan ^{7} x+\frac{2}{5} \tan ^{5} x+\frac{1}{3} \tan ^{3} x+C
B) 15tan5x+23tan3x+tanx+C\frac{1}{5} \tan ^{5} x+\frac{2}{3} \tan ^{3} x+\tan x+C
C) 15tan5x+23tan3xtanx+C\frac{1}{5} \tan ^{5} x+\frac{2}{3} \tan ^{3} x-\tan x+C
D) 17tan7x+25tan5x13tan3x+C\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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