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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫sec⁡2/3xcosec⁡4/3xdx=\int \sec ^{2 / 3} x \operatorname{cosec}^{4 / 3} x d x=
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Correct option: B
−3(tan⁡x)−1/3+c-3(\tan x)^{-1 / 3}+c
Option B is correct because the integral can be simplified using trigonometric identities and solved using substitution, resulting in −3(tan⁡x)−1/3+c-3(\tan x)^{-1 / 3}+c.

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