Q.

∫sin⁡2xd(tan⁡x) is equal to

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a

2ln⁡|cos⁡x|+C

b

ln⁡|cos⁡x|+C

c

2ln⁡|sec⁡x|+C

d

ln⁡|sec⁡x|+C

answer is C.

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Detailed Solution

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