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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
If the integral ∫5tan⁡xtan⁡x−2dx=x+\int \frac{5 \tan x}{\tan x-2} d x=x+ alog⁡∣sin⁡x−2cos⁡x∣+Ka \log |\sin x-2 \cos x|+K, then aa is equal to
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Correct option: C
2
Option C is correct because the integral can be solved by rewriting the integrand and using logarithmic integration.

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