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Evaluate the Integral ∫6sec⁡(3x−7)dx\int 6 \sec ( 3 x - 7 ) \mathrm { d } x

Question 15

Multiple Choice

Evaluate the integral. ∫6sec⁡(3x−7) dx\int 6 \sec ( 3 x - 7 ) \mathrm { d } x


A) 2ln⁡∣tan⁡(3x−7) ∣+C2 \ln | \tan ( 3 x - 7 ) | + C
B) 2ln⁡∣sec⁡(3x−7) +tan⁡(3x−7) ∣+C2 \ln | \sec ( 3 x - 7 ) + \tan ( 3 x - 7 ) | + C
C) 6ln⁡∣sec⁡(3x−7) +tan⁡(3x−7) ∣+C6 \ln | \sec ( 3 x - 7 ) + \tan ( 3 x - 7 ) | + C
D) ln⁡∣sec⁡(3x−7) +tan⁡(3x−7) ∣+C\ln | \sec ( 3 x - 7 ) + \tan ( 3 x - 7 ) | + C
E) 2ln⁡∣sec⁡(3x−7) ∣+C2 \ln | \sec ( 3 x - 7 ) | + C

Correct Answer:

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