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$\int \sin 2 x d (\tan x) is equal to$

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2ln⁡|cos⁡x|+C

ln⁡|cos⁡x|+C

2ln⁡|sec⁡x|+C

ln⁡|sec⁡x|+C

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detailed solution

Correct option is C

I=∫sin⁡2x⋅d(tan⁡x)=∫sin⁡2x⋅sec2⁡xdx=2∫tan⁡xdx=2ln⁡|sec⁡x|+C

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∫sin⁡2xd(tan⁡x) is equal to

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$\int \sin 2 x d (\tan x) is equal to$