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Find the Integral ∫tan⁡3xsec⁡5xdx\int \tan ^{3} x \sec ^{5} x d x

Question 54

Multiple Choice

Find the integral. ∫tan⁡3xsec⁡5xdx\int \tan ^{3} x \sec ^{5} x d x


A) 15sec⁡5x−13sec⁡3x+C\frac{1}{5} \sec ^{5} x-\frac{1}{3} \sec ^{3} x+C
B) 15sec⁡3x+13sec⁡3x+C\frac{1}{5} \sec ^{3} x+\frac{1}{3} \sec ^{3} x+C
C) 17sec⁡7x−15sec⁡3x+C\frac{1}{7} \sec ^{7} x-\frac{1}{5} \sec ^{3} x+C
D) 17sec⁡7x+15sec⁡3x+C\frac{1}{7} \sec ^{7} x+\frac{1}{5} \sec ^{3} x+C

Correct Answer:

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