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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫tan⁡(3x−5)sec⁡(3x−5)dx=\int \tan (3 x-5) \sec (3 x-5) d x=
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Correct option: B
13sec⁡(3x−5)+c\frac{1}{3} \sec (3 x-5)+c
Option B is correct because substituting t=3x−5t = 3x - 5 transforms the integral to 13∫tan⁡tsec⁡tdt\frac{1}{3} \int \tan t \sec t dt, which equals 13sec⁡t+c=13sec⁡(3x−5)+c\frac{1}{3} \sec t + c = \frac{1}{3} \sec(3x - 5) + c.

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