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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫sec⁡xcosec⁡xlog⁡tan⁡xdx\int \frac{\sec x \operatorname{cosec} x}{\log \tan x} d x
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Correct option: C
log⁡(log⁡tan⁡x)+c\log (\log \tan x)+c
Option C (log⁡(log⁡tan⁡x)+c\log (\log \tan x)+c) is correct because substituting t=log⁡tan⁡xt = \log \tan x simplifies the integral to ∫dtt\int \frac{dt}{t}, which integrates to log⁡t+c\log t + c.

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