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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1
If the ∫5tan⁡xtan⁡x−2dx=x+aln⁡∣sin⁡x−2cos⁡x∣+k\int \frac{5 \tan x}{\tan x-2} d x=x+a \ln |\sin x-2 \cos x|+k, then aa is equal to:
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Correct option: D
2
Option D (2) is correct because after simplifying the integral, the coefficient of the natural logarithm term is 2.

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